Added libec_slap test

3 files changed, 602 insertions, 1 deletions

diff --git a/test/Makefile.am b/test/Makefile.am
index 88c2631..3e9c85f 100644
--- a/test/Makefile.am
+++ b/test/Makefile.am
@@ -1,5 +1,5 @@
 noinst_HEADERS = builtin/xor_codes/test_xor_hd_code.h
-noinst_PROGRAMS = test_xor_hd_code alg_sig_test liberasurecode_test
+noinst_PROGRAMS = test_xor_hd_code alg_sig_test liberasurecode_test libec_slap
 
 test_xor_hd_code_SOURCES = \
 	builtin/xor_codes/test_xor_hd_code.c \
@@ -18,6 +18,11 @@ liberasurecode_test_CPPFLAGS = -I$(top_srcdir)/include -I$(top_srcdir)/include/e
 liberasurecode_test_LDFLAGS = @GCOV_LDFLAGS@ $(top_srcdir)/src/liberasurecode.la -ldl -lpthread
 check_PROGRAMS += liberasurecode_test
 
+libec_slap_SOURCES = libec_slap.c
+libec_slap_CPPFLAGS = -I. -I$(top_srcdir)/include -I$(top_srcdir)/include/erasurecode  @GCOV_FLAGS@
+libec_slap_LDFLAGS = @GCOV_LDFLAGS@ $(top_srcdir)/src/liberasurecode.la -ldl -lpthread
+check_PROGRAMS += libec_slap
+
 MOSTLYCLEANFILES = *.gcda *.gcno *.gcov \
                    ./builtin/xor_codes/*.gcda ./builtin/xor_codes/*.gcno ./builtin/xor_codes/*.gcov \
                    ./utils/chksum/*.gcda ./utils/chksum/*.gcno ./utils/chksum/*.gcov
diff --git a/test/libec_slap.c b/test/libec_slap.c
new file mode 100644
index 0000000..2110e29
--- /dev/null
+++ b/test/libec_slap.c
@@ -0,0 +1,504 @@
+/*
+ * <Copyright>
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *
+ * Redistributions of source code must retain the above copyright notice, this
+ * list of conditions and the following disclaimer.
+ *
+ * Redistributions in binary form must reproduce the above copyright notice, this
+ * list of conditions and the following disclaimer in the documentation and/or
+ * other materials provided with the distribution.  THIS SOFTWARE IS PROVIDED BY
+ * THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
+ * EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
+ * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+ * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
+ * OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * EDL 8/26/2014: This test is based on the test/test_xor_hd_code. It runs
+ * through a similar set of conditions but instead uses the liberasurecode
+ * API as opposed to directly talking to xor implementation. In the original
+ * test_xor_hd_code, we measured the performance of a series of encode/decode
+ * ops. For the time being, I have "disabled" the performance measurement in
+ * this test ... the main reason for doing so was that we need to some more
+ * memory management when using the API and I did not want those management
+ * ops polluting the resutls. When I have some time I will renable address
+ * this (figure out how to make sure memory management does not affect perf 
+ * numbers).
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include <assert.h>
+#include "erasurecode.h"
+#include "erasurecode_helpers.h"
+#include "builtin/xor_codes/test_xor_hd_code.h"
+
+struct frag_array_set {
+    unsigned int num_fragments;
+    char **array;
+};
+
+void print_mask(unsigned long mask)
+{
+    unsigned int i = 0;
+    unsigned long pos = 1;
+
+    if (mask == 0) {
+        fprintf(stderr,"  No Missing fragments\n");
+        return;
+    }
+    fprintf(stderr,"  Missing fragments = ");
+    for (i = 0; i < (sizeof(size_t) * 8) - 1; i++) {
+        if ((mask & (pos << i)) != 0) {
+            fprintf(stderr,"%d ",i);
+        }
+    }
+    fprintf(stderr,"\n");
+}
+
+void missing_mask_to_array(unsigned long mask, unsigned int *missing)
+{
+    unsigned int i = 0;
+    unsigned long pos = 1;
+
+    for (i = 0; i < (sizeof(size_t) * 8) - 1; i++) {
+        if ((mask & (pos << i)) != 0) {
+            *missing = i;
+        }
+    }
+}
+
+size_t add_item_to_missing_mask(unsigned long mask, unsigned int pos) 
+{
+    if (pos < 0) {
+        return mask;
+    }
+    unsigned long f = 1L << pos;
+    mask |= f;
+    return mask;
+}
+
+static int create_frags_array_set(struct frag_array_set *set,
+        char **data,
+        unsigned int num_data_frags,
+        char **parity,
+        unsigned int num_parity_frags,
+        unsigned long missing_mask)
+{
+    int rc =0;
+    unsigned int num_frags = 0;
+    unsigned long i = 0;
+    fragment_header_t *header = NULL;
+    char **ptr = NULL;
+    size_t size = (num_data_frags + num_parity_frags) * sizeof(char *);
+    char **array = malloc(size);
+
+    if (array == NULL) {
+        rc = -1;
+        goto out;
+    }
+
+    //add data frags
+    memset(array, 0, size);
+    for (i = 0; i < num_data_frags; i++) {
+        if ( (missing_mask | 1L << i) == 1) {
+            continue;
+        }
+        header = (fragment_header_t*)data[i];
+        if (header == NULL ||
+                header->magic != LIBERASURECODE_FRAG_HEADER_MAGIC) {
+            continue;
+        }
+        array[num_frags++] = data[i];
+    }
+
+    //add parity frags
+    for (i = 0; i < num_parity_frags; i++) {
+        if ( (missing_mask | 1L << (i + num_data_frags)) == 1) {
+            continue;
+        }
+        header = (fragment_header_t*)parity[i];
+        if (header == NULL ||
+                header->magic != LIBERASURECODE_FRAG_HEADER_MAGIC) {
+            continue;
+        }
+        array[num_frags++] = parity[i];
+    }
+
+    set->num_fragments = num_frags;
+    set->array = array;
+out:
+    return rc;
+}
+
+static void fill_buffer(unsigned char *buf, size_t size, int seed)
+{
+    size_t i;
+    buf[0] = seed;
+
+    for (i=1; i < size; i++) {
+        buf[i] = ((buf[i-1] + i) % 256);
+    }
+}
+
+static int test_hd_code(struct ec_args *args,
+    int num_failure_combs,
+    int failure_combs[][4])
+{
+    int i, j, err;
+    unsigned int num_iter = 1000;
+    size_t blocksize = 32768;
+    int missing_idxs[4] = { -1, -1, -1, -1 };
+    int excluded_idxs[4] = { -1, -1, -1, -1 };
+    int ret = 0;
+    char *data, **parity;
+    clock_t start_time, end_time;
+    int *fragments_needed;
+    char **encoded_data = NULL; 
+    char **encoded_parity = NULL;
+    uint64_t encoded_fragment_len = 0;
+    int rc = 0;
+    int num_fragments = args->k + args->m;
+    char **available_frags = NULL;
+    char *out_data = NULL;
+    uint64_t out_data_len = 0;
+    unsigned long mask = 0;
+    int desc = -1;
+    unsigned int num_available_frags = 0;
+    struct frag_array_set frags; //MOVE ME
+
+    srand(time(NULL));
+
+    /*
+     * Set up data and parity fragments. 
+     */
+
+    fragments_needed = (int*)malloc(args->k*args->m*sizeof(int));
+    if (!fragments_needed) {
+        fprintf(stderr, "Could not allocate memory for fragments %d\n", i);
+        exit(2);
+    }
+    memset(fragments_needed, 0,  args->k*args->m*sizeof(int));
+
+    err = posix_memalign((void **) &data, 16, blocksize * args->k);
+    if (err != 0 || !data) {
+        fprintf(stderr, "Could not allocate memory for data %d\n", i);
+        exit(1);
+    }
+    fill_buffer(data, blocksize * args->k, i);
+
+    parity = (char**)malloc(args->m * sizeof(char*));
+    for (i=0; i < args->m; i++) {
+        err = posix_memalign((void **) &parity[i], 16, blocksize);
+        if (err != 0 || !parity[i]) {
+            fprintf(stderr, "Could not allocate memory for parity %d\n", i);
+            exit(1);
+        }
+        memset(parity[i], 0, blocksize);
+    }
+
+    /*
+     * Get handle
+     */
+    desc = liberasurecode_instance_create("flat_xor_hd", args);
+    if (desc <= 0) {
+        fprintf(stderr, "Could not create libec descriptor\n");
+        exit(1);
+    }
+
+    /*
+     * Run Encode test
+     */
+    start_time = clock();
+    for (i=0; i < num_iter-1; i++) {
+        rc = liberasurecode_encode(desc, data, blocksize * args->k,
+                                   &encoded_data, &encoded_parity,
+                                   &encoded_fragment_len);
+        //FIXME: this and the following free's taint the perf test
+        assert(0 == rc);
+        for (j = 0; j < args->k; j++) {
+            free(encoded_data[j]);    
+        }
+        free(encoded_data);
+        for (j = 0; j < args->m; j++) {
+            free(encoded_parity[j]);    
+        }
+        free(encoded_parity);
+    }
+    end_time = clock();
+    fprintf(stderr, " Encode: OK\n");
+    /*
+    fprintf(stderr, "Encode: %.2f MB/s\n", 
+            ((double)(num_iter * blocksize * args->k) / 1000 / 1000 )
+            / ((double)(end_time-start_time) / CLOCKS_PER_SEC));*/
+
+    for (i=0; i < args->m; i++) {
+        memset(parity[i], 0, blocksize);
+    }
+    rc = liberasurecode_encode(desc, data, blocksize * args->k, &encoded_data,
+                               &encoded_parity, &encoded_fragment_len);
+    assert(0 == rc);
+
+    /*
+     * Run Decode Test
+     */
+    for (i=0; i < num_failure_combs; i++) {
+        mask = 0;
+        for (j = 0; j < 3; j++) {
+            int idx = failure_combs[i][j];
+            if (idx == -1) {
+                continue;
+            }
+            mask = add_item_to_missing_mask(mask, idx);
+        }
+
+        /*
+         * Spot check to ensure missing elements are not included in
+         * list of fragments needed and that decode is 'doable'
+         */
+        missing_mask_to_array(mask, missing_idxs);
+        ret = liberasurecode_fragments_needed(desc, missing_idxs, excluded_idxs,
+                                              fragments_needed); //known leak
+        if (ret < 0) {
+            fprintf(stderr,"xor_hd_fragments_needed thinks reconstruction not possible, when it is!\n");
+            exit(2);
+        }
+
+        /*
+         * Make sure that none of the missig fragments are in the set of
+         * fragments needed to reconstruct the object.
+         */
+        j = 0;
+        while (fragments_needed[j] > -1) {
+            if (fragments_needed[j] == missing_idxs[0] ||
+                fragments_needed[j] == missing_idxs[1] ||
+                fragments_needed[j] == missing_idxs[2]) {
+                fprintf(stderr, 
+                        "fragments_needed[%d]=%d in missing index list: (%d %d %d)!\n",
+                        j, fragments_needed[j], missing_idxs[0],
+                        missing_idxs[1], missing_idxs[2]);
+                exit(2);
+            }
+            j++;
+        }
+        create_frags_array_set(&frags,encoded_data, args->k, encoded_parity,
+                               args->m, mask);
+        rc = liberasurecode_decode(desc, frags.array, frags.num_fragments,
+                                   encoded_fragment_len, &out_data,
+                                   &out_data_len);
+        assert(rc == 0);
+        assert(out_data_len == blocksize * args->k);
+        if (memcmp(data, out_data, out_data_len) != 0) {
+            fprintf(stderr, "Decode did not work: (%d %d %d)!\n",
+                    missing_idxs[0], missing_idxs[1], missing_idxs[2]);
+            exit(2);
+        }
+        free(frags.array);
+        free(out_data);
+    }
+
+    start_time = clock();
+    for (i=0; i < num_iter; i++) {
+        mask = 0;
+        int mi = rand() % (args->k + args->m);
+
+        mask = add_item_to_missing_mask(mask, mi);
+        for (j=1; j < args->hd-1;j++) {
+            mi = mi + 1 % (args->k + args->m);
+            mask = add_item_to_missing_mask(mask, mi);
+        }
+        create_frags_array_set(&frags,encoded_data, args->k, encoded_parity,
+                               args->m, mask);
+        rc = liberasurecode_decode(desc, frags.array, frags.num_fragments,
+                                   encoded_fragment_len, &out_data,
+                                   &out_data_len);
+        free(frags.array);
+        free(out_data);
+        fprintf(stderr," Decode Scenario:");
+        print_mask(mask);
+    }
+    end_time = clock();
+/*
+    fprintf(stderr, "Decode: %.2f MB/s\n",
+            ((double)(num_iter * blocksize * args->k) / 1000 / 1000 ) / ((double)(end_time-start_time) / CLOCKS_PER_SEC));*/
+    for (j = 0; j < args->k; j++) {
+        free(encoded_data[j]);    
+    }
+    free(encoded_data);
+    for (j = 0; j < args->m; j++) {
+        free(encoded_parity[j]);    
+    }
+    free(encoded_parity);
+    free(fragments_needed);
+    free(data);
+    for (i = 0; i < args->m; i++) {
+        free(parity[i]);
+    }
+    free(parity);
+
+    liberasurecode_instance_destroy(desc);
+    return 0;
+}
+
+static int run_test(int k, int m, int hd)
+{
+    int ret = -1;
+    struct ec_args args = {
+        .k = k,
+        .m = m,
+        .hd = hd,
+    };
+
+    fprintf(stderr, "Running (%d, %d, %d):\n", k, m, hd);
+
+    switch(k+m)
+    {
+        case 10:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_10_3_COMBS, failure_combs_10_3);
+            } else {
+                ret = test_hd_code(&args, NUM_10_4_COMBS, failure_combs_10_4);
+            }
+            break;
+        case 11:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_11_3_COMBS, failure_combs_11_3);
+            } else {
+                ret = test_hd_code(&args, NUM_11_4_COMBS, failure_combs_11_4);
+            }
+            break;
+        case 12:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_12_3_COMBS, failure_combs_12_3);
+            } else {
+                ret = test_hd_code(&args, NUM_12_4_COMBS, failure_combs_12_4);
+            }
+            break;
+        case 13:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_13_3_COMBS, failure_combs_13_3);
+            } else {
+                ret = test_hd_code(&args, NUM_13_4_COMBS, failure_combs_13_4);
+            }
+            break;
+        case 14:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_14_3_COMBS, failure_combs_14_3);
+            } else {
+                ret = test_hd_code(&args, NUM_14_4_COMBS, failure_combs_14_4);
+            }
+            break;
+        case 15:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_15_3_COMBS, failure_combs_15_3);
+            } else {
+                ret = test_hd_code(&args, NUM_15_4_COMBS, failure_combs_15_4);
+            }
+            break;
+        case 16:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_16_3_COMBS, failure_combs_16_3);
+            } else {
+                ret = test_hd_code(&args, NUM_16_4_COMBS, failure_combs_16_4);
+            }
+            break;
+        case 17:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_17_3_COMBS, failure_combs_17_3);
+            } else {
+                ret = test_hd_code(&args, NUM_17_4_COMBS, failure_combs_17_4);
+            }
+            break;
+        case 18:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_18_3_COMBS, failure_combs_18_3);
+            } else {
+                ret = test_hd_code(&args, NUM_18_4_COMBS, failure_combs_18_4);
+            }
+            break;
+        case 19:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_19_3_COMBS, failure_combs_19_3);
+            } else {
+                ret = test_hd_code(&args, NUM_19_4_COMBS, failure_combs_19_4);
+            }
+            break;
+        case 20:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_20_3_COMBS, failure_combs_20_3);
+            } else {
+                ret = test_hd_code(&args, NUM_20_4_COMBS, failure_combs_20_4);
+            }
+            break;
+        case 21:
+            if (hd == 3) {
+                ret = test_hd_code(&args, NUM_21_3_COMBS, failure_combs_21_3);
+            } else {
+                ret = test_hd_code(&args, NUM_21_4_COMBS, failure_combs_21_4);
+            }
+            break;
+        case 22:
+            ret = test_hd_code(&args, NUM_22_4_COMBS, failure_combs_22_4);
+            break;
+        case 23:
+            ret = test_hd_code(&args, NUM_23_4_COMBS, failure_combs_23_4);
+            break;
+        case 24:
+            ret = test_hd_code(&args, NUM_24_4_COMBS, failure_combs_24_4);
+            break;
+        case 25:
+            ret = test_hd_code(&args, NUM_25_4_COMBS, failure_combs_25_4);
+            break;
+        case 26:
+            ret = test_hd_code(&args, NUM_26_4_COMBS, failure_combs_26_4);
+            break;
+        default:
+            ret = -1; 
+    }
+    return ret; 
+}
+
+int main()
+{
+    int ret = 0;
+    int i;
+    for (i=6; i < 16; i++) {
+        ret = run_test(i, 6, 3);
+        if (ret != 0) {
+            return ret;
+        }
+    }
+
+    for (i=5; i < 11; i++) {
+        ret = run_test(i, 5, 3);
+        if (ret != 0) {
+            return ret;
+        }
+    }
+
+    for (i=6; i < 21; i++) {
+        ret = run_test(i, 6, 4);
+        if (ret != 0) {
+            return ret;
+        }
+    }
+    for (i=5; i < 11; i++) {
+        ret = run_test(i, 5, 4);
+        if (ret != 0) {
+            return ret;
+        }
+    }
+    exit(ret);
+}
+
diff --git a/test/libec_slap.h b/test/libec_slap.h
new file mode 100644
index 0000000..eb96d05
--- /dev/null
+++ b/test/libec_slap.h
@@ -0,0 +1,92 @@
+/* * Copyright (c) 2013, Kevin Greenan (kmgreen2@gmail.com)
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *
+ * Redistributions of source code must retain the above copyright notice, this
+ * list of conditions and the following disclaimer.
+ *
+ * Redistributions in binary form must reproduce the above copyright notice, this
+ * list of conditions and the following disclaimer in the documentation and/or
+ * other materials provided with the distribution.  THIS SOFTWARE IS PROVIDED BY
+ * THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO
+ * EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
+ * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+ * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
+ * OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
+ * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#define NUM_10_3_COMBS 55
+int failure_combs_10_3[NUM_10_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {8, 9, -1, -1}} ;
+#define NUM_10_4_COMBS 175
+int failure_combs_10_4[NUM_10_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {8, 9, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 8, 9, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 8, 9, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 8, 9, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 8, 9, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 8, 9, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 8, 9, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 8, 9, -1}, {7, 8, 9, -1}} ;
+#define NUM_11_3_COMBS 66
+int failure_combs_11_3[NUM_11_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {9, 10, -1, -1}} ;
+#define NUM_11_4_COMBS 231
+int failure_combs_11_4[NUM_11_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {9, 10, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 9, 10, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 9, 10, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 9, 10, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 9, 10, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 9, 10, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 9, 10, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 9, 10, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 9, 10, -1}, {8, 9, 10, -1}} ;
+#define NUM_12_3_COMBS 78
+int failure_combs_12_3[NUM_12_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {10, 11, -1, -1}} ;
+#define NUM_12_4_COMBS 298
+int failure_combs_12_4[NUM_12_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {10, 11, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 10, 11, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 10, 11, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 10, 11, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 10, 11, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 10, 11, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 10, 11, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 10, 11, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 10, 11, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 10, 11, -1}, {9, 10, 11, -1}} ;
+#define NUM_13_3_COMBS 91
+int failure_combs_13_3[NUM_13_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {11, 12, -1, -1}} ;
+#define NUM_13_4_COMBS 377
+int failure_combs_13_4[NUM_13_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {11, 12, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 11, 12, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 10, 11, -1}, {1, 10, 12, -1}, {1, 11, 12, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 3, 12, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 4, 12, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 5, 12, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 6, 12, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 7, 12, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 8, 12, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 9, 12, -1}, {2, 10, 11, -1}, {2, 10, 12, -1}, {2, 11, 12, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 4, 12, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 5, 12, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 6, 12, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 7, 12, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 8, 12, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 9, 12, -1}, {3, 10, 11, -1}, {3, 10, 12, -1}, {3, 11, 12, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 5, 12, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 6, 12, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 7, 12, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 8, 12, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 9, 12, -1}, {4, 10, 11, -1}, {4, 10, 12, -1}, {4, 11, 12, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 6, 12, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 7, 12, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 8, 12, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 9, 12, -1}, {5, 10, 11, -1}, {5, 10, 12, -1}, {5, 11, 12, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 7, 12, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 8, 12, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 11, 12, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 11, 12, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 11, 12, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 11, 12, -1}, {10, 11, 12, -1}} ;
+#define NUM_14_3_COMBS 105
+int failure_combs_14_3[NUM_14_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {12, 13, -1, -1}} ;
+#define NUM_14_4_COMBS 469
+int failure_combs_14_4[NUM_14_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {12, 13, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 12, 13, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 5, 13, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 6, 13, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 7, 13, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 8, 13, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 9, 13, -1}, {1, 10, 11, -1}, {1, 10, 12, -1}, {1, 10, 13, -1}, {1, 11, 12, -1}, {1, 11, 13, -1}, {1, 12, 13, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 3, 12, -1}, {2, 3, 13, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 4, 12, -1}, {2, 4, 13, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 5, 12, -1}, {2, 5, 13, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 6, 12, -1}, {2, 6, 13, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 7, 12, -1}, {2, 7, 13, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 8, 12, -1}, {2, 8, 13, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 9, 12, -1}, {2, 9, 13, -1}, {2, 10, 11, -1}, {2, 10, 12, -1}, {2, 10, 13, -1}, {2, 11, 12, -1}, {2, 11, 13, -1}, {2, 12, 13, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 4, 12, -1}, {3, 4, 13, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 5, 12, -1}, {3, 5, 13, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 6, 12, -1}, {3, 6, 13, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 7, 12, -1}, {3, 7, 13, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 8, 12, -1}, {3, 8, 13, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 9, 12, -1}, {3, 9, 13, -1}, {3, 10, 11, -1}, {3, 10, 12, -1}, {3, 10, 13, -1}, {3, 11, 12, -1}, {3, 11, 13, -1}, {3, 12, 13, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 5, 12, -1}, {4, 5, 13, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 6, 12, -1}, {4, 6, 13, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 7, 12, -1}, {4, 7, 13, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 8, 12, -1}, {4, 8, 13, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 9, 12, -1}, {4, 9, 13, -1}, {4, 10, 11, -1}, {4, 10, 12, -1}, {4, 10, 13, -1}, {4, 11, 12, -1}, {4, 11, 13, -1}, {4, 12, 13, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 6, 12, -1}, {5, 6, 13, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 7, 12, -1}, {5, 7, 13, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 8, 12, -1}, {5, 8, 13, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 9, 12, -1}, {5, 9, 13, -1}, {5, 10, 11, -1}, {5, 10, 12, -1}, {5, 10, 13, -1}, {5, 11, 12, -1}, {5, 11, 13, -1}, {5, 12, 13, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 7, 12, -1}, {6, 7, 13, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 8, 12, -1}, {6, 8, 13, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 9, 13, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 10, 13, -1}, {6, 11, 12, -1}, {6, 11, 13, -1}, {6, 12, 13, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 12, 13, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 12, 13, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 12, 13, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 12, 13, -1}, {11, 12, 13, -1}} ;
+#define NUM_15_3_COMBS 120
+int failure_combs_15_3[NUM_15_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {13, 14, -1, -1}} ;
+#define NUM_15_4_COMBS 575
+int failure_combs_15_4[NUM_15_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {13, 14, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 7, 14, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 8, 14, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 9, 14, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 10, 14, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 11, 14, -1}, {0, 12, 13, -1}, {0, 12, 14, -1}, {0, 13, 14, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 2, 14, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 3, 14, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 4, 14, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 5, 13, -1}, {1, 5, 14, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 6, 13, -1}, {1, 6, 14, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 7, 13, -1}, {1, 7, 14, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 8, 13, -1}, {1, 8, 14, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 9, 13, -1}, {1, 9, 14, -1}, {1, 10, 11, -1}, {1, 10, 12, -1}, {1, 10, 13, -1}, {1, 10, 14, -1}, {1, 11, 12, -1}, {1, 11, 13, -1}, {1, 11, 14, -1}, {1, 12, 13, -1}, {1, 12, 14, -1}, {1, 13, 14, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 3, 12, -1}, {2, 3, 13, -1}, {2, 3, 14, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 4, 12, -1}, {2, 4, 13, -1}, {2, 4, 14, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 5, 12, -1}, {2, 5, 13, -1}, {2, 5, 14, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 6, 12, -1}, {2, 6, 13, -1}, {2, 6, 14, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 7, 12, -1}, {2, 7, 13, -1}, {2, 7, 14, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 8, 12, -1}, {2, 8, 13, -1}, {2, 8, 14, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 9, 12, -1}, {2, 9, 13, -1}, {2, 9, 14, -1}, {2, 10, 11, -1}, {2, 10, 12, -1}, {2, 10, 13, -1}, {2, 10, 14, -1}, {2, 11, 12, -1}, {2, 11, 13, -1}, {2, 11, 14, -1}, {2, 12, 13, -1}, {2, 12, 14, -1}, {2, 13, 14, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 4, 12, -1}, {3, 4, 13, -1}, {3, 4, 14, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 5, 12, -1}, {3, 5, 13, -1}, {3, 5, 14, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 6, 12, -1}, {3, 6, 13, -1}, {3, 6, 14, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 7, 12, -1}, {3, 7, 13, -1}, {3, 7, 14, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 8, 12, -1}, {3, 8, 13, -1}, {3, 8, 14, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 9, 12, -1}, {3, 9, 13, -1}, {3, 9, 14, -1}, {3, 10, 11, -1}, {3, 10, 12, -1}, {3, 10, 13, -1}, {3, 10, 14, -1}, {3, 11, 12, -1}, {3, 11, 13, -1}, {3, 11, 14, -1}, {3, 12, 13, -1}, {3, 12, 14, -1}, {3, 13, 14, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 5, 12, -1}, {4, 5, 13, -1}, {4, 5, 14, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 6, 12, -1}, {4, 6, 13, -1}, {4, 6, 14, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 7, 12, -1}, {4, 7, 13, -1}, {4, 7, 14, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 8, 12, -1}, {4, 8, 13, -1}, {4, 8, 14, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 9, 12, -1}, {4, 9, 13, -1}, {4, 9, 14, -1}, {4, 10, 11, -1}, {4, 10, 12, -1}, {4, 10, 13, -1}, {4, 10, 14, -1}, {4, 11, 12, -1}, {4, 11, 13, -1}, {4, 11, 14, -1}, {4, 12, 13, -1}, {4, 12, 14, -1}, {4, 13, 14, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 6, 12, -1}, {5, 6, 13, -1}, {5, 6, 14, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 7, 12, -1}, {5, 7, 13, -1}, {5, 7, 14, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 8, 12, -1}, {5, 8, 13, -1}, {5, 8, 14, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 9, 12, -1}, {5, 9, 13, -1}, {5, 9, 14, -1}, {5, 10, 11, -1}, {5, 10, 12, -1}, {5, 10, 13, -1}, {5, 10, 14, -1}, {5, 11, 12, -1}, {5, 11, 13, -1}, {5, 11, 14, -1}, {5, 12, 13, -1}, {5, 12, 14, -1}, {5, 13, 14, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 7, 12, -1}, {6, 7, 13, -1}, {6, 7, 14, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 8, 12, -1}, {6, 8, 13, -1}, {6, 8, 14, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 9, 13, -1}, {6, 9, 14, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 10, 13, -1}, {6, 10, 14, -1}, {6, 11, 12, -1}, {6, 11, 13, -1}, {6, 11, 14, -1}, {6, 12, 13, -1}, {6, 12, 14, -1}, {6, 13, 14, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 8, 14, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 9, 14, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 10, 14, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 11, 14, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 13, 14, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 13, 14, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 13, 14, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 13, 14, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 13, 14, -1}, {12, 13, 14, -1}} ;
+#define NUM_16_3_COMBS 136
+int failure_combs_16_3[NUM_16_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {14, 15, -1, -1}} ;
+#define NUM_16_4_COMBS 696
+int failure_combs_16_4[NUM_16_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {14, 15, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 5, 15, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 6, 15, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 7, 14, -1}, {0, 7, 15, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 8, 14, -1}, {0, 8, 15, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 9, 14, -1}, {0, 9, 15, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 10, 14, -1}, {0, 10, 15, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 11, 14, -1}, {0, 11, 15, -1}, {0, 12, 13, -1}, {0, 12, 14, -1}, {0, 12, 15, -1}, {0, 13, 14, -1}, {0, 13, 15, -1}, {0, 14, 15, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 2, 14, -1}, {1, 2, 15, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 3, 14, -1}, {1, 3, 15, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 4, 14, -1}, {1, 4, 15, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 5, 13, -1}, {1, 5, 14, -1}, {1, 5, 15, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 6, 13, -1}, {1, 6, 14, -1}, {1, 6, 15, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 7, 13, -1}, {1, 7, 14, -1}, {1, 7, 15, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 8, 13, -1}, {1, 8, 14, -1}, {1, 8, 15, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 9, 13, -1}, {1, 9, 14, -1}, {1, 9, 15, -1}, {1, 10, 11, -1}, {1, 10, 12, -1}, {1, 10, 13, -1}, {1, 10, 14, -1}, {1, 10, 15, -1}, {1, 11, 12, -1}, {1, 11, 13, -1}, {1, 11, 14, -1}, {1, 11, 15, -1}, {1, 12, 13, -1}, {1, 12, 14, -1}, {1, 12, 15, -1}, {1, 13, 14, -1}, {1, 13, 15, -1}, {1, 14, 15, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 3, 12, -1}, {2, 3, 13, -1}, {2, 3, 14, -1}, {2, 3, 15, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 4, 12, -1}, {2, 4, 13, -1}, {2, 4, 14, -1}, {2, 4, 15, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 5, 12, -1}, {2, 5, 13, -1}, {2, 5, 14, -1}, {2, 5, 15, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 6, 12, -1}, {2, 6, 13, -1}, {2, 6, 14, -1}, {2, 6, 15, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 7, 12, -1}, {2, 7, 13, -1}, {2, 7, 14, -1}, {2, 7, 15, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 8, 12, -1}, {2, 8, 13, -1}, {2, 8, 14, -1}, {2, 8, 15, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 9, 12, -1}, {2, 9, 13, -1}, {2, 9, 14, -1}, {2, 9, 15, -1}, {2, 10, 11, -1}, {2, 10, 12, -1}, {2, 10, 13, -1}, {2, 10, 14, -1}, {2, 10, 15, -1}, {2, 11, 12, -1}, {2, 11, 13, -1}, {2, 11, 14, -1}, {2, 11, 15, -1}, {2, 12, 13, -1}, {2, 12, 14, -1}, {2, 12, 15, -1}, {2, 13, 14, -1}, {2, 13, 15, -1}, {2, 14, 15, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 4, 12, -1}, {3, 4, 13, -1}, {3, 4, 14, -1}, {3, 4, 15, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 5, 12, -1}, {3, 5, 13, -1}, {3, 5, 14, -1}, {3, 5, 15, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 6, 12, -1}, {3, 6, 13, -1}, {3, 6, 14, -1}, {3, 6, 15, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 7, 12, -1}, {3, 7, 13, -1}, {3, 7, 14, -1}, {3, 7, 15, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 8, 12, -1}, {3, 8, 13, -1}, {3, 8, 14, -1}, {3, 8, 15, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 9, 12, -1}, {3, 9, 13, -1}, {3, 9, 14, -1}, {3, 9, 15, -1}, {3, 10, 11, -1}, {3, 10, 12, -1}, {3, 10, 13, -1}, {3, 10, 14, -1}, {3, 10, 15, -1}, {3, 11, 12, -1}, {3, 11, 13, -1}, {3, 11, 14, -1}, {3, 11, 15, -1}, {3, 12, 13, -1}, {3, 12, 14, -1}, {3, 12, 15, -1}, {3, 13, 14, -1}, {3, 13, 15, -1}, {3, 14, 15, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 5, 12, -1}, {4, 5, 13, -1}, {4, 5, 14, -1}, {4, 5, 15, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 6, 12, -1}, {4, 6, 13, -1}, {4, 6, 14, -1}, {4, 6, 15, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 7, 12, -1}, {4, 7, 13, -1}, {4, 7, 14, -1}, {4, 7, 15, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 8, 12, -1}, {4, 8, 13, -1}, {4, 8, 14, -1}, {4, 8, 15, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 9, 12, -1}, {4, 9, 13, -1}, {4, 9, 14, -1}, {4, 9, 15, -1}, {4, 10, 11, -1}, {4, 10, 12, -1}, {4, 10, 13, -1}, {4, 10, 14, -1}, {4, 10, 15, -1}, {4, 11, 12, -1}, {4, 11, 13, -1}, {4, 11, 14, -1}, {4, 11, 15, -1}, {4, 12, 13, -1}, {4, 12, 14, -1}, {4, 12, 15, -1}, {4, 13, 14, -1}, {4, 13, 15, -1}, {4, 14, 15, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 6, 12, -1}, {5, 6, 13, -1}, {5, 6, 14, -1}, {5, 6, 15, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 7, 12, -1}, {5, 7, 13, -1}, {5, 7, 14, -1}, {5, 7, 15, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 8, 12, -1}, {5, 8, 13, -1}, {5, 8, 14, -1}, {5, 8, 15, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 9, 12, -1}, {5, 9, 13, -1}, {5, 9, 14, -1}, {5, 9, 15, -1}, {5, 10, 11, -1}, {5, 10, 12, -1}, {5, 10, 13, -1}, {5, 10, 14, -1}, {5, 10, 15, -1}, {5, 11, 12, -1}, {5, 11, 13, -1}, {5, 11, 14, -1}, {5, 11, 15, -1}, {5, 12, 13, -1}, {5, 12, 14, -1}, {5, 12, 15, -1}, {5, 13, 14, -1}, {5, 13, 15, -1}, {5, 14, 15, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 7, 12, -1}, {6, 7, 13, -1}, {6, 7, 14, -1}, {6, 7, 15, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 8, 12, -1}, {6, 8, 13, -1}, {6, 8, 14, -1}, {6, 8, 15, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 9, 13, -1}, {6, 9, 14, -1}, {6, 9, 15, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 10, 13, -1}, {6, 10, 14, -1}, {6, 10, 15, -1}, {6, 11, 12, -1}, {6, 11, 13, -1}, {6, 11, 14, -1}, {6, 11, 15, -1}, {6, 12, 13, -1}, {6, 12, 14, -1}, {6, 12, 15, -1}, {6, 13, 14, -1}, {6, 13, 15, -1}, {6, 14, 15, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 8, 14, -1}, {7, 8, 15, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 9, 14, -1}, {7, 9, 15, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 10, 14, -1}, {7, 10, 15, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 11, 14, -1}, {7, 11, 15, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 12, 15, -1}, {7, 13, 14, -1}, {7, 13, 15, -1}, {7, 14, 15, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 9, 15, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 10, 15, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 11, 15, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 12, 15, -1}, {8, 13, 14, -1}, {8, 13, 15, -1}, {8, 14, 15, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 10, 15, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 14, 15, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 14, 15, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 14, 15, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 14, 15, -1}, {13, 14, 15, -1}} ;
+#define NUM_17_3_COMBS 153
+int failure_combs_17_3[NUM_17_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {15, 16, -1, -1}} ;
+#define NUM_17_4_COMBS 833
+int failure_combs_17_4[NUM_17_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {15, 16, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 3, 16, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 4, 16, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 5, 15, -1}, {0, 5, 16, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 6, 15, -1}, {0, 6, 16, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 7, 14, -1}, {0, 7, 15, -1}, {0, 7, 16, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 8, 14, -1}, {0, 8, 15, -1}, {0, 8, 16, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 9, 14, -1}, {0, 9, 15, -1}, {0, 9, 16, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 10, 14, -1}, {0, 10, 15, -1}, {0, 10, 16, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 11, 14, -1}, {0, 11, 15, -1}, {0, 11, 16, -1}, {0, 12, 13, -1}, {0, 12, 14, -1}, {0, 12, 15, -1}, {0, 12, 16, -1}, {0, 13, 14, -1}, {0, 13, 15, -1}, {0, 13, 16, -1}, {0, 14, 15, -1}, {0, 14, 16, -1}, {0, 15, 16, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 2, 14, -1}, {1, 2, 15, -1}, {1, 2, 16, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 3, 14, -1}, {1, 3, 15, -1}, {1, 3, 16, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 4, 14, -1}, {1, 4, 15, -1}, {1, 4, 16, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 5, 13, -1}, {1, 5, 14, -1}, {1, 5, 15, -1}, {1, 5, 16, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 6, 13, -1}, {1, 6, 14, -1}, {1, 6, 15, -1}, {1, 6, 16, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 7, 13, -1}, {1, 7, 14, -1}, {1, 7, 15, -1}, {1, 7, 16, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 8, 13, -1}, {1, 8, 14, -1}, {1, 8, 15, -1}, {1, 8, 16, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 9, 13, -1}, {1, 9, 14, -1}, {1, 9, 15, -1}, {1, 9, 16, -1}, {1, 10, 11, -1}, {1, 10, 12, -1}, {1, 10, 13, -1}, {1, 10, 14, -1}, {1, 10, 15, -1}, {1, 10, 16, -1}, {1, 11, 12, -1}, {1, 11, 13, -1}, {1, 11, 14, -1}, {1, 11, 15, -1}, {1, 11, 16, -1}, {1, 12, 13, -1}, {1, 12, 14, -1}, {1, 12, 15, -1}, {1, 12, 16, -1}, {1, 13, 14, -1}, {1, 13, 15, -1}, {1, 13, 16, -1}, {1, 14, 15, -1}, {1, 14, 16, -1}, {1, 15, 16, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 3, 12, -1}, {2, 3, 13, -1}, {2, 3, 14, -1}, {2, 3, 15, -1}, {2, 3, 16, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 4, 12, -1}, {2, 4, 13, -1}, {2, 4, 14, -1}, {2, 4, 15, -1}, {2, 4, 16, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 5, 12, -1}, {2, 5, 13, -1}, {2, 5, 14, -1}, {2, 5, 15, -1}, {2, 5, 16, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 6, 12, -1}, {2, 6, 13, -1}, {2, 6, 14, -1}, {2, 6, 15, -1}, {2, 6, 16, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 7, 12, -1}, {2, 7, 13, -1}, {2, 7, 14, -1}, {2, 7, 15, -1}, {2, 7, 16, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 8, 12, -1}, {2, 8, 13, -1}, {2, 8, 14, -1}, {2, 8, 15, -1}, {2, 8, 16, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 9, 12, -1}, {2, 9, 13, -1}, {2, 9, 14, -1}, {2, 9, 15, -1}, {2, 9, 16, -1}, {2, 10, 11, -1}, {2, 10, 12, -1}, {2, 10, 13, -1}, {2, 10, 14, -1}, {2, 10, 15, -1}, {2, 10, 16, -1}, {2, 11, 12, -1}, {2, 11, 13, -1}, {2, 11, 14, -1}, {2, 11, 15, -1}, {2, 11, 16, -1}, {2, 12, 13, -1}, {2, 12, 14, -1}, {2, 12, 15, -1}, {2, 12, 16, -1}, {2, 13, 14, -1}, {2, 13, 15, -1}, {2, 13, 16, -1}, {2, 14, 15, -1}, {2, 14, 16, -1}, {2, 15, 16, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 4, 12, -1}, {3, 4, 13, -1}, {3, 4, 14, -1}, {3, 4, 15, -1}, {3, 4, 16, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 5, 12, -1}, {3, 5, 13, -1}, {3, 5, 14, -1}, {3, 5, 15, -1}, {3, 5, 16, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 6, 12, -1}, {3, 6, 13, -1}, {3, 6, 14, -1}, {3, 6, 15, -1}, {3, 6, 16, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 7, 12, -1}, {3, 7, 13, -1}, {3, 7, 14, -1}, {3, 7, 15, -1}, {3, 7, 16, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 8, 12, -1}, {3, 8, 13, -1}, {3, 8, 14, -1}, {3, 8, 15, -1}, {3, 8, 16, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 9, 12, -1}, {3, 9, 13, -1}, {3, 9, 14, -1}, {3, 9, 15, -1}, {3, 9, 16, -1}, {3, 10, 11, -1}, {3, 10, 12, -1}, {3, 10, 13, -1}, {3, 10, 14, -1}, {3, 10, 15, -1}, {3, 10, 16, -1}, {3, 11, 12, -1}, {3, 11, 13, -1}, {3, 11, 14, -1}, {3, 11, 15, -1}, {3, 11, 16, -1}, {3, 12, 13, -1}, {3, 12, 14, -1}, {3, 12, 15, -1}, {3, 12, 16, -1}, {3, 13, 14, -1}, {3, 13, 15, -1}, {3, 13, 16, -1}, {3, 14, 15, -1}, {3, 14, 16, -1}, {3, 15, 16, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 5, 12, -1}, {4, 5, 13, -1}, {4, 5, 14, -1}, {4, 5, 15, -1}, {4, 5, 16, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 6, 12, -1}, {4, 6, 13, -1}, {4, 6, 14, -1}, {4, 6, 15, -1}, {4, 6, 16, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 7, 12, -1}, {4, 7, 13, -1}, {4, 7, 14, -1}, {4, 7, 15, -1}, {4, 7, 16, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 8, 12, -1}, {4, 8, 13, -1}, {4, 8, 14, -1}, {4, 8, 15, -1}, {4, 8, 16, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 9, 12, -1}, {4, 9, 13, -1}, {4, 9, 14, -1}, {4, 9, 15, -1}, {4, 9, 16, -1}, {4, 10, 11, -1}, {4, 10, 12, -1}, {4, 10, 13, -1}, {4, 10, 14, -1}, {4, 10, 15, -1}, {4, 10, 16, -1}, {4, 11, 12, -1}, {4, 11, 13, -1}, {4, 11, 14, -1}, {4, 11, 15, -1}, {4, 11, 16, -1}, {4, 12, 13, -1}, {4, 12, 14, -1}, {4, 12, 15, -1}, {4, 12, 16, -1}, {4, 13, 14, -1}, {4, 13, 15, -1}, {4, 13, 16, -1}, {4, 14, 15, -1}, {4, 14, 16, -1}, {4, 15, 16, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 6, 12, -1}, {5, 6, 13, -1}, {5, 6, 14, -1}, {5, 6, 15, -1}, {5, 6, 16, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 7, 12, -1}, {5, 7, 13, -1}, {5, 7, 14, -1}, {5, 7, 15, -1}, {5, 7, 16, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 8, 12, -1}, {5, 8, 13, -1}, {5, 8, 14, -1}, {5, 8, 15, -1}, {5, 8, 16, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 9, 12, -1}, {5, 9, 13, -1}, {5, 9, 14, -1}, {5, 9, 15, -1}, {5, 9, 16, -1}, {5, 10, 11, -1}, {5, 10, 12, -1}, {5, 10, 13, -1}, {5, 10, 14, -1}, {5, 10, 15, -1}, {5, 10, 16, -1}, {5, 11, 12, -1}, {5, 11, 13, -1}, {5, 11, 14, -1}, {5, 11, 15, -1}, {5, 11, 16, -1}, {5, 12, 13, -1}, {5, 12, 14, -1}, {5, 12, 15, -1}, {5, 12, 16, -1}, {5, 13, 14, -1}, {5, 13, 15, -1}, {5, 13, 16, -1}, {5, 14, 15, -1}, {5, 14, 16, -1}, {5, 15, 16, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 7, 12, -1}, {6, 7, 13, -1}, {6, 7, 14, -1}, {6, 7, 15, -1}, {6, 7, 16, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 8, 12, -1}, {6, 8, 13, -1}, {6, 8, 14, -1}, {6, 8, 15, -1}, {6, 8, 16, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 9, 13, -1}, {6, 9, 14, -1}, {6, 9, 15, -1}, {6, 9, 16, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 10, 13, -1}, {6, 10, 14, -1}, {6, 10, 15, -1}, {6, 10, 16, -1}, {6, 11, 12, -1}, {6, 11, 13, -1}, {6, 11, 14, -1}, {6, 11, 15, -1}, {6, 11, 16, -1}, {6, 12, 13, -1}, {6, 12, 14, -1}, {6, 12, 15, -1}, {6, 12, 16, -1}, {6, 13, 14, -1}, {6, 13, 15, -1}, {6, 13, 16, -1}, {6, 14, 15, -1}, {6, 14, 16, -1}, {6, 15, 16, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 8, 14, -1}, {7, 8, 15, -1}, {7, 8, 16, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 9, 14, -1}, {7, 9, 15, -1}, {7, 9, 16, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 10, 14, -1}, {7, 10, 15, -1}, {7, 10, 16, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 11, 14, -1}, {7, 11, 15, -1}, {7, 11, 16, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 12, 15, -1}, {7, 12, 16, -1}, {7, 13, 14, -1}, {7, 13, 15, -1}, {7, 13, 16, -1}, {7, 14, 15, -1}, {7, 14, 16, -1}, {7, 15, 16, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 9, 15, -1}, {8, 9, 16, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 10, 15, -1}, {8, 10, 16, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 11, 15, -1}, {8, 11, 16, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 12, 15, -1}, {8, 12, 16, -1}, {8, 13, 14, -1}, {8, 13, 15, -1}, {8, 13, 16, -1}, {8, 14, 15, -1}, {8, 14, 16, -1}, {8, 15, 16, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 10, 15, -1}, {9, 10, 16, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 11, 16, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 12, 16, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 13, 16, -1}, {9, 14, 15, -1}, {9, 14, 16, -1}, {9, 15, 16, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 15, 16, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 15, 16, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 15, 16, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 15, 16, -1}, {14, 15, 16, -1}} ;
+#define NUM_18_3_COMBS 171
+int failure_combs_18_3[NUM_18_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {16, 17, -1, -1}} ;
+#define NUM_18_4_COMBS 987
+int failure_combs_18_4[NUM_18_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {16, 17, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 1, 17, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 2, 17, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 3, 16, -1}, {0, 3, 17, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 4, 16, -1}, {0, 4, 17, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 5, 15, -1}, {0, 5, 16, -1}, {0, 5, 17, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 6, 15, -1}, {0, 6, 16, -1}, {0, 6, 17, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 7, 14, -1}, {0, 7, 15, -1}, {0, 7, 16, -1}, {0, 7, 17, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 8, 14, -1}, {0, 8, 15, -1}, {0, 8, 16, -1}, {0, 8, 17, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 9, 14, -1}, {0, 9, 15, -1}, {0, 9, 16, -1}, {0, 9, 17, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 10, 14, -1}, {0, 10, 15, -1}, {0, 10, 16, -1}, {0, 10, 17, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 11, 14, -1}, {0, 11, 15, -1}, {0, 11, 16, -1}, {0, 11, 17, -1}, {0, 12, 13, -1}, {0, 12, 14, -1}, {0, 12, 15, -1}, {0, 12, 16, -1}, {0, 12, 17, -1}, {0, 13, 14, -1}, {0, 13, 15, -1}, {0, 13, 16, -1}, {0, 13, 17, -1}, {0, 14, 15, -1}, {0, 14, 16, -1}, {0, 14, 17, -1}, {0, 15, 16, -1}, {0, 15, 17, -1}, {0, 16, 17, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 2, 14, -1}, {1, 2, 15, -1}, {1, 2, 16, -1}, {1, 2, 17, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 3, 14, -1}, {1, 3, 15, -1}, {1, 3, 16, -1}, {1, 3, 17, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 4, 14, -1}, {1, 4, 15, -1}, {1, 4, 16, -1}, {1, 4, 17, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 5, 13, -1}, {1, 5, 14, -1}, {1, 5, 15, -1}, {1, 5, 16, -1}, {1, 5, 17, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 6, 13, -1}, {1, 6, 14, -1}, {1, 6, 15, -1}, {1, 6, 16, -1}, {1, 6, 17, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 7, 13, -1}, {1, 7, 14, -1}, {1, 7, 15, -1}, {1, 7, 16, -1}, {1, 7, 17, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 8, 13, -1}, {1, 8, 14, -1}, {1, 8, 15, -1}, {1, 8, 16, -1}, {1, 8, 17, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 9, 13, -1}, {1, 9, 14, -1}, {1, 9, 15, -1}, {1, 9, 16, -1}, {1, 9, 17, -1}, {1, 10, 11, -1}, {1, 10, 12, -1}, {1, 10, 13, -1}, {1, 10, 14, -1}, {1, 10, 15, -1}, {1, 10, 16, -1}, {1, 10, 17, -1}, {1, 11, 12, -1}, {1, 11, 13, -1}, {1, 11, 14, -1}, {1, 11, 15, -1}, {1, 11, 16, -1}, {1, 11, 17, -1}, {1, 12, 13, -1}, {1, 12, 14, -1}, {1, 12, 15, -1}, {1, 12, 16, -1}, {1, 12, 17, -1}, {1, 13, 14, -1}, {1, 13, 15, -1}, {1, 13, 16, -1}, {1, 13, 17, -1}, {1, 14, 15, -1}, {1, 14, 16, -1}, {1, 14, 17, -1}, {1, 15, 16, -1}, {1, 15, 17, -1}, {1, 16, 17, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 3, 12, -1}, {2, 3, 13, -1}, {2, 3, 14, -1}, {2, 3, 15, -1}, {2, 3, 16, -1}, {2, 3, 17, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 4, 12, -1}, {2, 4, 13, -1}, {2, 4, 14, -1}, {2, 4, 15, -1}, {2, 4, 16, -1}, {2, 4, 17, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 5, 12, -1}, {2, 5, 13, -1}, {2, 5, 14, -1}, {2, 5, 15, -1}, {2, 5, 16, -1}, {2, 5, 17, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 6, 12, -1}, {2, 6, 13, -1}, {2, 6, 14, -1}, {2, 6, 15, -1}, {2, 6, 16, -1}, {2, 6, 17, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 7, 12, -1}, {2, 7, 13, -1}, {2, 7, 14, -1}, {2, 7, 15, -1}, {2, 7, 16, -1}, {2, 7, 17, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 8, 12, -1}, {2, 8, 13, -1}, {2, 8, 14, -1}, {2, 8, 15, -1}, {2, 8, 16, -1}, {2, 8, 17, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 9, 12, -1}, {2, 9, 13, -1}, {2, 9, 14, -1}, {2, 9, 15, -1}, {2, 9, 16, -1}, {2, 9, 17, -1}, {2, 10, 11, -1}, {2, 10, 12, -1}, {2, 10, 13, -1}, {2, 10, 14, -1}, {2, 10, 15, -1}, {2, 10, 16, -1}, {2, 10, 17, -1}, {2, 11, 12, -1}, {2, 11, 13, -1}, {2, 11, 14, -1}, {2, 11, 15, -1}, {2, 11, 16, -1}, {2, 11, 17, -1}, {2, 12, 13, -1}, {2, 12, 14, -1}, {2, 12, 15, -1}, {2, 12, 16, -1}, {2, 12, 17, -1}, {2, 13, 14, -1}, {2, 13, 15, -1}, {2, 13, 16, -1}, {2, 13, 17, -1}, {2, 14, 15, -1}, {2, 14, 16, -1}, {2, 14, 17, -1}, {2, 15, 16, -1}, {2, 15, 17, -1}, {2, 16, 17, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 4, 12, -1}, {3, 4, 13, -1}, {3, 4, 14, -1}, {3, 4, 15, -1}, {3, 4, 16, -1}, {3, 4, 17, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 5, 12, -1}, {3, 5, 13, -1}, {3, 5, 14, -1}, {3, 5, 15, -1}, {3, 5, 16, -1}, {3, 5, 17, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 6, 12, -1}, {3, 6, 13, -1}, {3, 6, 14, -1}, {3, 6, 15, -1}, {3, 6, 16, -1}, {3, 6, 17, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 7, 12, -1}, {3, 7, 13, -1}, {3, 7, 14, -1}, {3, 7, 15, -1}, {3, 7, 16, -1}, {3, 7, 17, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 8, 12, -1}, {3, 8, 13, -1}, {3, 8, 14, -1}, {3, 8, 15, -1}, {3, 8, 16, -1}, {3, 8, 17, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 9, 12, -1}, {3, 9, 13, -1}, {3, 9, 14, -1}, {3, 9, 15, -1}, {3, 9, 16, -1}, {3, 9, 17, -1}, {3, 10, 11, -1}, {3, 10, 12, -1}, {3, 10, 13, -1}, {3, 10, 14, -1}, {3, 10, 15, -1}, {3, 10, 16, -1}, {3, 10, 17, -1}, {3, 11, 12, -1}, {3, 11, 13, -1}, {3, 11, 14, -1}, {3, 11, 15, -1}, {3, 11, 16, -1}, {3, 11, 17, -1}, {3, 12, 13, -1}, {3, 12, 14, -1}, {3, 12, 15, -1}, {3, 12, 16, -1}, {3, 12, 17, -1}, {3, 13, 14, -1}, {3, 13, 15, -1}, {3, 13, 16, -1}, {3, 13, 17, -1}, {3, 14, 15, -1}, {3, 14, 16, -1}, {3, 14, 17, -1}, {3, 15, 16, -1}, {3, 15, 17, -1}, {3, 16, 17, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 5, 12, -1}, {4, 5, 13, -1}, {4, 5, 14, -1}, {4, 5, 15, -1}, {4, 5, 16, -1}, {4, 5, 17, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 6, 12, -1}, {4, 6, 13, -1}, {4, 6, 14, -1}, {4, 6, 15, -1}, {4, 6, 16, -1}, {4, 6, 17, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 7, 12, -1}, {4, 7, 13, -1}, {4, 7, 14, -1}, {4, 7, 15, -1}, {4, 7, 16, -1}, {4, 7, 17, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 8, 12, -1}, {4, 8, 13, -1}, {4, 8, 14, -1}, {4, 8, 15, -1}, {4, 8, 16, -1}, {4, 8, 17, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 9, 12, -1}, {4, 9, 13, -1}, {4, 9, 14, -1}, {4, 9, 15, -1}, {4, 9, 16, -1}, {4, 9, 17, -1}, {4, 10, 11, -1}, {4, 10, 12, -1}, {4, 10, 13, -1}, {4, 10, 14, -1}, {4, 10, 15, -1}, {4, 10, 16, -1}, {4, 10, 17, -1}, {4, 11, 12, -1}, {4, 11, 13, -1}, {4, 11, 14, -1}, {4, 11, 15, -1}, {4, 11, 16, -1}, {4, 11, 17, -1}, {4, 12, 13, -1}, {4, 12, 14, -1}, {4, 12, 15, -1}, {4, 12, 16, -1}, {4, 12, 17, -1}, {4, 13, 14, -1}, {4, 13, 15, -1}, {4, 13, 16, -1}, {4, 13, 17, -1}, {4, 14, 15, -1}, {4, 14, 16, -1}, {4, 14, 17, -1}, {4, 15, 16, -1}, {4, 15, 17, -1}, {4, 16, 17, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 6, 12, -1}, {5, 6, 13, -1}, {5, 6, 14, -1}, {5, 6, 15, -1}, {5, 6, 16, -1}, {5, 6, 17, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 7, 12, -1}, {5, 7, 13, -1}, {5, 7, 14, -1}, {5, 7, 15, -1}, {5, 7, 16, -1}, {5, 7, 17, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 8, 12, -1}, {5, 8, 13, -1}, {5, 8, 14, -1}, {5, 8, 15, -1}, {5, 8, 16, -1}, {5, 8, 17, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 9, 12, -1}, {5, 9, 13, -1}, {5, 9, 14, -1}, {5, 9, 15, -1}, {5, 9, 16, -1}, {5, 9, 17, -1}, {5, 10, 11, -1}, {5, 10, 12, -1}, {5, 10, 13, -1}, {5, 10, 14, -1}, {5, 10, 15, -1}, {5, 10, 16, -1}, {5, 10, 17, -1}, {5, 11, 12, -1}, {5, 11, 13, -1}, {5, 11, 14, -1}, {5, 11, 15, -1}, {5, 11, 16, -1}, {5, 11, 17, -1}, {5, 12, 13, -1}, {5, 12, 14, -1}, {5, 12, 15, -1}, {5, 12, 16, -1}, {5, 12, 17, -1}, {5, 13, 14, -1}, {5, 13, 15, -1}, {5, 13, 16, -1}, {5, 13, 17, -1}, {5, 14, 15, -1}, {5, 14, 16, -1}, {5, 14, 17, -1}, {5, 15, 16, -1}, {5, 15, 17, -1}, {5, 16, 17, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 7, 12, -1}, {6, 7, 13, -1}, {6, 7, 14, -1}, {6, 7, 15, -1}, {6, 7, 16, -1}, {6, 7, 17, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 8, 12, -1}, {6, 8, 13, -1}, {6, 8, 14, -1}, {6, 8, 15, -1}, {6, 8, 16, -1}, {6, 8, 17, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 9, 13, -1}, {6, 9, 14, -1}, {6, 9, 15, -1}, {6, 9, 16, -1}, {6, 9, 17, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 10, 13, -1}, {6, 10, 14, -1}, {6, 10, 15, -1}, {6, 10, 16, -1}, {6, 10, 17, -1}, {6, 11, 12, -1}, {6, 11, 13, -1}, {6, 11, 14, -1}, {6, 11, 15, -1}, {6, 11, 16, -1}, {6, 11, 17, -1}, {6, 12, 13, -1}, {6, 12, 14, -1}, {6, 12, 15, -1}, {6, 12, 16, -1}, {6, 12, 17, -1}, {6, 13, 14, -1}, {6, 13, 15, -1}, {6, 13, 16, -1}, {6, 13, 17, -1}, {6, 14, 15, -1}, {6, 14, 16, -1}, {6, 14, 17, -1}, {6, 15, 16, -1}, {6, 15, 17, -1}, {6, 16, 17, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 8, 14, -1}, {7, 8, 15, -1}, {7, 8, 16, -1}, {7, 8, 17, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 9, 14, -1}, {7, 9, 15, -1}, {7, 9, 16, -1}, {7, 9, 17, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 10, 14, -1}, {7, 10, 15, -1}, {7, 10, 16, -1}, {7, 10, 17, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 11, 14, -1}, {7, 11, 15, -1}, {7, 11, 16, -1}, {7, 11, 17, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 12, 15, -1}, {7, 12, 16, -1}, {7, 12, 17, -1}, {7, 13, 14, -1}, {7, 13, 15, -1}, {7, 13, 16, -1}, {7, 13, 17, -1}, {7, 14, 15, -1}, {7, 14, 16, -1}, {7, 14, 17, -1}, {7, 15, 16, -1}, {7, 15, 17, -1}, {7, 16, 17, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 9, 15, -1}, {8, 9, 16, -1}, {8, 9, 17, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 10, 15, -1}, {8, 10, 16, -1}, {8, 10, 17, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 11, 15, -1}, {8, 11, 16, -1}, {8, 11, 17, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 12, 15, -1}, {8, 12, 16, -1}, {8, 12, 17, -1}, {8, 13, 14, -1}, {8, 13, 15, -1}, {8, 13, 16, -1}, {8, 13, 17, -1}, {8, 14, 15, -1}, {8, 14, 16, -1}, {8, 14, 17, -1}, {8, 15, 16, -1}, {8, 15, 17, -1}, {8, 16, 17, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 10, 15, -1}, {9, 10, 16, -1}, {9, 10, 17, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 11, 16, -1}, {9, 11, 17, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 12, 16, -1}, {9, 12, 17, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 13, 16, -1}, {9, 13, 17, -1}, {9, 14, 15, -1}, {9, 14, 16, -1}, {9, 14, 17, -1}, {9, 15, 16, -1}, {9, 15, 17, -1}, {9, 16, 17, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 11, 17, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 12, 17, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 13, 17, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 14, 17, -1}, {10, 15, 16, -1}, {10, 15, 17, -1}, {10, 16, 17, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 12, 17, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 13, 17, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 14, 17, -1}, {11, 15, 16, -1}, {11, 15, 17, -1}, {11, 16, 17, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 16, 17, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 16, 17, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 16, 17, -1}, {15, 16, 17, -1}} ;
+#define NUM_19_3_COMBS 190
+int failure_combs_19_3[NUM_19_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {17, 18, -1, -1}} ;
+#define NUM_19_4_COMBS 1159
+int failure_combs_19_4[NUM_19_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {17, 18, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 1, 17, -1}, {0, 1, 18, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 2, 17, -1}, {0, 2, 18, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 3, 16, -1}, {0, 3, 17, -1}, {0, 3, 18, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 4, 16, -1}, {0, 4, 17, -1}, {0, 4, 18, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 5, 15, -1}, {0, 5, 16, -1}, {0, 5, 17, -1}, {0, 5, 18, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 6, 15, -1}, {0, 6, 16, -1}, {0, 6, 17, -1}, {0, 6, 18, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 7, 14, -1}, {0, 7, 15, -1}, {0, 7, 16, -1}, {0, 7, 17, -1}, {0, 7, 18, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 8, 14, -1}, {0, 8, 15, -1}, {0, 8, 16, -1}, {0, 8, 17, -1}, {0, 8, 18, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 9, 14, -1}, {0, 9, 15, -1}, {0, 9, 16, -1}, {0, 9, 17, -1}, {0, 9, 18, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 10, 14, -1}, {0, 10, 15, -1}, {0, 10, 16, -1}, {0, 10, 17, -1}, {0, 10, 18, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 11, 14, -1}, {0, 11, 15, -1}, {0, 11, 16, -1}, {0, 11, 17, -1}, {0, 11, 18, -1}, {0, 12, 13, -1}, {0, 12, 14, -1}, {0, 12, 15, -1}, {0, 12, 16, -1}, {0, 12, 17, -1}, {0, 12, 18, -1}, {0, 13, 14, -1}, {0, 13, 15, -1}, {0, 13, 16, -1}, {0, 13, 17, -1}, {0, 13, 18, -1}, {0, 14, 15, -1}, {0, 14, 16, -1}, {0, 14, 17, -1}, {0, 14, 18, -1}, {0, 15, 16, -1}, {0, 15, 17, -1}, {0, 15, 18, -1}, {0, 16, 17, -1}, {0, 16, 18, -1}, {0, 17, 18, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 2, 14, -1}, {1, 2, 15, -1}, {1, 2, 16, -1}, {1, 2, 17, -1}, {1, 2, 18, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 3, 14, -1}, {1, 3, 15, -1}, {1, 3, 16, -1}, {1, 3, 17, -1}, {1, 3, 18, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 4, 14, -1}, {1, 4, 15, -1}, {1, 4, 16, -1}, {1, 4, 17, -1}, {1, 4, 18, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 5, 13, -1}, {1, 5, 14, -1}, {1, 5, 15, -1}, {1, 5, 16, -1}, {1, 5, 17, -1}, {1, 5, 18, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 6, 13, -1}, {1, 6, 14, -1}, {1, 6, 15, -1}, {1, 6, 16, -1}, {1, 6, 17, -1}, {1, 6, 18, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 7, 13, -1}, {1, 7, 14, -1}, {1, 7, 15, -1}, {1, 7, 16, -1}, {1, 7, 17, -1}, {1, 7, 18, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 8, 13, -1}, {1, 8, 14, -1}, {1, 8, 15, -1}, {1, 8, 16, -1}, {1, 8, 17, -1}, {1, 8, 18, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 9, 13, -1}, {1, 9, 14, -1}, {1, 9, 15, -1}, {1, 9, 16, -1}, {1, 9, 17, -1}, {1, 9, 18, -1}, {1, 10, 11, -1}, {1, 10, 12, -1}, {1, 10, 13, -1}, {1, 10, 14, -1}, {1, 10, 15, -1}, {1, 10, 16, -1}, {1, 10, 17, -1}, {1, 10, 18, -1}, {1, 11, 12, -1}, {1, 11, 13, -1}, {1, 11, 14, -1}, {1, 11, 15, -1}, {1, 11, 16, -1}, {1, 11, 17, -1}, {1, 11, 18, -1}, {1, 12, 13, -1}, {1, 12, 14, -1}, {1, 12, 15, -1}, {1, 12, 16, -1}, {1, 12, 17, -1}, {1, 12, 18, -1}, {1, 13, 14, -1}, {1, 13, 15, -1}, {1, 13, 16, -1}, {1, 13, 17, -1}, {1, 13, 18, -1}, {1, 14, 15, -1}, {1, 14, 16, -1}, {1, 14, 17, -1}, {1, 14, 18, -1}, {1, 15, 16, -1}, {1, 15, 17, -1}, {1, 15, 18, -1}, {1, 16, 17, -1}, {1, 16, 18, -1}, {1, 17, 18, -1}, {2, 3, 4, -1}, {2, 3, 5, -1}, {2, 3, 6, -1}, {2, 3, 7, -1}, {2, 3, 8, -1}, {2, 3, 9, -1}, {2, 3, 10, -1}, {2, 3, 11, -1}, {2, 3, 12, -1}, {2, 3, 13, -1}, {2, 3, 14, -1}, {2, 3, 15, -1}, {2, 3, 16, -1}, {2, 3, 17, -1}, {2, 3, 18, -1}, {2, 4, 5, -1}, {2, 4, 6, -1}, {2, 4, 7, -1}, {2, 4, 8, -1}, {2, 4, 9, -1}, {2, 4, 10, -1}, {2, 4, 11, -1}, {2, 4, 12, -1}, {2, 4, 13, -1}, {2, 4, 14, -1}, {2, 4, 15, -1}, {2, 4, 16, -1}, {2, 4, 17, -1}, {2, 4, 18, -1}, {2, 5, 6, -1}, {2, 5, 7, -1}, {2, 5, 8, -1}, {2, 5, 9, -1}, {2, 5, 10, -1}, {2, 5, 11, -1}, {2, 5, 12, -1}, {2, 5, 13, -1}, {2, 5, 14, -1}, {2, 5, 15, -1}, {2, 5, 16, -1}, {2, 5, 17, -1}, {2, 5, 18, -1}, {2, 6, 7, -1}, {2, 6, 8, -1}, {2, 6, 9, -1}, {2, 6, 10, -1}, {2, 6, 11, -1}, {2, 6, 12, -1}, {2, 6, 13, -1}, {2, 6, 14, -1}, {2, 6, 15, -1}, {2, 6, 16, -1}, {2, 6, 17, -1}, {2, 6, 18, -1}, {2, 7, 8, -1}, {2, 7, 9, -1}, {2, 7, 10, -1}, {2, 7, 11, -1}, {2, 7, 12, -1}, {2, 7, 13, -1}, {2, 7, 14, -1}, {2, 7, 15, -1}, {2, 7, 16, -1}, {2, 7, 17, -1}, {2, 7, 18, -1}, {2, 8, 9, -1}, {2, 8, 10, -1}, {2, 8, 11, -1}, {2, 8, 12, -1}, {2, 8, 13, -1}, {2, 8, 14, -1}, {2, 8, 15, -1}, {2, 8, 16, -1}, {2, 8, 17, -1}, {2, 8, 18, -1}, {2, 9, 10, -1}, {2, 9, 11, -1}, {2, 9, 12, -1}, {2, 9, 13, -1}, {2, 9, 14, -1}, {2, 9, 15, -1}, {2, 9, 16, -1}, {2, 9, 17, -1}, {2, 9, 18, -1}, {2, 10, 11, -1}, {2, 10, 12, -1}, {2, 10, 13, -1}, {2, 10, 14, -1}, {2, 10, 15, -1}, {2, 10, 16, -1}, {2, 10, 17, -1}, {2, 10, 18, -1}, {2, 11, 12, -1}, {2, 11, 13, -1}, {2, 11, 14, -1}, {2, 11, 15, -1}, {2, 11, 16, -1}, {2, 11, 17, -1}, {2, 11, 18, -1}, {2, 12, 13, -1}, {2, 12, 14, -1}, {2, 12, 15, -1}, {2, 12, 16, -1}, {2, 12, 17, -1}, {2, 12, 18, -1}, {2, 13, 14, -1}, {2, 13, 15, -1}, {2, 13, 16, -1}, {2, 13, 17, -1}, {2, 13, 18, -1}, {2, 14, 15, -1}, {2, 14, 16, -1}, {2, 14, 17, -1}, {2, 14, 18, -1}, {2, 15, 16, -1}, {2, 15, 17, -1}, {2, 15, 18, -1}, {2, 16, 17, -1}, {2, 16, 18, -1}, {2, 17, 18, -1}, {3, 4, 5, -1}, {3, 4, 6, -1}, {3, 4, 7, -1}, {3, 4, 8, -1}, {3, 4, 9, -1}, {3, 4, 10, -1}, {3, 4, 11, -1}, {3, 4, 12, -1}, {3, 4, 13, -1}, {3, 4, 14, -1}, {3, 4, 15, -1}, {3, 4, 16, -1}, {3, 4, 17, -1}, {3, 4, 18, -1}, {3, 5, 6, -1}, {3, 5, 7, -1}, {3, 5, 8, -1}, {3, 5, 9, -1}, {3, 5, 10, -1}, {3, 5, 11, -1}, {3, 5, 12, -1}, {3, 5, 13, -1}, {3, 5, 14, -1}, {3, 5, 15, -1}, {3, 5, 16, -1}, {3, 5, 17, -1}, {3, 5, 18, -1}, {3, 6, 7, -1}, {3, 6, 8, -1}, {3, 6, 9, -1}, {3, 6, 10, -1}, {3, 6, 11, -1}, {3, 6, 12, -1}, {3, 6, 13, -1}, {3, 6, 14, -1}, {3, 6, 15, -1}, {3, 6, 16, -1}, {3, 6, 17, -1}, {3, 6, 18, -1}, {3, 7, 8, -1}, {3, 7, 9, -1}, {3, 7, 10, -1}, {3, 7, 11, -1}, {3, 7, 12, -1}, {3, 7, 13, -1}, {3, 7, 14, -1}, {3, 7, 15, -1}, {3, 7, 16, -1}, {3, 7, 17, -1}, {3, 7, 18, -1}, {3, 8, 9, -1}, {3, 8, 10, -1}, {3, 8, 11, -1}, {3, 8, 12, -1}, {3, 8, 13, -1}, {3, 8, 14, -1}, {3, 8, 15, -1}, {3, 8, 16, -1}, {3, 8, 17, -1}, {3, 8, 18, -1}, {3, 9, 10, -1}, {3, 9, 11, -1}, {3, 9, 12, -1}, {3, 9, 13, -1}, {3, 9, 14, -1}, {3, 9, 15, -1}, {3, 9, 16, -1}, {3, 9, 17, -1}, {3, 9, 18, -1}, {3, 10, 11, -1}, {3, 10, 12, -1}, {3, 10, 13, -1}, {3, 10, 14, -1}, {3, 10, 15, -1}, {3, 10, 16, -1}, {3, 10, 17, -1}, {3, 10, 18, -1}, {3, 11, 12, -1}, {3, 11, 13, -1}, {3, 11, 14, -1}, {3, 11, 15, -1}, {3, 11, 16, -1}, {3, 11, 17, -1}, {3, 11, 18, -1}, {3, 12, 13, -1}, {3, 12, 14, -1}, {3, 12, 15, -1}, {3, 12, 16, -1}, {3, 12, 17, -1}, {3, 12, 18, -1}, {3, 13, 14, -1}, {3, 13, 15, -1}, {3, 13, 16, -1}, {3, 13, 17, -1}, {3, 13, 18, -1}, {3, 14, 15, -1}, {3, 14, 16, -1}, {3, 14, 17, -1}, {3, 14, 18, -1}, {3, 15, 16, -1}, {3, 15, 17, -1}, {3, 15, 18, -1}, {3, 16, 17, -1}, {3, 16, 18, -1}, {3, 17, 18, -1}, {4, 5, 6, -1}, {4, 5, 7, -1}, {4, 5, 8, -1}, {4, 5, 9, -1}, {4, 5, 10, -1}, {4, 5, 11, -1}, {4, 5, 12, -1}, {4, 5, 13, -1}, {4, 5, 14, -1}, {4, 5, 15, -1}, {4, 5, 16, -1}, {4, 5, 17, -1}, {4, 5, 18, -1}, {4, 6, 7, -1}, {4, 6, 8, -1}, {4, 6, 9, -1}, {4, 6, 10, -1}, {4, 6, 11, -1}, {4, 6, 12, -1}, {4, 6, 13, -1}, {4, 6, 14, -1}, {4, 6, 15, -1}, {4, 6, 16, -1}, {4, 6, 17, -1}, {4, 6, 18, -1}, {4, 7, 8, -1}, {4, 7, 9, -1}, {4, 7, 10, -1}, {4, 7, 11, -1}, {4, 7, 12, -1}, {4, 7, 13, -1}, {4, 7, 14, -1}, {4, 7, 15, -1}, {4, 7, 16, -1}, {4, 7, 17, -1}, {4, 7, 18, -1}, {4, 8, 9, -1}, {4, 8, 10, -1}, {4, 8, 11, -1}, {4, 8, 12, -1}, {4, 8, 13, -1}, {4, 8, 14, -1}, {4, 8, 15, -1}, {4, 8, 16, -1}, {4, 8, 17, -1}, {4, 8, 18, -1}, {4, 9, 10, -1}, {4, 9, 11, -1}, {4, 9, 12, -1}, {4, 9, 13, -1}, {4, 9, 14, -1}, {4, 9, 15, -1}, {4, 9, 16, -1}, {4, 9, 17, -1}, {4, 9, 18, -1}, {4, 10, 11, -1}, {4, 10, 12, -1}, {4, 10, 13, -1}, {4, 10, 14, -1}, {4, 10, 15, -1}, {4, 10, 16, -1}, {4, 10, 17, -1}, {4, 10, 18, -1}, {4, 11, 12, -1}, {4, 11, 13, -1}, {4, 11, 14, -1}, {4, 11, 15, -1}, {4, 11, 16, -1}, {4, 11, 17, -1}, {4, 11, 18, -1}, {4, 12, 13, -1}, {4, 12, 14, -1}, {4, 12, 15, -1}, {4, 12, 16, -1}, {4, 12, 17, -1}, {4, 12, 18, -1}, {4, 13, 14, -1}, {4, 13, 15, -1}, {4, 13, 16, -1}, {4, 13, 17, -1}, {4, 13, 18, -1}, {4, 14, 15, -1}, {4, 14, 16, -1}, {4, 14, 17, -1}, {4, 14, 18, -1}, {4, 15, 16, -1}, {4, 15, 17, -1}, {4, 15, 18, -1}, {4, 16, 17, -1}, {4, 16, 18, -1}, {4, 17, 18, -1}, {5, 6, 7, -1}, {5, 6, 8, -1}, {5, 6, 9, -1}, {5, 6, 10, -1}, {5, 6, 11, -1}, {5, 6, 12, -1}, {5, 6, 13, -1}, {5, 6, 14, -1}, {5, 6, 15, -1}, {5, 6, 16, -1}, {5, 6, 17, -1}, {5, 6, 18, -1}, {5, 7, 8, -1}, {5, 7, 9, -1}, {5, 7, 10, -1}, {5, 7, 11, -1}, {5, 7, 12, -1}, {5, 7, 13, -1}, {5, 7, 14, -1}, {5, 7, 15, -1}, {5, 7, 16, -1}, {5, 7, 17, -1}, {5, 7, 18, -1}, {5, 8, 9, -1}, {5, 8, 10, -1}, {5, 8, 11, -1}, {5, 8, 12, -1}, {5, 8, 13, -1}, {5, 8, 14, -1}, {5, 8, 15, -1}, {5, 8, 16, -1}, {5, 8, 17, -1}, {5, 8, 18, -1}, {5, 9, 10, -1}, {5, 9, 11, -1}, {5, 9, 12, -1}, {5, 9, 13, -1}, {5, 9, 14, -1}, {5, 9, 15, -1}, {5, 9, 16, -1}, {5, 9, 17, -1}, {5, 9, 18, -1}, {5, 10, 11, -1}, {5, 10, 12, -1}, {5, 10, 13, -1}, {5, 10, 14, -1}, {5, 10, 15, -1}, {5, 10, 16, -1}, {5, 10, 17, -1}, {5, 10, 18, -1}, {5, 11, 12, -1}, {5, 11, 13, -1}, {5, 11, 14, -1}, {5, 11, 15, -1}, {5, 11, 16, -1}, {5, 11, 17, -1}, {5, 11, 18, -1}, {5, 12, 13, -1}, {5, 12, 14, -1}, {5, 12, 15, -1}, {5, 12, 16, -1}, {5, 12, 17, -1}, {5, 12, 18, -1}, {5, 13, 14, -1}, {5, 13, 15, -1}, {5, 13, 16, -1}, {5, 13, 17, -1}, {5, 13, 18, -1}, {5, 14, 15, -1}, {5, 14, 16, -1}, {5, 14, 17, -1}, {5, 14, 18, -1}, {5, 15, 16, -1}, {5, 15, 17, -1}, {5, 15, 18, -1}, {5, 16, 17, -1}, {5, 16, 18, -1}, {5, 17, 18, -1}, {6, 7, 8, -1}, {6, 7, 9, -1}, {6, 7, 10, -1}, {6, 7, 11, -1}, {6, 7, 12, -1}, {6, 7, 13, -1}, {6, 7, 14, -1}, {6, 7, 15, -1}, {6, 7, 16, -1}, {6, 7, 17, -1}, {6, 7, 18, -1}, {6, 8, 9, -1}, {6, 8, 10, -1}, {6, 8, 11, -1}, {6, 8, 12, -1}, {6, 8, 13, -1}, {6, 8, 14, -1}, {6, 8, 15, -1}, {6, 8, 16, -1}, {6, 8, 17, -1}, {6, 8, 18, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 9, 13, -1}, {6, 9, 14, -1}, {6, 9, 15, -1}, {6, 9, 16, -1}, {6, 9, 17, -1}, {6, 9, 18, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 10, 13, -1}, {6, 10, 14, -1}, {6, 10, 15, -1}, {6, 10, 16, -1}, {6, 10, 17, -1}, {6, 10, 18, -1}, {6, 11, 12, -1}, {6, 11, 13, -1}, {6, 11, 14, -1}, {6, 11, 15, -1}, {6, 11, 16, -1}, {6, 11, 17, -1}, {6, 11, 18, -1}, {6, 12, 13, -1}, {6, 12, 14, -1}, {6, 12, 15, -1}, {6, 12, 16, -1}, {6, 12, 17, -1}, {6, 12, 18, -1}, {6, 13, 14, -1}, {6, 13, 15, -1}, {6, 13, 16, -1}, {6, 13, 17, -1}, {6, 13, 18, -1}, {6, 14, 15, -1}, {6, 14, 16, -1}, {6, 14, 17, -1}, {6, 14, 18, -1}, {6, 15, 16, -1}, {6, 15, 17, -1}, {6, 15, 18, -1}, {6, 16, 17, -1}, {6, 16, 18, -1}, {6, 17, 18, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 8, 14, -1}, {7, 8, 15, -1}, {7, 8, 16, -1}, {7, 8, 17, -1}, {7, 8, 18, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 9, 14, -1}, {7, 9, 15, -1}, {7, 9, 16, -1}, {7, 9, 17, -1}, {7, 9, 18, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 10, 14, -1}, {7, 10, 15, -1}, {7, 10, 16, -1}, {7, 10, 17, -1}, {7, 10, 18, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 11, 14, -1}, {7, 11, 15, -1}, {7, 11, 16, -1}, {7, 11, 17, -1}, {7, 11, 18, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 12, 15, -1}, {7, 12, 16, -1}, {7, 12, 17, -1}, {7, 12, 18, -1}, {7, 13, 14, -1}, {7, 13, 15, -1}, {7, 13, 16, -1}, {7, 13, 17, -1}, {7, 13, 18, -1}, {7, 14, 15, -1}, {7, 14, 16, -1}, {7, 14, 17, -1}, {7, 14, 18, -1}, {7, 15, 16, -1}, {7, 15, 17, -1}, {7, 15, 18, -1}, {7, 16, 17, -1}, {7, 16, 18, -1}, {7, 17, 18, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 9, 15, -1}, {8, 9, 16, -1}, {8, 9, 17, -1}, {8, 9, 18, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 10, 15, -1}, {8, 10, 16, -1}, {8, 10, 17, -1}, {8, 10, 18, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 11, 15, -1}, {8, 11, 16, -1}, {8, 11, 17, -1}, {8, 11, 18, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 12, 15, -1}, {8, 12, 16, -1}, {8, 12, 17, -1}, {8, 12, 18, -1}, {8, 13, 14, -1}, {8, 13, 15, -1}, {8, 13, 16, -1}, {8, 13, 17, -1}, {8, 13, 18, -1}, {8, 14, 15, -1}, {8, 14, 16, -1}, {8, 14, 17, -1}, {8, 14, 18, -1}, {8, 15, 16, -1}, {8, 15, 17, -1}, {8, 15, 18, -1}, {8, 16, 17, -1}, {8, 16, 18, -1}, {8, 17, 18, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 10, 15, -1}, {9, 10, 16, -1}, {9, 10, 17, -1}, {9, 10, 18, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 11, 16, -1}, {9, 11, 17, -1}, {9, 11, 18, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 12, 16, -1}, {9, 12, 17, -1}, {9, 12, 18, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 13, 16, -1}, {9, 13, 17, -1}, {9, 13, 18, -1}, {9, 14, 15, -1}, {9, 14, 16, -1}, {9, 14, 17, -1}, {9, 14, 18, -1}, {9, 15, 16, -1}, {9, 15, 17, -1}, {9, 15, 18, -1}, {9, 16, 17, -1}, {9, 16, 18, -1}, {9, 17, 18, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 11, 17, -1}, {10, 11, 18, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 12, 17, -1}, {10, 12, 18, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 13, 17, -1}, {10, 13, 18, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 14, 17, -1}, {10, 14, 18, -1}, {10, 15, 16, -1}, {10, 15, 17, -1}, {10, 15, 18, -1}, {10, 16, 17, -1}, {10, 16, 18, -1}, {10, 17, 18, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 12, 17, -1}, {11, 12, 18, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 13, 17, -1}, {11, 13, 18, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 14, 17, -1}, {11, 14, 18, -1}, {11, 15, 16, -1}, {11, 15, 17, -1}, {11, 15, 18, -1}, {11, 16, 17, -1}, {11, 16, 18, -1}, {11, 17, 18, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 13, 18, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 14, 18, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 15, 18, -1}, {12, 16, 17, -1}, {12, 16, 18, -1}, {12, 17, 18, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 14, 18, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 15, 18, -1}, {13, 16, 17, -1}, {13, 16, 18, -1}, {13, 17, 18, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 15, 18, -1}, {14, 16, 17, -1}, {14, 16, 18, -1}, {14, 17, 18, -1}, {15, 16, 17, -1}, {15, 16, 18, -1}, {15, 17, 18, -1}, {16, 17, 18, -1}} ;
+#define NUM_20_3_COMBS 210
+int failure_combs_20_3[NUM_20_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {18, 19, -1, -1}} ;
+#define NUM_20_4_COMBS 1350
+int failure_combs_20_4[NUM_20_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {18, 19, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 1, 17, -1}, {0, 1, 18, -1}, {0, 1, 19, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 2, 17, -1}, {0, 2, 18, -1}, {0, 2, 19, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 3, 16, -1}, {0, 3, 17, -1}, {0, 3, 18, -1}, {0, 3, 19, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 4, 16, -1}, {0, 4, 17, -1}, {0, 4, 18, -1}, {0, 4, 19, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 5, 15, -1}, {0, 5, 16, -1}, {0, 5, 17, -1}, {0, 5, 18, -1}, {0, 5, 19, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 6, 15, -1}, {0, 6, 16, -1}, {0, 6, 17, -1}, {0, 6, 18, -1}, {0, 6, 19, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 7, 14, -1}, {0, 7, 15, -1}, {0, 7, 16, -1}, {0, 7, 17, -1}, {0, 7, 18, -1}, {0, 7, 19, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 8, 14, -1}, {0, 8, 15, -1}, {0, 8, 16, -1}, {0, 8, 17, -1}, {0, 8, 18, -1}, {0, 8, 19, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 9, 14, -1}, {0, 9, 15, -1}, {0, 9, 16, -1}, {0, 9, 17, -1}, {0, 9, 18, -1}, {0, 9, 19, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 10, 14, -1}, {0, 10, 15, -1}, {0, 10, 16, -1}, {0, 10, 17, -1}, {0, 10, 18, -1}, {0, 10, 19, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 11, 14, -1}, {0, 11, 15, -1}, {0, 11, 16, -1}, {0, 11, 17, -1}, {0, 11, 18, -1}, {0, 11, 19, -1}, {0, 12, 13, -1}, {0, 12, 14, -1}, {0, 12, 15, -1}, {0, 12, 16, -1}, {0, 12, 17, -1}, {0, 12, 18, -1}, {0, 12, 19, -1}, {0, 13, 14, -1}, {0, 13, 15, -1}, {0, 13, 16, -1}, {0, 13, 17, -1}, {0, 13, 18, -1}, {0, 13, 19, -1}, {0, 14, 15, -1}, {0, 14, 16, -1}, {0, 14, 17, -1}, {0, 14, 18, -1}, {0, 14, 19, -1}, {0, 15, 16, -1}, {0, 15, 17, -1}, {0, 15, 18, -1}, {0, 15, 19, -1}, {0, 16, 17, -1}, {0, 16, 18, -1}, {0, 16, 19, -1}, {0, 17, 18, -1}, {0, 17, 19, -1}, {0, 18, 19, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 2, 14, -1}, {1, 2, 15, -1}, {1, 2, 16, -1}, {1, 2, 17, -1}, {1, 2, 18, -1}, {1, 2, 19, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 3, 14, -1}, {1, 3, 15, -1}, {1, 3, 16, -1}, {1, 3, 17, -1}, {1, 3, 18, -1}, {1, 3, 19, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 4, 14, -1}, {1, 4, 15, -1}, {1, 4, 16, -1}, {1, 4, 17, -1}, {1, 4, 18, -1}, {1, 4, 19, -1}, {1, 5, 6, -1}, {1, 5, 7, -1}, {1, 5, 8, -1}, {1, 5, 9, -1}, {1, 5, 10, -1}, {1, 5, 11, -1}, {1, 5, 12, -1}, {1, 5, 13, -1}, {1, 5, 14, -1}, {1, 5, 15, -1}, {1, 5, 16, -1}, {1, 5, 17, -1}, {1, 5, 18, -1}, {1, 5, 19, -1}, {1, 6, 7, -1}, {1, 6, 8, -1}, {1, 6, 9, -1}, {1, 6, 10, -1}, {1, 6, 11, -1}, {1, 6, 12, -1}, {1, 6, 13, -1}, {1, 6, 14, -1}, {1, 6, 15, -1}, {1, 6, 16, -1}, {1, 6, 17, -1}, {1, 6, 18, -1}, {1, 6, 19, -1}, {1, 7, 8, -1}, {1, 7, 9, -1}, {1, 7, 10, -1}, {1, 7, 11, -1}, {1, 7, 12, -1}, {1, 7, 13, -1}, {1, 7, 14, -1}, {1, 7, 15, -1}, {1, 7, 16, -1}, {1, 7, 17, -1}, {1, 7, 18, -1}, {1, 7, 19, -1}, {1, 8, 9, -1}, {1, 8, 10, -1}, {1, 8, 11, -1}, {1, 8, 12, -1}, {1, 8, 13, -1}, {1, 8, 14, -1}, {1, 8, 15, -1}, {1, 8, 16, -1}, {1, 8, 17, -1}, {1, 8, 18, -1}, {1, 8, 19, -1}, {1, 9, 10, -1}, {1, 9, 11, -1}, {1, 9, 12, -1}, {1, 9, 13, -1}, {1, 9, 14, -1}, {1, 9, 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{6, 11, 19, -1}, {6, 12, 13, -1}, {6, 12, 14, -1}, {6, 12, 15, -1}, {6, 12, 16, -1}, {6, 12, 17, -1}, {6, 12, 18, -1}, {6, 12, 19, -1}, {6, 13, 14, -1}, {6, 13, 15, -1}, {6, 13, 16, -1}, {6, 13, 17, -1}, {6, 13, 18, -1}, {6, 13, 19, -1}, {6, 14, 15, -1}, {6, 14, 16, -1}, {6, 14, 17, -1}, {6, 14, 18, -1}, {6, 14, 19, -1}, {6, 15, 16, -1}, {6, 15, 17, -1}, {6, 15, 18, -1}, {6, 15, 19, -1}, {6, 16, 17, -1}, {6, 16, 18, -1}, {6, 16, 19, -1}, {6, 17, 18, -1}, {6, 17, 19, -1}, {6, 18, 19, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 8, 14, -1}, {7, 8, 15, -1}, {7, 8, 16, -1}, {7, 8, 17, -1}, {7, 8, 18, -1}, {7, 8, 19, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 9, 14, -1}, {7, 9, 15, -1}, {7, 9, 16, -1}, {7, 9, 17, -1}, {7, 9, 18, -1}, {7, 9, 19, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 10, 14, -1}, {7, 10, 15, -1}, {7, 10, 16, -1}, {7, 10, 17, -1}, {7, 10, 18, -1}, {7, 10, 19, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 11, 14, -1}, {7, 11, 15, -1}, {7, 11, 16, -1}, {7, 11, 17, -1}, {7, 11, 18, -1}, {7, 11, 19, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 12, 15, -1}, {7, 12, 16, -1}, {7, 12, 17, -1}, {7, 12, 18, -1}, {7, 12, 19, -1}, {7, 13, 14, -1}, {7, 13, 15, -1}, {7, 13, 16, -1}, {7, 13, 17, -1}, {7, 13, 18, -1}, {7, 13, 19, -1}, {7, 14, 15, -1}, {7, 14, 16, -1}, {7, 14, 17, -1}, {7, 14, 18, -1}, {7, 14, 19, -1}, {7, 15, 16, -1}, {7, 15, 17, -1}, {7, 15, 18, -1}, {7, 15, 19, -1}, {7, 16, 17, -1}, {7, 16, 18, -1}, {7, 16, 19, -1}, {7, 17, 18, -1}, {7, 17, 19, -1}, {7, 18, 19, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 9, 15, -1}, {8, 9, 16, -1}, {8, 9, 17, -1}, {8, 9, 18, -1}, {8, 9, 19, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 10, 15, -1}, {8, 10, 16, -1}, {8, 10, 17, -1}, {8, 10, 18, -1}, {8, 10, 19, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 11, 15, -1}, {8, 11, 16, -1}, {8, 11, 17, -1}, {8, 11, 18, -1}, {8, 11, 19, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 12, 15, -1}, {8, 12, 16, -1}, {8, 12, 17, -1}, {8, 12, 18, -1}, {8, 12, 19, -1}, {8, 13, 14, -1}, {8, 13, 15, -1}, {8, 13, 16, -1}, {8, 13, 17, -1}, {8, 13, 18, -1}, {8, 13, 19, -1}, {8, 14, 15, -1}, {8, 14, 16, -1}, {8, 14, 17, -1}, {8, 14, 18, -1}, {8, 14, 19, -1}, {8, 15, 16, -1}, {8, 15, 17, -1}, {8, 15, 18, -1}, {8, 15, 19, -1}, {8, 16, 17, -1}, {8, 16, 18, -1}, {8, 16, 19, -1}, {8, 17, 18, -1}, {8, 17, 19, -1}, {8, 18, 19, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 10, 15, -1}, {9, 10, 16, -1}, {9, 10, 17, -1}, {9, 10, 18, -1}, {9, 10, 19, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 11, 16, -1}, {9, 11, 17, -1}, {9, 11, 18, -1}, {9, 11, 19, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 12, 16, -1}, {9, 12, 17, -1}, {9, 12, 18, -1}, {9, 12, 19, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 13, 16, -1}, {9, 13, 17, -1}, {9, 13, 18, -1}, {9, 13, 19, -1}, {9, 14, 15, -1}, {9, 14, 16, -1}, {9, 14, 17, -1}, {9, 14, 18, -1}, {9, 14, 19, -1}, {9, 15, 16, -1}, {9, 15, 17, -1}, {9, 15, 18, -1}, {9, 15, 19, -1}, {9, 16, 17, -1}, {9, 16, 18, -1}, {9, 16, 19, -1}, {9, 17, 18, -1}, {9, 17, 19, -1}, {9, 18, 19, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 11, 17, -1}, {10, 11, 18, -1}, {10, 11, 19, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 12, 17, -1}, {10, 12, 18, -1}, {10, 12, 19, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 13, 17, -1}, {10, 13, 18, -1}, {10, 13, 19, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 14, 17, -1}, {10, 14, 18, -1}, {10, 14, 19, -1}, {10, 15, 16, -1}, {10, 15, 17, -1}, {10, 15, 18, -1}, {10, 15, 19, -1}, {10, 16, 17, -1}, {10, 16, 18, -1}, {10, 16, 19, -1}, {10, 17, 18, -1}, {10, 17, 19, -1}, {10, 18, 19, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 12, 17, -1}, {11, 12, 18, -1}, {11, 12, 19, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 13, 17, -1}, {11, 13, 18, -1}, {11, 13, 19, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 14, 17, -1}, {11, 14, 18, -1}, {11, 14, 19, -1}, {11, 15, 16, -1}, {11, 15, 17, -1}, {11, 15, 18, -1}, {11, 15, 19, -1}, {11, 16, 17, -1}, {11, 16, 18, -1}, {11, 16, 19, -1}, {11, 17, 18, -1}, {11, 17, 19, -1}, {11, 18, 19, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 13, 18, -1}, {12, 13, 19, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 14, 18, -1}, {12, 14, 19, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 15, 18, -1}, {12, 15, 19, -1}, {12, 16, 17, -1}, {12, 16, 18, -1}, {12, 16, 19, -1}, {12, 17, 18, -1}, {12, 17, 19, -1}, {12, 18, 19, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 14, 18, -1}, {13, 14, 19, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 15, 18, -1}, {13, 15, 19, -1}, {13, 16, 17, -1}, {13, 16, 18, -1}, {13, 16, 19, -1}, {13, 17, 18, -1}, {13, 17, 19, -1}, {13, 18, 19, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 15, 18, -1}, {14, 15, 19, -1}, {14, 16, 17, -1}, {14, 16, 18, -1}, {14, 16, 19, -1}, {14, 17, 18, -1}, {14, 17, 19, -1}, {14, 18, 19, -1}, {15, 16, 17, -1}, {15, 16, 18, -1}, {15, 16, 19, -1}, {15, 17, 18, -1}, {15, 17, 19, -1}, {15, 18, 19, -1}, {16, 17, 18, -1}, {16, 17, 19, -1}, {16, 18, 19, -1}, {17, 18, 19, -1}} ;
+#define NUM_21_3_COMBS 231
+int failure_combs_21_3[NUM_21_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {19, 20, -1, -1}} ;
+#define NUM_21_4_COMBS 1561
+int failure_combs_21_4[NUM_21_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, 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{9, 17, 19, -1}, {9, 17, 20, -1}, {9, 18, 19, -1}, {9, 18, 20, -1}, {9, 19, 20, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 11, 17, -1}, {10, 11, 18, -1}, {10, 11, 19, -1}, {10, 11, 20, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 12, 17, -1}, {10, 12, 18, -1}, {10, 12, 19, -1}, {10, 12, 20, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 13, 17, -1}, {10, 13, 18, -1}, {10, 13, 19, -1}, {10, 13, 20, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 14, 17, -1}, {10, 14, 18, -1}, {10, 14, 19, -1}, {10, 14, 20, -1}, {10, 15, 16, -1}, {10, 15, 17, -1}, {10, 15, 18, -1}, {10, 15, 19, -1}, {10, 15, 20, -1}, {10, 16, 17, -1}, {10, 16, 18, -1}, {10, 16, 19, -1}, {10, 16, 20, -1}, {10, 17, 18, -1}, {10, 17, 19, -1}, {10, 17, 20, -1}, {10, 18, 19, -1}, {10, 18, 20, -1}, {10, 19, 20, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 12, 17, -1}, {11, 12, 18, -1}, {11, 12, 19, -1}, {11, 12, 20, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 13, 17, -1}, {11, 13, 18, -1}, {11, 13, 19, -1}, {11, 13, 20, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 14, 17, -1}, {11, 14, 18, -1}, {11, 14, 19, -1}, {11, 14, 20, -1}, {11, 15, 16, -1}, {11, 15, 17, -1}, {11, 15, 18, -1}, {11, 15, 19, -1}, {11, 15, 20, -1}, {11, 16, 17, -1}, {11, 16, 18, -1}, {11, 16, 19, -1}, {11, 16, 20, -1}, {11, 17, 18, -1}, {11, 17, 19, -1}, {11, 17, 20, -1}, {11, 18, 19, -1}, {11, 18, 20, -1}, {11, 19, 20, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 13, 18, -1}, {12, 13, 19, -1}, {12, 13, 20, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 14, 18, -1}, {12, 14, 19, -1}, {12, 14, 20, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 15, 18, -1}, {12, 15, 19, -1}, {12, 15, 20, -1}, {12, 16, 17, -1}, {12, 16, 18, -1}, {12, 16, 19, -1}, {12, 16, 20, -1}, {12, 17, 18, -1}, {12, 17, 19, -1}, {12, 17, 20, -1}, {12, 18, 19, -1}, {12, 18, 20, -1}, {12, 19, 20, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 14, 18, -1}, {13, 14, 19, -1}, {13, 14, 20, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 15, 18, -1}, {13, 15, 19, -1}, {13, 15, 20, -1}, {13, 16, 17, -1}, {13, 16, 18, -1}, {13, 16, 19, -1}, {13, 16, 20, -1}, {13, 17, 18, -1}, {13, 17, 19, -1}, {13, 17, 20, -1}, {13, 18, 19, -1}, {13, 18, 20, -1}, {13, 19, 20, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 15, 18, -1}, {14, 15, 19, -1}, {14, 15, 20, -1}, {14, 16, 17, -1}, {14, 16, 18, -1}, {14, 16, 19, -1}, {14, 16, 20, -1}, {14, 17, 18, -1}, {14, 17, 19, -1}, {14, 17, 20, -1}, {14, 18, 19, -1}, {14, 18, 20, -1}, {14, 19, 20, -1}, {15, 16, 17, -1}, {15, 16, 18, -1}, {15, 16, 19, -1}, {15, 16, 20, -1}, {15, 17, 18, -1}, {15, 17, 19, -1}, {15, 17, 20, -1}, {15, 18, 19, -1}, {15, 18, 20, -1}, {15, 19, 20, -1}, {16, 17, 18, -1}, {16, 17, 19, -1}, {16, 17, 20, -1}, {16, 18, 19, -1}, {16, 18, 20, -1}, {16, 19, 20, -1}, {17, 18, 19, -1}, {17, 18, 20, -1}, {17, 19, 20, -1}, {18, 19, 20, -1}} ;
+#define NUM_22_3_COMBS 253
+int failure_combs_22_3[NUM_22_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {20, 21, -1, -1}} ;
+#define NUM_22_4_COMBS 1793
+int failure_combs_22_4[NUM_22_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {20, 21, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 1, 17, -1}, {0, 1, 18, -1}, {0, 1, 19, -1}, {0, 1, 20, -1}, {0, 1, 21, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 2, 17, -1}, {0, 2, 18, -1}, {0, 2, 19, -1}, {0, 2, 20, -1}, {0, 2, 21, -1}, {0, 3, 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14, -1}, {9, 10, 15, -1}, {9, 10, 16, -1}, {9, 10, 17, -1}, {9, 10, 18, -1}, {9, 10, 19, -1}, {9, 10, 20, -1}, {9, 10, 21, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 11, 16, -1}, {9, 11, 17, -1}, {9, 11, 18, -1}, {9, 11, 19, -1}, {9, 11, 20, -1}, {9, 11, 21, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 12, 16, -1}, {9, 12, 17, -1}, {9, 12, 18, -1}, {9, 12, 19, -1}, {9, 12, 20, -1}, {9, 12, 21, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 13, 16, -1}, {9, 13, 17, -1}, {9, 13, 18, -1}, {9, 13, 19, -1}, {9, 13, 20, -1}, {9, 13, 21, -1}, {9, 14, 15, -1}, {9, 14, 16, -1}, {9, 14, 17, -1}, {9, 14, 18, -1}, {9, 14, 19, -1}, {9, 14, 20, -1}, {9, 14, 21, -1}, {9, 15, 16, -1}, {9, 15, 17, -1}, {9, 15, 18, -1}, {9, 15, 19, -1}, {9, 15, 20, -1}, {9, 15, 21, -1}, {9, 16, 17, -1}, {9, 16, 18, -1}, {9, 16, 19, -1}, {9, 16, 20, -1}, {9, 16, 21, -1}, {9, 17, 18, -1}, {9, 17, 19, -1}, {9, 17, 20, -1}, {9, 17, 21, -1}, {9, 18, 19, -1}, {9, 18, 20, -1}, {9, 18, 21, -1}, {9, 19, 20, -1}, {9, 19, 21, -1}, {9, 20, 21, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 11, 17, -1}, {10, 11, 18, -1}, {10, 11, 19, -1}, {10, 11, 20, -1}, {10, 11, 21, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 12, 17, -1}, {10, 12, 18, -1}, {10, 12, 19, -1}, {10, 12, 20, -1}, {10, 12, 21, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 13, 17, -1}, {10, 13, 18, -1}, {10, 13, 19, -1}, {10, 13, 20, -1}, {10, 13, 21, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 14, 17, -1}, {10, 14, 18, -1}, {10, 14, 19, -1}, {10, 14, 20, -1}, {10, 14, 21, -1}, {10, 15, 16, -1}, {10, 15, 17, -1}, {10, 15, 18, -1}, {10, 15, 19, -1}, {10, 15, 20, -1}, {10, 15, 21, -1}, {10, 16, 17, -1}, {10, 16, 18, -1}, {10, 16, 19, -1}, {10, 16, 20, -1}, {10, 16, 21, -1}, {10, 17, 18, -1}, {10, 17, 19, -1}, {10, 17, 20, -1}, {10, 17, 21, -1}, {10, 18, 19, -1}, {10, 18, 20, -1}, {10, 18, 21, -1}, {10, 19, 20, -1}, {10, 19, 21, -1}, {10, 20, 21, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 12, 17, -1}, {11, 12, 18, -1}, {11, 12, 19, -1}, {11, 12, 20, -1}, {11, 12, 21, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 13, 17, -1}, {11, 13, 18, -1}, {11, 13, 19, -1}, {11, 13, 20, -1}, {11, 13, 21, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 14, 17, -1}, {11, 14, 18, -1}, {11, 14, 19, -1}, {11, 14, 20, -1}, {11, 14, 21, -1}, {11, 15, 16, -1}, {11, 15, 17, -1}, {11, 15, 18, -1}, {11, 15, 19, -1}, {11, 15, 20, -1}, {11, 15, 21, -1}, {11, 16, 17, -1}, {11, 16, 18, -1}, {11, 16, 19, -1}, {11, 16, 20, -1}, {11, 16, 21, -1}, {11, 17, 18, -1}, {11, 17, 19, -1}, {11, 17, 20, -1}, {11, 17, 21, -1}, {11, 18, 19, -1}, {11, 18, 20, -1}, {11, 18, 21, -1}, {11, 19, 20, -1}, {11, 19, 21, -1}, {11, 20, 21, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 13, 18, -1}, {12, 13, 19, -1}, {12, 13, 20, -1}, {12, 13, 21, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 14, 18, -1}, {12, 14, 19, -1}, {12, 14, 20, -1}, {12, 14, 21, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 15, 18, -1}, {12, 15, 19, -1}, {12, 15, 20, -1}, {12, 15, 21, -1}, {12, 16, 17, -1}, {12, 16, 18, -1}, {12, 16, 19, -1}, {12, 16, 20, -1}, {12, 16, 21, -1}, {12, 17, 18, -1}, {12, 17, 19, -1}, {12, 17, 20, -1}, {12, 17, 21, -1}, {12, 18, 19, -1}, {12, 18, 20, -1}, {12, 18, 21, -1}, {12, 19, 20, -1}, {12, 19, 21, -1}, {12, 20, 21, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 14, 18, -1}, {13, 14, 19, -1}, {13, 14, 20, -1}, {13, 14, 21, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 15, 18, -1}, {13, 15, 19, -1}, {13, 15, 20, -1}, {13, 15, 21, -1}, {13, 16, 17, -1}, {13, 16, 18, -1}, {13, 16, 19, -1}, {13, 16, 20, -1}, {13, 16, 21, -1}, {13, 17, 18, -1}, {13, 17, 19, -1}, {13, 17, 20, -1}, {13, 17, 21, -1}, {13, 18, 19, -1}, {13, 18, 20, -1}, {13, 18, 21, -1}, {13, 19, 20, -1}, {13, 19, 21, -1}, {13, 20, 21, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 15, 18, -1}, {14, 15, 19, -1}, {14, 15, 20, -1}, {14, 15, 21, -1}, {14, 16, 17, -1}, {14, 16, 18, -1}, {14, 16, 19, -1}, {14, 16, 20, -1}, {14, 16, 21, -1}, {14, 17, 18, -1}, {14, 17, 19, -1}, {14, 17, 20, -1}, {14, 17, 21, -1}, {14, 18, 19, -1}, {14, 18, 20, -1}, {14, 18, 21, -1}, {14, 19, 20, -1}, {14, 19, 21, -1}, {14, 20, 21, -1}, {15, 16, 17, -1}, {15, 16, 18, -1}, {15, 16, 19, -1}, {15, 16, 20, -1}, {15, 16, 21, -1}, {15, 17, 18, -1}, {15, 17, 19, -1}, {15, 17, 20, -1}, {15, 17, 21, -1}, {15, 18, 19, -1}, {15, 18, 20, -1}, {15, 18, 21, -1}, {15, 19, 20, -1}, {15, 19, 21, -1}, {15, 20, 21, -1}, {16, 17, 18, -1}, {16, 17, 19, -1}, {16, 17, 20, -1}, {16, 17, 21, -1}, {16, 18, 19, -1}, {16, 18, 20, -1}, {16, 18, 21, -1}, {16, 19, 20, -1}, {16, 19, 21, -1}, {16, 20, 21, -1}, {17, 18, 19, -1}, {17, 18, 20, -1}, {17, 18, 21, -1}, {17, 19, 20, -1}, {17, 19, 21, -1}, {17, 20, 21, -1}, {18, 19, 20, -1}, {18, 19, 21, -1}, {18, 20, 21, -1}, {19, 20, 21, -1}} ;
+#define NUM_23_3_COMBS 276
+int failure_combs_23_3[NUM_23_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {8, 22, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {9, 22, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {10, 22, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {11, 22, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {12, 22, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {13, 22, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {14, 22, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {15, 22, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {16, 22, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {17, 22, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {18, 22, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {19, 22, -1, -1}, {20, 21, -1, -1}, {20, 22, -1, -1}, {21, 22, -1, -1}} ;
+#define NUM_23_4_COMBS 2047
+int failure_combs_23_4[NUM_23_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, 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{6, 8, 19, -1}, {6, 8, 20, -1}, {6, 8, 21, -1}, {6, 8, 22, -1}, {6, 9, 10, -1}, {6, 9, 11, -1}, {6, 9, 12, -1}, {6, 9, 13, -1}, {6, 9, 14, -1}, {6, 9, 15, -1}, {6, 9, 16, -1}, {6, 9, 17, -1}, {6, 9, 18, -1}, {6, 9, 19, -1}, {6, 9, 20, -1}, {6, 9, 21, -1}, {6, 9, 22, -1}, {6, 10, 11, -1}, {6, 10, 12, -1}, {6, 10, 13, -1}, {6, 10, 14, -1}, {6, 10, 15, -1}, {6, 10, 16, -1}, {6, 10, 17, -1}, {6, 10, 18, -1}, {6, 10, 19, -1}, {6, 10, 20, -1}, {6, 10, 21, -1}, {6, 10, 22, -1}, {6, 11, 12, -1}, {6, 11, 13, -1}, {6, 11, 14, -1}, {6, 11, 15, -1}, {6, 11, 16, -1}, {6, 11, 17, -1}, {6, 11, 18, -1}, {6, 11, 19, -1}, {6, 11, 20, -1}, {6, 11, 21, -1}, {6, 11, 22, -1}, {6, 12, 13, -1}, {6, 12, 14, -1}, {6, 12, 15, -1}, {6, 12, 16, -1}, {6, 12, 17, -1}, {6, 12, 18, -1}, {6, 12, 19, -1}, {6, 12, 20, -1}, {6, 12, 21, -1}, {6, 12, 22, -1}, {6, 13, 14, -1}, {6, 13, 15, -1}, {6, 13, 16, -1}, {6, 13, 17, -1}, {6, 13, 18, -1}, {6, 13, 19, -1}, {6, 13, 20, -1}, {6, 13, 21, -1}, {6, 13, 22, -1}, {6, 14, 15, -1}, {6, 14, 16, -1}, {6, 14, 17, -1}, {6, 14, 18, -1}, {6, 14, 19, -1}, {6, 14, 20, -1}, {6, 14, 21, -1}, {6, 14, 22, -1}, {6, 15, 16, -1}, {6, 15, 17, -1}, {6, 15, 18, -1}, {6, 15, 19, -1}, {6, 15, 20, -1}, {6, 15, 21, -1}, {6, 15, 22, -1}, {6, 16, 17, -1}, {6, 16, 18, -1}, {6, 16, 19, -1}, {6, 16, 20, -1}, {6, 16, 21, -1}, {6, 16, 22, -1}, {6, 17, 18, -1}, {6, 17, 19, -1}, {6, 17, 20, -1}, {6, 17, 21, -1}, {6, 17, 22, -1}, {6, 18, 19, -1}, {6, 18, 20, -1}, {6, 18, 21, -1}, {6, 18, 22, -1}, {6, 19, 20, -1}, {6, 19, 21, -1}, {6, 19, 22, -1}, {6, 20, 21, -1}, {6, 20, 22, -1}, {6, 21, 22, -1}, {7, 8, 9, -1}, {7, 8, 10, -1}, {7, 8, 11, -1}, {7, 8, 12, -1}, {7, 8, 13, -1}, {7, 8, 14, -1}, {7, 8, 15, -1}, {7, 8, 16, -1}, {7, 8, 17, -1}, {7, 8, 18, -1}, {7, 8, 19, -1}, {7, 8, 20, -1}, {7, 8, 21, -1}, {7, 8, 22, -1}, {7, 9, 10, -1}, {7, 9, 11, -1}, {7, 9, 12, -1}, {7, 9, 13, -1}, {7, 9, 14, -1}, {7, 9, 15, -1}, {7, 9, 16, -1}, {7, 9, 17, -1}, {7, 9, 18, -1}, {7, 9, 19, -1}, {7, 9, 20, -1}, {7, 9, 21, -1}, {7, 9, 22, -1}, {7, 10, 11, -1}, {7, 10, 12, -1}, {7, 10, 13, -1}, {7, 10, 14, -1}, {7, 10, 15, -1}, {7, 10, 16, -1}, {7, 10, 17, -1}, {7, 10, 18, -1}, {7, 10, 19, -1}, {7, 10, 20, -1}, {7, 10, 21, -1}, {7, 10, 22, -1}, {7, 11, 12, -1}, {7, 11, 13, -1}, {7, 11, 14, -1}, {7, 11, 15, -1}, {7, 11, 16, -1}, {7, 11, 17, -1}, {7, 11, 18, -1}, {7, 11, 19, -1}, {7, 11, 20, -1}, {7, 11, 21, -1}, {7, 11, 22, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 12, 15, -1}, {7, 12, 16, -1}, {7, 12, 17, -1}, {7, 12, 18, -1}, {7, 12, 19, -1}, {7, 12, 20, -1}, {7, 12, 21, -1}, {7, 12, 22, -1}, {7, 13, 14, -1}, {7, 13, 15, -1}, {7, 13, 16, -1}, {7, 13, 17, -1}, {7, 13, 18, -1}, {7, 13, 19, -1}, {7, 13, 20, -1}, {7, 13, 21, -1}, {7, 13, 22, -1}, {7, 14, 15, -1}, {7, 14, 16, -1}, {7, 14, 17, -1}, {7, 14, 18, -1}, {7, 14, 19, -1}, {7, 14, 20, -1}, {7, 14, 21, -1}, {7, 14, 22, -1}, {7, 15, 16, -1}, {7, 15, 17, -1}, {7, 15, 18, -1}, {7, 15, 19, -1}, {7, 15, 20, -1}, {7, 15, 21, -1}, {7, 15, 22, -1}, {7, 16, 17, -1}, {7, 16, 18, -1}, {7, 16, 19, -1}, {7, 16, 20, -1}, {7, 16, 21, -1}, {7, 16, 22, -1}, {7, 17, 18, -1}, {7, 17, 19, -1}, {7, 17, 20, -1}, {7, 17, 21, -1}, {7, 17, 22, -1}, {7, 18, 19, -1}, {7, 18, 20, -1}, {7, 18, 21, -1}, {7, 18, 22, -1}, {7, 19, 20, -1}, {7, 19, 21, -1}, {7, 19, 22, -1}, {7, 20, 21, -1}, {7, 20, 22, -1}, {7, 21, 22, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 9, 15, -1}, {8, 9, 16, -1}, {8, 9, 17, -1}, {8, 9, 18, -1}, {8, 9, 19, -1}, {8, 9, 20, -1}, {8, 9, 21, -1}, {8, 9, 22, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 10, 15, -1}, {8, 10, 16, -1}, {8, 10, 17, -1}, {8, 10, 18, -1}, {8, 10, 19, -1}, {8, 10, 20, -1}, {8, 10, 21, -1}, {8, 10, 22, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 11, 15, -1}, {8, 11, 16, -1}, {8, 11, 17, -1}, {8, 11, 18, -1}, {8, 11, 19, -1}, {8, 11, 20, -1}, {8, 11, 21, -1}, {8, 11, 22, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 12, 15, -1}, {8, 12, 16, -1}, {8, 12, 17, -1}, {8, 12, 18, -1}, {8, 12, 19, -1}, {8, 12, 20, -1}, {8, 12, 21, -1}, {8, 12, 22, -1}, {8, 13, 14, -1}, {8, 13, 15, -1}, {8, 13, 16, -1}, {8, 13, 17, -1}, {8, 13, 18, -1}, {8, 13, 19, -1}, {8, 13, 20, -1}, {8, 13, 21, -1}, {8, 13, 22, -1}, {8, 14, 15, -1}, {8, 14, 16, -1}, {8, 14, 17, -1}, {8, 14, 18, -1}, {8, 14, 19, -1}, {8, 14, 20, -1}, {8, 14, 21, -1}, {8, 14, 22, -1}, {8, 15, 16, -1}, {8, 15, 17, -1}, {8, 15, 18, -1}, {8, 15, 19, -1}, {8, 15, 20, -1}, {8, 15, 21, -1}, {8, 15, 22, -1}, {8, 16, 17, -1}, {8, 16, 18, -1}, {8, 16, 19, -1}, {8, 16, 20, -1}, {8, 16, 21, -1}, {8, 16, 22, -1}, {8, 17, 18, -1}, {8, 17, 19, -1}, {8, 17, 20, -1}, {8, 17, 21, -1}, {8, 17, 22, -1}, {8, 18, 19, -1}, {8, 18, 20, -1}, {8, 18, 21, -1}, {8, 18, 22, -1}, {8, 19, 20, -1}, {8, 19, 21, -1}, {8, 19, 22, -1}, {8, 20, 21, -1}, {8, 20, 22, -1}, {8, 21, 22, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 10, 15, -1}, {9, 10, 16, -1}, {9, 10, 17, -1}, {9, 10, 18, -1}, {9, 10, 19, -1}, {9, 10, 20, -1}, {9, 10, 21, -1}, {9, 10, 22, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 11, 16, -1}, {9, 11, 17, -1}, {9, 11, 18, -1}, {9, 11, 19, -1}, {9, 11, 20, -1}, {9, 11, 21, -1}, {9, 11, 22, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 12, 16, -1}, {9, 12, 17, -1}, {9, 12, 18, -1}, {9, 12, 19, -1}, {9, 12, 20, -1}, {9, 12, 21, -1}, {9, 12, 22, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 13, 16, -1}, {9, 13, 17, -1}, {9, 13, 18, -1}, {9, 13, 19, -1}, {9, 13, 20, -1}, {9, 13, 21, -1}, {9, 13, 22, -1}, {9, 14, 15, -1}, {9, 14, 16, -1}, {9, 14, 17, -1}, {9, 14, 18, -1}, {9, 14, 19, -1}, {9, 14, 20, -1}, {9, 14, 21, -1}, {9, 14, 22, -1}, {9, 15, 16, -1}, {9, 15, 17, -1}, {9, 15, 18, -1}, {9, 15, 19, -1}, {9, 15, 20, -1}, {9, 15, 21, -1}, {9, 15, 22, -1}, {9, 16, 17, -1}, {9, 16, 18, -1}, {9, 16, 19, -1}, {9, 16, 20, -1}, {9, 16, 21, -1}, {9, 16, 22, -1}, {9, 17, 18, -1}, {9, 17, 19, -1}, {9, 17, 20, -1}, {9, 17, 21, -1}, {9, 17, 22, -1}, {9, 18, 19, -1}, {9, 18, 20, -1}, {9, 18, 21, -1}, {9, 18, 22, -1}, {9, 19, 20, -1}, {9, 19, 21, -1}, {9, 19, 22, -1}, {9, 20, 21, -1}, {9, 20, 22, -1}, {9, 21, 22, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 11, 17, -1}, {10, 11, 18, -1}, {10, 11, 19, -1}, {10, 11, 20, -1}, {10, 11, 21, -1}, {10, 11, 22, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 12, 17, -1}, {10, 12, 18, -1}, {10, 12, 19, -1}, {10, 12, 20, -1}, {10, 12, 21, -1}, {10, 12, 22, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 13, 17, -1}, {10, 13, 18, -1}, {10, 13, 19, -1}, {10, 13, 20, -1}, {10, 13, 21, -1}, {10, 13, 22, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 14, 17, -1}, {10, 14, 18, -1}, {10, 14, 19, -1}, {10, 14, 20, -1}, {10, 14, 21, -1}, {10, 14, 22, -1}, {10, 15, 16, -1}, {10, 15, 17, -1}, {10, 15, 18, -1}, {10, 15, 19, -1}, {10, 15, 20, -1}, {10, 15, 21, -1}, {10, 15, 22, -1}, {10, 16, 17, -1}, {10, 16, 18, -1}, {10, 16, 19, -1}, {10, 16, 20, -1}, {10, 16, 21, -1}, {10, 16, 22, -1}, {10, 17, 18, -1}, {10, 17, 19, -1}, {10, 17, 20, -1}, {10, 17, 21, -1}, {10, 17, 22, -1}, {10, 18, 19, -1}, {10, 18, 20, -1}, {10, 18, 21, -1}, {10, 18, 22, -1}, {10, 19, 20, -1}, {10, 19, 21, -1}, {10, 19, 22, -1}, {10, 20, 21, -1}, {10, 20, 22, -1}, {10, 21, 22, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 12, 17, -1}, {11, 12, 18, -1}, {11, 12, 19, -1}, {11, 12, 20, -1}, {11, 12, 21, -1}, {11, 12, 22, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 13, 17, -1}, {11, 13, 18, -1}, {11, 13, 19, -1}, {11, 13, 20, -1}, {11, 13, 21, -1}, {11, 13, 22, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 14, 17, -1}, {11, 14, 18, -1}, {11, 14, 19, -1}, {11, 14, 20, -1}, {11, 14, 21, -1}, {11, 14, 22, -1}, {11, 15, 16, -1}, {11, 15, 17, -1}, {11, 15, 18, -1}, {11, 15, 19, -1}, {11, 15, 20, -1}, {11, 15, 21, -1}, {11, 15, 22, -1}, {11, 16, 17, -1}, {11, 16, 18, -1}, {11, 16, 19, -1}, {11, 16, 20, -1}, {11, 16, 21, -1}, {11, 16, 22, -1}, {11, 17, 18, -1}, {11, 17, 19, -1}, {11, 17, 20, -1}, {11, 17, 21, -1}, {11, 17, 22, -1}, {11, 18, 19, -1}, {11, 18, 20, -1}, {11, 18, 21, -1}, {11, 18, 22, -1}, {11, 19, 20, -1}, {11, 19, 21, -1}, {11, 19, 22, -1}, {11, 20, 21, -1}, {11, 20, 22, -1}, {11, 21, 22, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 13, 18, -1}, {12, 13, 19, -1}, {12, 13, 20, -1}, {12, 13, 21, -1}, {12, 13, 22, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 14, 18, -1}, {12, 14, 19, -1}, {12, 14, 20, -1}, {12, 14, 21, -1}, {12, 14, 22, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 15, 18, -1}, {12, 15, 19, -1}, {12, 15, 20, -1}, {12, 15, 21, -1}, {12, 15, 22, -1}, {12, 16, 17, -1}, {12, 16, 18, -1}, {12, 16, 19, -1}, {12, 16, 20, -1}, {12, 16, 21, -1}, {12, 16, 22, -1}, {12, 17, 18, -1}, {12, 17, 19, -1}, {12, 17, 20, -1}, {12, 17, 21, -1}, {12, 17, 22, -1}, {12, 18, 19, -1}, {12, 18, 20, -1}, {12, 18, 21, -1}, {12, 18, 22, -1}, {12, 19, 20, -1}, {12, 19, 21, -1}, {12, 19, 22, -1}, {12, 20, 21, -1}, {12, 20, 22, -1}, {12, 21, 22, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 14, 18, -1}, {13, 14, 19, -1}, {13, 14, 20, -1}, {13, 14, 21, -1}, {13, 14, 22, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 15, 18, -1}, {13, 15, 19, -1}, {13, 15, 20, -1}, {13, 15, 21, -1}, {13, 15, 22, -1}, {13, 16, 17, -1}, {13, 16, 18, -1}, {13, 16, 19, -1}, {13, 16, 20, -1}, {13, 16, 21, -1}, {13, 16, 22, -1}, {13, 17, 18, -1}, {13, 17, 19, -1}, {13, 17, 20, -1}, {13, 17, 21, -1}, {13, 17, 22, -1}, {13, 18, 19, -1}, {13, 18, 20, -1}, {13, 18, 21, -1}, {13, 18, 22, -1}, {13, 19, 20, -1}, {13, 19, 21, -1}, {13, 19, 22, -1}, {13, 20, 21, -1}, {13, 20, 22, -1}, {13, 21, 22, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 15, 18, -1}, {14, 15, 19, -1}, {14, 15, 20, -1}, {14, 15, 21, -1}, {14, 15, 22, -1}, {14, 16, 17, -1}, {14, 16, 18, -1}, {14, 16, 19, -1}, {14, 16, 20, -1}, {14, 16, 21, -1}, {14, 16, 22, -1}, {14, 17, 18, -1}, {14, 17, 19, -1}, {14, 17, 20, -1}, {14, 17, 21, -1}, {14, 17, 22, -1}, {14, 18, 19, -1}, {14, 18, 20, -1}, {14, 18, 21, -1}, {14, 18, 22, -1}, {14, 19, 20, -1}, {14, 19, 21, -1}, {14, 19, 22, -1}, {14, 20, 21, -1}, {14, 20, 22, -1}, {14, 21, 22, -1}, {15, 16, 17, -1}, {15, 16, 18, -1}, {15, 16, 19, -1}, {15, 16, 20, -1}, {15, 16, 21, -1}, {15, 16, 22, -1}, {15, 17, 18, -1}, {15, 17, 19, -1}, {15, 17, 20, -1}, {15, 17, 21, -1}, {15, 17, 22, -1}, {15, 18, 19, -1}, {15, 18, 20, -1}, {15, 18, 21, -1}, {15, 18, 22, -1}, {15, 19, 20, -1}, {15, 19, 21, -1}, {15, 19, 22, -1}, {15, 20, 21, -1}, {15, 20, 22, -1}, {15, 21, 22, -1}, {16, 17, 18, -1}, {16, 17, 19, -1}, {16, 17, 20, -1}, {16, 17, 21, -1}, {16, 17, 22, -1}, {16, 18, 19, -1}, {16, 18, 20, -1}, {16, 18, 21, -1}, {16, 18, 22, -1}, {16, 19, 20, -1}, {16, 19, 21, -1}, {16, 19, 22, -1}, {16, 20, 21, -1}, {16, 20, 22, -1}, {16, 21, 22, -1}, {17, 18, 19, -1}, {17, 18, 20, -1}, {17, 18, 21, -1}, {17, 18, 22, -1}, {17, 19, 20, -1}, {17, 19, 21, -1}, {17, 19, 22, -1}, {17, 20, 21, -1}, {17, 20, 22, -1}, {17, 21, 22, -1}, {18, 19, 20, -1}, {18, 19, 21, -1}, {18, 19, 22, -1}, {18, 20, 21, -1}, {18, 20, 22, -1}, {18, 21, 22, -1}, {19, 20, 21, -1}, {19, 20, 22, -1}, {19, 21, 22, -1}, {20, 21, 22, -1}} ;
+#define NUM_24_3_COMBS 300
+int failure_combs_24_3[NUM_24_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {23, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {0, 23, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {1, 23, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {2, 23, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {3, 23, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {4, 23, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {5, 23, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {6, 23, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {7, 23, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {8, 22, -1, -1}, {8, 23, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {9, 22, -1, -1}, {9, 23, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {10, 22, -1, -1}, {10, 23, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {11, 22, -1, -1}, {11, 23, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {12, 22, -1, -1}, {12, 23, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {13, 22, -1, -1}, {13, 23, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {14, 22, -1, -1}, {14, 23, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {15, 22, -1, -1}, {15, 23, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {16, 22, -1, -1}, {16, 23, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {17, 22, -1, -1}, {17, 23, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {18, 22, -1, -1}, {18, 23, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {19, 22, -1, -1}, {19, 23, -1, -1}, {20, 21, -1, -1}, {20, 22, -1, -1}, {20, 23, -1, -1}, {21, 22, -1, -1}, {21, 23, -1, -1}, {22, 23, -1, -1}} ;
+#define NUM_24_4_COMBS 2324
+int failure_combs_24_4[NUM_24_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {23, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {0, 23, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {1, 23, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {2, 23, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {3, 23, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {4, 23, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {5, 23, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {6, 23, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {7, 23, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {8, 22, -1, -1}, {8, 23, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {9, 22, -1, -1}, {9, 23, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {10, 22, -1, -1}, {10, 23, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {11, 22, -1, -1}, {11, 23, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {12, 22, -1, -1}, {12, 23, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {13, 22, -1, -1}, {13, 23, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {14, 22, -1, -1}, {14, 23, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {15, 22, -1, -1}, {15, 23, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {16, 22, -1, -1}, {16, 23, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {17, 22, -1, -1}, {17, 23, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {18, 22, -1, -1}, {18, 23, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {19, 22, -1, -1}, {19, 23, -1, -1}, {20, 21, -1, -1}, {20, 22, -1, -1}, {20, 23, -1, -1}, {21, 22, -1, -1}, {21, 23, -1, -1}, {22, 23, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 1, 17, -1}, {0, 1, 18, -1}, {0, 1, 19, -1}, {0, 1, 20, -1}, {0, 1, 21, -1}, {0, 1, 22, -1}, {0, 1, 23, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 2, 17, -1}, {0, 2, 18, -1}, {0, 2, 19, -1}, {0, 2, 20, -1}, {0, 2, 21, -1}, {0, 2, 22, -1}, {0, 2, 23, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 3, 16, -1}, {0, 3, 17, -1}, {0, 3, 18, -1}, {0, 3, 19, -1}, {0, 3, 20, -1}, {0, 3, 21, -1}, {0, 3, 22, -1}, {0, 3, 23, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 4, 16, -1}, {0, 4, 17, -1}, {0, 4, 18, -1}, {0, 4, 19, -1}, {0, 4, 20, -1}, {0, 4, 21, -1}, {0, 4, 22, -1}, {0, 4, 23, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 5, 15, -1}, {0, 5, 16, -1}, {0, 5, 17, -1}, {0, 5, 18, -1}, {0, 5, 19, -1}, {0, 5, 20, -1}, {0, 5, 21, -1}, {0, 5, 22, -1}, {0, 5, 23, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 6, 15, -1}, {0, 6, 16, -1}, {0, 6, 17, -1}, {0, 6, 18, -1}, {0, 6, 19, -1}, {0, 6, 20, -1}, 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15, -1}, {7, 11, 16, -1}, {7, 11, 17, -1}, {7, 11, 18, -1}, {7, 11, 19, -1}, {7, 11, 20, -1}, {7, 11, 21, -1}, {7, 11, 22, -1}, {7, 11, 23, -1}, {7, 12, 13, -1}, {7, 12, 14, -1}, {7, 12, 15, -1}, {7, 12, 16, -1}, {7, 12, 17, -1}, {7, 12, 18, -1}, {7, 12, 19, -1}, {7, 12, 20, -1}, {7, 12, 21, -1}, {7, 12, 22, -1}, {7, 12, 23, -1}, {7, 13, 14, -1}, {7, 13, 15, -1}, {7, 13, 16, -1}, {7, 13, 17, -1}, {7, 13, 18, -1}, {7, 13, 19, -1}, {7, 13, 20, -1}, {7, 13, 21, -1}, {7, 13, 22, -1}, {7, 13, 23, -1}, {7, 14, 15, -1}, {7, 14, 16, -1}, {7, 14, 17, -1}, {7, 14, 18, -1}, {7, 14, 19, -1}, {7, 14, 20, -1}, {7, 14, 21, -1}, {7, 14, 22, -1}, {7, 14, 23, -1}, {7, 15, 16, -1}, {7, 15, 17, -1}, {7, 15, 18, -1}, {7, 15, 19, -1}, {7, 15, 20, -1}, {7, 15, 21, -1}, {7, 15, 22, -1}, {7, 15, 23, -1}, {7, 16, 17, -1}, {7, 16, 18, -1}, {7, 16, 19, -1}, {7, 16, 20, -1}, {7, 16, 21, -1}, {7, 16, 22, -1}, {7, 16, 23, -1}, {7, 17, 18, -1}, {7, 17, 19, -1}, {7, 17, 20, -1}, {7, 17, 21, -1}, {7, 17, 22, -1}, {7, 17, 23, -1}, {7, 18, 19, -1}, {7, 18, 20, -1}, {7, 18, 21, -1}, {7, 18, 22, -1}, {7, 18, 23, -1}, {7, 19, 20, -1}, {7, 19, 21, -1}, {7, 19, 22, -1}, {7, 19, 23, -1}, {7, 20, 21, -1}, {7, 20, 22, -1}, {7, 20, 23, -1}, {7, 21, 22, -1}, {7, 21, 23, -1}, {7, 22, 23, -1}, {8, 9, 10, -1}, {8, 9, 11, -1}, {8, 9, 12, -1}, {8, 9, 13, -1}, {8, 9, 14, -1}, {8, 9, 15, -1}, {8, 9, 16, -1}, {8, 9, 17, -1}, {8, 9, 18, -1}, {8, 9, 19, -1}, {8, 9, 20, -1}, {8, 9, 21, -1}, {8, 9, 22, -1}, {8, 9, 23, -1}, {8, 10, 11, -1}, {8, 10, 12, -1}, {8, 10, 13, -1}, {8, 10, 14, -1}, {8, 10, 15, -1}, {8, 10, 16, -1}, {8, 10, 17, -1}, {8, 10, 18, -1}, {8, 10, 19, -1}, {8, 10, 20, -1}, {8, 10, 21, -1}, {8, 10, 22, -1}, {8, 10, 23, -1}, {8, 11, 12, -1}, {8, 11, 13, -1}, {8, 11, 14, -1}, {8, 11, 15, -1}, {8, 11, 16, -1}, {8, 11, 17, -1}, {8, 11, 18, -1}, {8, 11, 19, -1}, {8, 11, 20, -1}, {8, 11, 21, -1}, {8, 11, 22, -1}, {8, 11, 23, -1}, {8, 12, 13, -1}, {8, 12, 14, -1}, {8, 12, 15, -1}, {8, 12, 16, -1}, {8, 12, 17, -1}, {8, 12, 18, -1}, {8, 12, 19, -1}, {8, 12, 20, -1}, {8, 12, 21, -1}, {8, 12, 22, -1}, {8, 12, 23, -1}, {8, 13, 14, -1}, {8, 13, 15, -1}, {8, 13, 16, -1}, {8, 13, 17, -1}, {8, 13, 18, -1}, {8, 13, 19, -1}, {8, 13, 20, -1}, {8, 13, 21, -1}, {8, 13, 22, -1}, {8, 13, 23, -1}, {8, 14, 15, -1}, {8, 14, 16, -1}, {8, 14, 17, -1}, {8, 14, 18, -1}, {8, 14, 19, -1}, {8, 14, 20, -1}, {8, 14, 21, -1}, {8, 14, 22, -1}, {8, 14, 23, -1}, {8, 15, 16, -1}, {8, 15, 17, -1}, {8, 15, 18, -1}, {8, 15, 19, -1}, {8, 15, 20, -1}, {8, 15, 21, -1}, {8, 15, 22, -1}, {8, 15, 23, -1}, {8, 16, 17, -1}, {8, 16, 18, -1}, {8, 16, 19, -1}, {8, 16, 20, -1}, {8, 16, 21, -1}, {8, 16, 22, -1}, {8, 16, 23, -1}, {8, 17, 18, -1}, {8, 17, 19, -1}, {8, 17, 20, -1}, {8, 17, 21, -1}, {8, 17, 22, -1}, {8, 17, 23, -1}, {8, 18, 19, -1}, {8, 18, 20, -1}, {8, 18, 21, -1}, {8, 18, 22, -1}, {8, 18, 23, -1}, {8, 19, 20, -1}, {8, 19, 21, -1}, {8, 19, 22, -1}, {8, 19, 23, -1}, {8, 20, 21, -1}, {8, 20, 22, -1}, {8, 20, 23, -1}, {8, 21, 22, -1}, {8, 21, 23, -1}, {8, 22, 23, -1}, {9, 10, 11, -1}, {9, 10, 12, -1}, {9, 10, 13, -1}, {9, 10, 14, -1}, {9, 10, 15, -1}, {9, 10, 16, -1}, {9, 10, 17, -1}, {9, 10, 18, -1}, {9, 10, 19, -1}, {9, 10, 20, -1}, {9, 10, 21, -1}, {9, 10, 22, -1}, {9, 10, 23, -1}, {9, 11, 12, -1}, {9, 11, 13, -1}, {9, 11, 14, -1}, {9, 11, 15, -1}, {9, 11, 16, -1}, {9, 11, 17, -1}, {9, 11, 18, -1}, {9, 11, 19, -1}, {9, 11, 20, -1}, {9, 11, 21, -1}, {9, 11, 22, -1}, {9, 11, 23, -1}, {9, 12, 13, -1}, {9, 12, 14, -1}, {9, 12, 15, -1}, {9, 12, 16, -1}, {9, 12, 17, -1}, {9, 12, 18, -1}, {9, 12, 19, -1}, {9, 12, 20, -1}, {9, 12, 21, -1}, {9, 12, 22, -1}, {9, 12, 23, -1}, {9, 13, 14, -1}, {9, 13, 15, -1}, {9, 13, 16, -1}, {9, 13, 17, -1}, {9, 13, 18, -1}, {9, 13, 19, -1}, {9, 13, 20, -1}, {9, 13, 21, -1}, {9, 13, 22, -1}, {9, 13, 23, -1}, {9, 14, 15, -1}, {9, 14, 16, -1}, {9, 14, 17, -1}, {9, 14, 18, -1}, {9, 14, 19, -1}, {9, 14, 20, -1}, {9, 14, 21, -1}, {9, 14, 22, -1}, {9, 14, 23, -1}, {9, 15, 16, -1}, {9, 15, 17, -1}, {9, 15, 18, -1}, {9, 15, 19, -1}, {9, 15, 20, -1}, {9, 15, 21, -1}, {9, 15, 22, -1}, {9, 15, 23, -1}, {9, 16, 17, -1}, {9, 16, 18, -1}, {9, 16, 19, -1}, {9, 16, 20, -1}, {9, 16, 21, -1}, {9, 16, 22, -1}, {9, 16, 23, -1}, {9, 17, 18, -1}, {9, 17, 19, -1}, {9, 17, 20, -1}, {9, 17, 21, -1}, {9, 17, 22, -1}, {9, 17, 23, -1}, {9, 18, 19, -1}, {9, 18, 20, -1}, {9, 18, 21, -1}, {9, 18, 22, -1}, {9, 18, 23, -1}, {9, 19, 20, -1}, {9, 19, 21, -1}, {9, 19, 22, -1}, {9, 19, 23, -1}, {9, 20, 21, -1}, {9, 20, 22, -1}, {9, 20, 23, -1}, {9, 21, 22, -1}, {9, 21, 23, -1}, {9, 22, 23, -1}, {10, 11, 12, -1}, {10, 11, 13, -1}, {10, 11, 14, -1}, {10, 11, 15, -1}, {10, 11, 16, -1}, {10, 11, 17, -1}, {10, 11, 18, -1}, {10, 11, 19, -1}, {10, 11, 20, -1}, {10, 11, 21, -1}, {10, 11, 22, -1}, {10, 11, 23, -1}, {10, 12, 13, -1}, {10, 12, 14, -1}, {10, 12, 15, -1}, {10, 12, 16, -1}, {10, 12, 17, -1}, {10, 12, 18, -1}, {10, 12, 19, -1}, {10, 12, 20, -1}, {10, 12, 21, -1}, {10, 12, 22, -1}, {10, 12, 23, -1}, {10, 13, 14, -1}, {10, 13, 15, -1}, {10, 13, 16, -1}, {10, 13, 17, -1}, {10, 13, 18, -1}, {10, 13, 19, -1}, {10, 13, 20, -1}, {10, 13, 21, -1}, {10, 13, 22, -1}, {10, 13, 23, -1}, {10, 14, 15, -1}, {10, 14, 16, -1}, {10, 14, 17, -1}, {10, 14, 18, -1}, {10, 14, 19, -1}, {10, 14, 20, -1}, {10, 14, 21, -1}, {10, 14, 22, -1}, {10, 14, 23, -1}, {10, 15, 16, -1}, {10, 15, 17, -1}, {10, 15, 18, -1}, {10, 15, 19, -1}, {10, 15, 20, -1}, {10, 15, 21, -1}, {10, 15, 22, -1}, {10, 15, 23, -1}, {10, 16, 17, -1}, {10, 16, 18, -1}, {10, 16, 19, -1}, {10, 16, 20, -1}, {10, 16, 21, -1}, {10, 16, 22, -1}, {10, 16, 23, -1}, {10, 17, 18, -1}, {10, 17, 19, -1}, {10, 17, 20, -1}, {10, 17, 21, -1}, {10, 17, 22, -1}, {10, 17, 23, -1}, {10, 18, 19, -1}, {10, 18, 20, -1}, {10, 18, 21, -1}, {10, 18, 22, -1}, {10, 18, 23, -1}, {10, 19, 20, -1}, {10, 19, 21, -1}, {10, 19, 22, -1}, {10, 19, 23, -1}, {10, 20, 21, -1}, {10, 20, 22, -1}, {10, 20, 23, -1}, {10, 21, 22, -1}, {10, 21, 23, -1}, {10, 22, 23, -1}, {11, 12, 13, -1}, {11, 12, 14, -1}, {11, 12, 15, -1}, {11, 12, 16, -1}, {11, 12, 17, -1}, {11, 12, 18, -1}, {11, 12, 19, -1}, {11, 12, 20, -1}, {11, 12, 21, -1}, {11, 12, 22, -1}, {11, 12, 23, -1}, {11, 13, 14, -1}, {11, 13, 15, -1}, {11, 13, 16, -1}, {11, 13, 17, -1}, {11, 13, 18, -1}, {11, 13, 19, -1}, {11, 13, 20, -1}, {11, 13, 21, -1}, {11, 13, 22, -1}, {11, 13, 23, -1}, {11, 14, 15, -1}, {11, 14, 16, -1}, {11, 14, 17, -1}, {11, 14, 18, -1}, {11, 14, 19, -1}, {11, 14, 20, -1}, {11, 14, 21, -1}, {11, 14, 22, -1}, {11, 14, 23, -1}, {11, 15, 16, -1}, {11, 15, 17, -1}, {11, 15, 18, -1}, {11, 15, 19, -1}, {11, 15, 20, -1}, {11, 15, 21, -1}, {11, 15, 22, -1}, {11, 15, 23, -1}, {11, 16, 17, -1}, {11, 16, 18, -1}, {11, 16, 19, -1}, {11, 16, 20, -1}, {11, 16, 21, -1}, {11, 16, 22, -1}, {11, 16, 23, -1}, {11, 17, 18, -1}, {11, 17, 19, -1}, {11, 17, 20, -1}, {11, 17, 21, -1}, {11, 17, 22, -1}, {11, 17, 23, -1}, {11, 18, 19, -1}, {11, 18, 20, -1}, {11, 18, 21, -1}, {11, 18, 22, -1}, {11, 18, 23, -1}, {11, 19, 20, -1}, {11, 19, 21, -1}, {11, 19, 22, -1}, {11, 19, 23, -1}, {11, 20, 21, -1}, {11, 20, 22, -1}, {11, 20, 23, -1}, {11, 21, 22, -1}, {11, 21, 23, -1}, {11, 22, 23, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 13, 18, -1}, {12, 13, 19, -1}, {12, 13, 20, -1}, {12, 13, 21, -1}, {12, 13, 22, -1}, {12, 13, 23, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 14, 18, -1}, {12, 14, 19, -1}, {12, 14, 20, -1}, {12, 14, 21, -1}, {12, 14, 22, -1}, {12, 14, 23, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 15, 18, -1}, {12, 15, 19, -1}, {12, 15, 20, -1}, {12, 15, 21, -1}, {12, 15, 22, -1}, {12, 15, 23, -1}, {12, 16, 17, -1}, {12, 16, 18, -1}, {12, 16, 19, -1}, {12, 16, 20, -1}, {12, 16, 21, -1}, {12, 16, 22, -1}, {12, 16, 23, -1}, {12, 17, 18, -1}, {12, 17, 19, -1}, {12, 17, 20, -1}, {12, 17, 21, -1}, {12, 17, 22, -1}, {12, 17, 23, -1}, {12, 18, 19, -1}, {12, 18, 20, -1}, {12, 18, 21, -1}, {12, 18, 22, -1}, {12, 18, 23, -1}, {12, 19, 20, -1}, {12, 19, 21, -1}, {12, 19, 22, -1}, {12, 19, 23, -1}, {12, 20, 21, -1}, {12, 20, 22, -1}, {12, 20, 23, -1}, {12, 21, 22, -1}, {12, 21, 23, -1}, {12, 22, 23, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 14, 18, -1}, {13, 14, 19, -1}, {13, 14, 20, -1}, {13, 14, 21, -1}, {13, 14, 22, -1}, {13, 14, 23, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 15, 18, -1}, {13, 15, 19, -1}, {13, 15, 20, -1}, {13, 15, 21, -1}, {13, 15, 22, -1}, {13, 15, 23, -1}, {13, 16, 17, -1}, {13, 16, 18, -1}, {13, 16, 19, -1}, {13, 16, 20, -1}, {13, 16, 21, -1}, {13, 16, 22, -1}, {13, 16, 23, -1}, {13, 17, 18, -1}, {13, 17, 19, -1}, {13, 17, 20, -1}, {13, 17, 21, -1}, {13, 17, 22, -1}, {13, 17, 23, -1}, {13, 18, 19, -1}, {13, 18, 20, -1}, {13, 18, 21, -1}, {13, 18, 22, -1}, {13, 18, 23, -1}, {13, 19, 20, -1}, {13, 19, 21, -1}, {13, 19, 22, -1}, {13, 19, 23, -1}, {13, 20, 21, -1}, {13, 20, 22, -1}, {13, 20, 23, -1}, {13, 21, 22, -1}, {13, 21, 23, -1}, {13, 22, 23, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 15, 18, -1}, {14, 15, 19, -1}, {14, 15, 20, -1}, {14, 15, 21, -1}, {14, 15, 22, -1}, {14, 15, 23, -1}, {14, 16, 17, -1}, {14, 16, 18, -1}, {14, 16, 19, -1}, {14, 16, 20, -1}, {14, 16, 21, -1}, {14, 16, 22, -1}, {14, 16, 23, -1}, {14, 17, 18, -1}, {14, 17, 19, -1}, {14, 17, 20, -1}, {14, 17, 21, -1}, {14, 17, 22, -1}, {14, 17, 23, -1}, {14, 18, 19, -1}, {14, 18, 20, -1}, {14, 18, 21, -1}, {14, 18, 22, -1}, {14, 18, 23, -1}, {14, 19, 20, -1}, {14, 19, 21, -1}, {14, 19, 22, -1}, {14, 19, 23, -1}, {14, 20, 21, -1}, {14, 20, 22, -1}, {14, 20, 23, -1}, {14, 21, 22, -1}, {14, 21, 23, -1}, {14, 22, 23, -1}, {15, 16, 17, -1}, {15, 16, 18, -1}, {15, 16, 19, -1}, {15, 16, 20, -1}, {15, 16, 21, -1}, {15, 16, 22, -1}, {15, 16, 23, -1}, {15, 17, 18, -1}, {15, 17, 19, -1}, {15, 17, 20, -1}, {15, 17, 21, -1}, {15, 17, 22, -1}, {15, 17, 23, -1}, {15, 18, 19, -1}, {15, 18, 20, -1}, {15, 18, 21, -1}, {15, 18, 22, -1}, {15, 18, 23, -1}, {15, 19, 20, -1}, {15, 19, 21, -1}, {15, 19, 22, -1}, {15, 19, 23, -1}, {15, 20, 21, -1}, {15, 20, 22, -1}, {15, 20, 23, -1}, {15, 21, 22, -1}, {15, 21, 23, -1}, {15, 22, 23, -1}, {16, 17, 18, -1}, {16, 17, 19, -1}, {16, 17, 20, -1}, {16, 17, 21, -1}, {16, 17, 22, -1}, {16, 17, 23, -1}, {16, 18, 19, -1}, {16, 18, 20, -1}, {16, 18, 21, -1}, {16, 18, 22, -1}, {16, 18, 23, -1}, {16, 19, 20, -1}, {16, 19, 21, -1}, {16, 19, 22, -1}, {16, 19, 23, -1}, {16, 20, 21, -1}, {16, 20, 22, -1}, {16, 20, 23, -1}, {16, 21, 22, -1}, {16, 21, 23, -1}, {16, 22, 23, -1}, {17, 18, 19, -1}, {17, 18, 20, -1}, {17, 18, 21, -1}, {17, 18, 22, -1}, {17, 18, 23, -1}, {17, 19, 20, -1}, {17, 19, 21, -1}, {17, 19, 22, -1}, {17, 19, 23, -1}, {17, 20, 21, -1}, {17, 20, 22, -1}, {17, 20, 23, -1}, {17, 21, 22, -1}, {17, 21, 23, -1}, {17, 22, 23, -1}, {18, 19, 20, -1}, {18, 19, 21, -1}, {18, 19, 22, -1}, {18, 19, 23, -1}, {18, 20, 21, -1}, {18, 20, 22, -1}, {18, 20, 23, -1}, {18, 21, 22, -1}, {18, 21, 23, -1}, {18, 22, 23, -1}, {19, 20, 21, -1}, {19, 20, 22, -1}, {19, 20, 23, -1}, {19, 21, 22, -1}, {19, 21, 23, -1}, {19, 22, 23, -1}, {20, 21, 22, -1}, {20, 21, 23, -1}, {20, 22, 23, -1}, {21, 22, 23, -1}} ;
+#define NUM_25_3_COMBS 325
+int failure_combs_25_3[NUM_25_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {23, -1, -1, -1}, {24, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {0, 23, -1, -1}, {0, 24, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {1, 23, -1, -1}, {1, 24, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {2, 23, -1, -1}, {2, 24, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {3, 23, -1, -1}, {3, 24, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {4, 23, -1, -1}, {4, 24, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {5, 23, -1, -1}, {5, 24, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {6, 23, -1, -1}, {6, 24, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {7, 23, -1, -1}, {7, 24, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {8, 22, -1, -1}, {8, 23, -1, -1}, {8, 24, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {9, 22, -1, -1}, {9, 23, -1, -1}, {9, 24, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {10, 22, -1, -1}, {10, 23, -1, -1}, {10, 24, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {11, 22, -1, -1}, {11, 23, -1, -1}, {11, 24, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {12, 22, -1, -1}, {12, 23, -1, -1}, {12, 24, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {13, 22, -1, -1}, {13, 23, -1, -1}, {13, 24, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {14, 22, -1, -1}, {14, 23, -1, -1}, {14, 24, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {15, 22, -1, -1}, {15, 23, -1, -1}, {15, 24, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {16, 22, -1, -1}, {16, 23, -1, -1}, {16, 24, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {17, 22, -1, -1}, {17, 23, -1, -1}, {17, 24, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {18, 22, -1, -1}, {18, 23, -1, -1}, {18, 24, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {19, 22, -1, -1}, {19, 23, -1, -1}, {19, 24, -1, -1}, {20, 21, -1, -1}, {20, 22, -1, -1}, {20, 23, -1, -1}, {20, 24, -1, -1}, {21, 22, -1, -1}, {21, 23, -1, -1}, {21, 24, -1, -1}, {22, 23, -1, -1}, {22, 24, -1, -1}, {23, 24, -1, -1}} ;
+#define NUM_25_4_COMBS 2625
+int failure_combs_25_4[NUM_25_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {23, -1, -1, -1}, {24, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {0, 23, -1, -1}, {0, 24, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {1, 23, -1, -1}, {1, 24, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {2, 23, -1, -1}, {2, 24, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {3, 23, -1, -1}, {3, 24, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {4, 23, -1, -1}, {4, 24, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {5, 23, -1, -1}, {5, 24, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {6, 23, -1, -1}, {6, 24, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {7, 23, -1, -1}, {7, 24, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {8, 22, -1, -1}, {8, 23, -1, -1}, {8, 24, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {9, 22, -1, -1}, {9, 23, -1, -1}, {9, 24, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {10, 22, -1, -1}, {10, 23, -1, -1}, {10, 24, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {11, 22, -1, -1}, {11, 23, -1, -1}, {11, 24, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {12, 22, -1, -1}, {12, 23, -1, -1}, {12, 24, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {13, 22, -1, -1}, {13, 23, -1, -1}, {13, 24, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {14, 22, -1, -1}, {14, 23, -1, -1}, {14, 24, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {15, 22, -1, -1}, {15, 23, -1, -1}, {15, 24, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {16, 22, -1, -1}, {16, 23, -1, -1}, {16, 24, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {17, 22, -1, -1}, {17, 23, -1, -1}, {17, 24, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {18, 22, -1, -1}, {18, 23, -1, -1}, {18, 24, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {19, 22, -1, -1}, {19, 23, -1, -1}, {19, 24, -1, -1}, {20, 21, -1, -1}, {20, 22, -1, -1}, {20, 23, -1, -1}, {20, 24, -1, -1}, {21, 22, -1, -1}, {21, 23, -1, -1}, {21, 24, -1, -1}, {22, 23, -1, -1}, {22, 24, -1, -1}, {23, 24, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 1, 17, -1}, {0, 1, 18, -1}, {0, 1, 19, -1}, {0, 1, 20, -1}, {0, 1, 21, -1}, {0, 1, 22, -1}, {0, 1, 23, -1}, {0, 1, 24, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 2, 17, -1}, {0, 2, 18, -1}, {0, 2, 19, -1}, {0, 2, 20, -1}, {0, 2, 21, -1}, {0, 2, 22, -1}, {0, 2, 23, -1}, {0, 2, 24, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 3, 16, -1}, {0, 3, 17, -1}, {0, 3, 18, -1}, {0, 3, 19, -1}, {0, 3, 20, -1}, {0, 3, 21, -1}, {0, 3, 22, -1}, {0, 3, 23, -1}, {0, 3, 24, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 4, 16, -1}, {0, 4, 17, -1}, {0, 4, 18, -1}, {0, 4, 19, -1}, {0, 4, 20, -1}, {0, 4, 21, -1}, {0, 4, 22, -1}, {0, 4, 23, -1}, {0, 4, 24, 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-1}, {11, 20, 21, -1}, {11, 20, 22, -1}, {11, 20, 23, -1}, {11, 20, 24, -1}, {11, 21, 22, -1}, {11, 21, 23, -1}, {11, 21, 24, -1}, {11, 22, 23, -1}, {11, 22, 24, -1}, {11, 23, 24, -1}, {12, 13, 14, -1}, {12, 13, 15, -1}, {12, 13, 16, -1}, {12, 13, 17, -1}, {12, 13, 18, -1}, {12, 13, 19, -1}, {12, 13, 20, -1}, {12, 13, 21, -1}, {12, 13, 22, -1}, {12, 13, 23, -1}, {12, 13, 24, -1}, {12, 14, 15, -1}, {12, 14, 16, -1}, {12, 14, 17, -1}, {12, 14, 18, -1}, {12, 14, 19, -1}, {12, 14, 20, -1}, {12, 14, 21, -1}, {12, 14, 22, -1}, {12, 14, 23, -1}, {12, 14, 24, -1}, {12, 15, 16, -1}, {12, 15, 17, -1}, {12, 15, 18, -1}, {12, 15, 19, -1}, {12, 15, 20, -1}, {12, 15, 21, -1}, {12, 15, 22, -1}, {12, 15, 23, -1}, {12, 15, 24, -1}, {12, 16, 17, -1}, {12, 16, 18, -1}, {12, 16, 19, -1}, {12, 16, 20, -1}, {12, 16, 21, -1}, {12, 16, 22, -1}, {12, 16, 23, -1}, {12, 16, 24, -1}, {12, 17, 18, -1}, {12, 17, 19, -1}, {12, 17, 20, -1}, {12, 17, 21, -1}, {12, 17, 22, -1}, {12, 17, 23, -1}, {12, 17, 24, -1}, {12, 18, 19, -1}, {12, 18, 20, -1}, {12, 18, 21, -1}, {12, 18, 22, -1}, {12, 18, 23, -1}, {12, 18, 24, -1}, {12, 19, 20, -1}, {12, 19, 21, -1}, {12, 19, 22, -1}, {12, 19, 23, -1}, {12, 19, 24, -1}, {12, 20, 21, -1}, {12, 20, 22, -1}, {12, 20, 23, -1}, {12, 20, 24, -1}, {12, 21, 22, -1}, {12, 21, 23, -1}, {12, 21, 24, -1}, {12, 22, 23, -1}, {12, 22, 24, -1}, {12, 23, 24, -1}, {13, 14, 15, -1}, {13, 14, 16, -1}, {13, 14, 17, -1}, {13, 14, 18, -1}, {13, 14, 19, -1}, {13, 14, 20, -1}, {13, 14, 21, -1}, {13, 14, 22, -1}, {13, 14, 23, -1}, {13, 14, 24, -1}, {13, 15, 16, -1}, {13, 15, 17, -1}, {13, 15, 18, -1}, {13, 15, 19, -1}, {13, 15, 20, -1}, {13, 15, 21, -1}, {13, 15, 22, -1}, {13, 15, 23, -1}, {13, 15, 24, -1}, {13, 16, 17, -1}, {13, 16, 18, -1}, {13, 16, 19, -1}, {13, 16, 20, -1}, {13, 16, 21, -1}, {13, 16, 22, -1}, {13, 16, 23, -1}, {13, 16, 24, -1}, {13, 17, 18, -1}, {13, 17, 19, -1}, {13, 17, 20, -1}, {13, 17, 21, -1}, {13, 17, 22, -1}, {13, 17, 23, -1}, {13, 17, 24, -1}, {13, 18, 19, -1}, {13, 18, 20, -1}, {13, 18, 21, -1}, {13, 18, 22, -1}, {13, 18, 23, -1}, {13, 18, 24, -1}, {13, 19, 20, -1}, {13, 19, 21, -1}, {13, 19, 22, -1}, {13, 19, 23, -1}, {13, 19, 24, -1}, {13, 20, 21, -1}, {13, 20, 22, -1}, {13, 20, 23, -1}, {13, 20, 24, -1}, {13, 21, 22, -1}, {13, 21, 23, -1}, {13, 21, 24, -1}, {13, 22, 23, -1}, {13, 22, 24, -1}, {13, 23, 24, -1}, {14, 15, 16, -1}, {14, 15, 17, -1}, {14, 15, 18, -1}, {14, 15, 19, -1}, {14, 15, 20, -1}, {14, 15, 21, -1}, {14, 15, 22, -1}, {14, 15, 23, -1}, {14, 15, 24, -1}, {14, 16, 17, -1}, {14, 16, 18, -1}, {14, 16, 19, -1}, {14, 16, 20, -1}, {14, 16, 21, -1}, {14, 16, 22, -1}, {14, 16, 23, -1}, {14, 16, 24, -1}, {14, 17, 18, -1}, {14, 17, 19, -1}, {14, 17, 20, -1}, {14, 17, 21, -1}, {14, 17, 22, -1}, {14, 17, 23, -1}, {14, 17, 24, -1}, {14, 18, 19, -1}, {14, 18, 20, -1}, {14, 18, 21, -1}, {14, 18, 22, -1}, {14, 18, 23, -1}, {14, 18, 24, -1}, {14, 19, 20, -1}, {14, 19, 21, -1}, {14, 19, 22, -1}, {14, 19, 23, -1}, {14, 19, 24, -1}, {14, 20, 21, -1}, {14, 20, 22, -1}, {14, 20, 23, -1}, {14, 20, 24, -1}, {14, 21, 22, -1}, {14, 21, 23, -1}, {14, 21, 24, -1}, {14, 22, 23, -1}, {14, 22, 24, -1}, {14, 23, 24, -1}, {15, 16, 17, -1}, {15, 16, 18, -1}, {15, 16, 19, -1}, {15, 16, 20, -1}, {15, 16, 21, -1}, {15, 16, 22, -1}, {15, 16, 23, -1}, {15, 16, 24, -1}, {15, 17, 18, -1}, {15, 17, 19, -1}, {15, 17, 20, -1}, {15, 17, 21, -1}, {15, 17, 22, -1}, {15, 17, 23, -1}, {15, 17, 24, -1}, {15, 18, 19, -1}, {15, 18, 20, -1}, {15, 18, 21, -1}, {15, 18, 22, -1}, {15, 18, 23, -1}, {15, 18, 24, -1}, {15, 19, 20, -1}, {15, 19, 21, -1}, {15, 19, 22, -1}, {15, 19, 23, -1}, {15, 19, 24, -1}, {15, 20, 21, -1}, {15, 20, 22, -1}, {15, 20, 23, -1}, {15, 20, 24, -1}, {15, 21, 22, -1}, {15, 21, 23, -1}, {15, 21, 24, -1}, {15, 22, 23, -1}, {15, 22, 24, -1}, {15, 23, 24, -1}, {16, 17, 18, -1}, {16, 17, 19, -1}, {16, 17, 20, -1}, {16, 17, 21, -1}, {16, 17, 22, -1}, {16, 17, 23, -1}, {16, 17, 24, -1}, {16, 18, 19, -1}, {16, 18, 20, -1}, {16, 18, 21, -1}, {16, 18, 22, -1}, {16, 18, 23, -1}, {16, 18, 24, -1}, {16, 19, 20, -1}, {16, 19, 21, -1}, {16, 19, 22, -1}, {16, 19, 23, -1}, {16, 19, 24, -1}, {16, 20, 21, -1}, {16, 20, 22, -1}, {16, 20, 23, -1}, {16, 20, 24, -1}, {16, 21, 22, -1}, {16, 21, 23, -1}, {16, 21, 24, -1}, {16, 22, 23, -1}, {16, 22, 24, -1}, {16, 23, 24, -1}, {17, 18, 19, -1}, {17, 18, 20, -1}, {17, 18, 21, -1}, {17, 18, 22, -1}, {17, 18, 23, -1}, {17, 18, 24, -1}, {17, 19, 20, -1}, {17, 19, 21, -1}, {17, 19, 22, -1}, {17, 19, 23, -1}, {17, 19, 24, -1}, {17, 20, 21, -1}, {17, 20, 22, -1}, {17, 20, 23, -1}, {17, 20, 24, -1}, {17, 21, 22, -1}, {17, 21, 23, -1}, {17, 21, 24, -1}, {17, 22, 23, -1}, {17, 22, 24, -1}, {17, 23, 24, -1}, {18, 19, 20, -1}, {18, 19, 21, -1}, {18, 19, 22, -1}, {18, 19, 23, -1}, {18, 19, 24, -1}, {18, 20, 21, -1}, {18, 20, 22, -1}, {18, 20, 23, -1}, {18, 20, 24, -1}, {18, 21, 22, -1}, {18, 21, 23, -1}, {18, 21, 24, -1}, {18, 22, 23, -1}, {18, 22, 24, -1}, {18, 23, 24, -1}, {19, 20, 21, -1}, {19, 20, 22, -1}, {19, 20, 23, -1}, {19, 20, 24, -1}, {19, 21, 22, -1}, {19, 21, 23, -1}, {19, 21, 24, -1}, {19, 22, 23, -1}, {19, 22, 24, -1}, {19, 23, 24, -1}, {20, 21, 22, -1}, {20, 21, 23, -1}, {20, 21, 24, -1}, {20, 22, 23, -1}, {20, 22, 24, -1}, {20, 23, 24, -1}, {21, 22, 23, -1}, {21, 22, 24, -1}, {21, 23, 24, -1}, {22, 23, 24, -1}} ;
+#define NUM_26_3_COMBS 351
+int failure_combs_26_3[NUM_26_3_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {23, -1, -1, -1}, {24, -1, -1, -1}, {25, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {0, 23, -1, -1}, {0, 24, -1, -1}, {0, 25, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {1, 23, -1, -1}, {1, 24, -1, -1}, {1, 25, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {2, 23, -1, -1}, {2, 24, -1, -1}, {2, 25, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {3, 23, -1, -1}, {3, 24, -1, -1}, {3, 25, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {4, 23, -1, -1}, {4, 24, -1, -1}, {4, 25, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {5, 23, -1, -1}, {5, 24, -1, -1}, {5, 25, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {6, 23, -1, -1}, {6, 24, -1, -1}, {6, 25, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {7, 23, -1, -1}, {7, 24, -1, -1}, {7, 25, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {8, 22, -1, -1}, {8, 23, -1, -1}, {8, 24, -1, -1}, {8, 25, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {9, 22, -1, -1}, {9, 23, -1, -1}, {9, 24, -1, -1}, {9, 25, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {10, 22, -1, -1}, {10, 23, -1, -1}, {10, 24, -1, -1}, {10, 25, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {11, 22, -1, -1}, {11, 23, -1, -1}, {11, 24, -1, -1}, {11, 25, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {12, 22, -1, -1}, {12, 23, -1, -1}, {12, 24, -1, -1}, {12, 25, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {13, 22, -1, -1}, {13, 23, -1, -1}, {13, 24, -1, -1}, {13, 25, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {14, 22, -1, -1}, {14, 23, -1, -1}, {14, 24, -1, -1}, {14, 25, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {15, 22, -1, -1}, {15, 23, -1, -1}, {15, 24, -1, -1}, {15, 25, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {16, 22, -1, -1}, {16, 23, -1, -1}, {16, 24, -1, -1}, {16, 25, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {17, 22, -1, -1}, {17, 23, -1, -1}, {17, 24, -1, -1}, {17, 25, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {18, 22, -1, -1}, {18, 23, -1, -1}, {18, 24, -1, -1}, {18, 25, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {19, 22, -1, -1}, {19, 23, -1, -1}, {19, 24, -1, -1}, {19, 25, -1, -1}, {20, 21, -1, -1}, {20, 22, -1, -1}, {20, 23, -1, -1}, {20, 24, -1, -1}, {20, 25, -1, -1}, {21, 22, -1, -1}, {21, 23, -1, -1}, {21, 24, -1, -1}, {21, 25, -1, -1}, {22, 23, -1, -1}, {22, 24, -1, -1}, {22, 25, -1, -1}, {23, 24, -1, -1}, {23, 25, -1, -1}, {24, 25, -1, -1}} ;
+#define NUM_26_4_COMBS 2951
+int failure_combs_26_4[NUM_26_4_COMBS][4] =  {{0, -1, -1, -1}, {1, -1, -1, -1}, {2, -1, -1, -1}, {3, -1, -1, -1}, {4, -1, -1, -1}, {5, -1, -1, -1}, {6, -1, -1, -1}, {7, -1, -1, -1}, {8, -1, -1, -1}, {9, -1, -1, -1}, {10, -1, -1, -1}, {11, -1, -1, -1}, {12, -1, -1, -1}, {13, -1, -1, -1}, {14, -1, -1, -1}, {15, -1, -1, -1}, {16, -1, -1, -1}, {17, -1, -1, -1}, {18, -1, -1, -1}, {19, -1, -1, -1}, {20, -1, -1, -1}, {21, -1, -1, -1}, {22, -1, -1, -1}, {23, -1, -1, -1}, {24, -1, -1, -1}, {25, -1, -1, -1}, {0, 1, -1, -1}, {0, 2, -1, -1}, {0, 3, -1, -1}, {0, 4, -1, -1}, {0, 5, -1, -1}, {0, 6, -1, -1}, {0, 7, -1, -1}, {0, 8, -1, -1}, {0, 9, -1, -1}, {0, 10, -1, -1}, {0, 11, -1, -1}, {0, 12, -1, -1}, {0, 13, -1, -1}, {0, 14, -1, -1}, {0, 15, -1, -1}, {0, 16, -1, -1}, {0, 17, -1, -1}, {0, 18, -1, -1}, {0, 19, -1, -1}, {0, 20, -1, -1}, {0, 21, -1, -1}, {0, 22, -1, -1}, {0, 23, -1, -1}, {0, 24, -1, -1}, {0, 25, -1, -1}, {1, 2, -1, -1}, {1, 3, -1, -1}, {1, 4, -1, -1}, {1, 5, -1, -1}, {1, 6, -1, -1}, {1, 7, -1, -1}, {1, 8, -1, -1}, {1, 9, -1, -1}, {1, 10, -1, -1}, {1, 11, -1, -1}, {1, 12, -1, -1}, {1, 13, -1, -1}, {1, 14, -1, -1}, {1, 15, -1, -1}, {1, 16, -1, -1}, {1, 17, -1, -1}, {1, 18, -1, -1}, {1, 19, -1, -1}, {1, 20, -1, -1}, {1, 21, -1, -1}, {1, 22, -1, -1}, {1, 23, -1, -1}, {1, 24, -1, -1}, {1, 25, -1, -1}, {2, 3, -1, -1}, {2, 4, -1, -1}, {2, 5, -1, -1}, {2, 6, -1, -1}, {2, 7, -1, -1}, {2, 8, -1, -1}, {2, 9, -1, -1}, {2, 10, -1, -1}, {2, 11, -1, -1}, {2, 12, -1, -1}, {2, 13, -1, -1}, {2, 14, -1, -1}, {2, 15, -1, -1}, {2, 16, -1, -1}, {2, 17, -1, -1}, {2, 18, -1, -1}, {2, 19, -1, -1}, {2, 20, -1, -1}, {2, 21, -1, -1}, {2, 22, -1, -1}, {2, 23, -1, -1}, {2, 24, -1, -1}, {2, 25, -1, -1}, {3, 4, -1, -1}, {3, 5, -1, -1}, {3, 6, -1, -1}, {3, 7, -1, -1}, {3, 8, -1, -1}, {3, 9, -1, -1}, {3, 10, -1, -1}, {3, 11, -1, -1}, {3, 12, -1, -1}, {3, 13, -1, -1}, {3, 14, -1, -1}, {3, 15, -1, -1}, {3, 16, -1, -1}, {3, 17, -1, -1}, {3, 18, -1, -1}, {3, 19, -1, -1}, {3, 20, -1, -1}, {3, 21, -1, -1}, {3, 22, -1, -1}, {3, 23, -1, -1}, {3, 24, -1, -1}, {3, 25, -1, -1}, {4, 5, -1, -1}, {4, 6, -1, -1}, {4, 7, -1, -1}, {4, 8, -1, -1}, {4, 9, -1, -1}, {4, 10, -1, -1}, {4, 11, -1, -1}, {4, 12, -1, -1}, {4, 13, -1, -1}, {4, 14, -1, -1}, {4, 15, -1, -1}, {4, 16, -1, -1}, {4, 17, -1, -1}, {4, 18, -1, -1}, {4, 19, -1, -1}, {4, 20, -1, -1}, {4, 21, -1, -1}, {4, 22, -1, -1}, {4, 23, -1, -1}, {4, 24, -1, -1}, {4, 25, -1, -1}, {5, 6, -1, -1}, {5, 7, -1, -1}, {5, 8, -1, -1}, {5, 9, -1, -1}, {5, 10, -1, -1}, {5, 11, -1, -1}, {5, 12, -1, -1}, {5, 13, -1, -1}, {5, 14, -1, -1}, {5, 15, -1, -1}, {5, 16, -1, -1}, {5, 17, -1, -1}, {5, 18, -1, -1}, {5, 19, -1, -1}, {5, 20, -1, -1}, {5, 21, -1, -1}, {5, 22, -1, -1}, {5, 23, -1, -1}, {5, 24, -1, -1}, {5, 25, -1, -1}, {6, 7, -1, -1}, {6, 8, -1, -1}, {6, 9, -1, -1}, {6, 10, -1, -1}, {6, 11, -1, -1}, {6, 12, -1, -1}, {6, 13, -1, -1}, {6, 14, -1, -1}, {6, 15, -1, -1}, {6, 16, -1, -1}, {6, 17, -1, -1}, {6, 18, -1, -1}, {6, 19, -1, -1}, {6, 20, -1, -1}, {6, 21, -1, -1}, {6, 22, -1, -1}, {6, 23, -1, -1}, {6, 24, -1, -1}, {6, 25, -1, -1}, {7, 8, -1, -1}, {7, 9, -1, -1}, {7, 10, -1, -1}, {7, 11, -1, -1}, {7, 12, -1, -1}, {7, 13, -1, -1}, {7, 14, -1, -1}, {7, 15, -1, -1}, {7, 16, -1, -1}, {7, 17, -1, -1}, {7, 18, -1, -1}, {7, 19, -1, -1}, {7, 20, -1, -1}, {7, 21, -1, -1}, {7, 22, -1, -1}, {7, 23, -1, -1}, {7, 24, -1, -1}, {7, 25, -1, -1}, {8, 9, -1, -1}, {8, 10, -1, -1}, {8, 11, -1, -1}, {8, 12, -1, -1}, {8, 13, -1, -1}, {8, 14, -1, -1}, {8, 15, -1, -1}, {8, 16, -1, -1}, {8, 17, -1, -1}, {8, 18, -1, -1}, {8, 19, -1, -1}, {8, 20, -1, -1}, {8, 21, -1, -1}, {8, 22, -1, -1}, {8, 23, -1, -1}, {8, 24, -1, -1}, {8, 25, -1, -1}, {9, 10, -1, -1}, {9, 11, -1, -1}, {9, 12, -1, -1}, {9, 13, -1, -1}, {9, 14, -1, -1}, {9, 15, -1, -1}, {9, 16, -1, -1}, {9, 17, -1, -1}, {9, 18, -1, -1}, {9, 19, -1, -1}, {9, 20, -1, -1}, {9, 21, -1, -1}, {9, 22, -1, -1}, {9, 23, -1, -1}, {9, 24, -1, -1}, {9, 25, -1, -1}, {10, 11, -1, -1}, {10, 12, -1, -1}, {10, 13, -1, -1}, {10, 14, -1, -1}, {10, 15, -1, -1}, {10, 16, -1, -1}, {10, 17, -1, -1}, {10, 18, -1, -1}, {10, 19, -1, -1}, {10, 20, -1, -1}, {10, 21, -1, -1}, {10, 22, -1, -1}, {10, 23, -1, -1}, {10, 24, -1, -1}, {10, 25, -1, -1}, {11, 12, -1, -1}, {11, 13, -1, -1}, {11, 14, -1, -1}, {11, 15, -1, -1}, {11, 16, -1, -1}, {11, 17, -1, -1}, {11, 18, -1, -1}, {11, 19, -1, -1}, {11, 20, -1, -1}, {11, 21, -1, -1}, {11, 22, -1, -1}, {11, 23, -1, -1}, {11, 24, -1, -1}, {11, 25, -1, -1}, {12, 13, -1, -1}, {12, 14, -1, -1}, {12, 15, -1, -1}, {12, 16, -1, -1}, {12, 17, -1, -1}, {12, 18, -1, -1}, {12, 19, -1, -1}, {12, 20, -1, -1}, {12, 21, -1, -1}, {12, 22, -1, -1}, {12, 23, -1, -1}, {12, 24, -1, -1}, {12, 25, -1, -1}, {13, 14, -1, -1}, {13, 15, -1, -1}, {13, 16, -1, -1}, {13, 17, -1, -1}, {13, 18, -1, -1}, {13, 19, -1, -1}, {13, 20, -1, -1}, {13, 21, -1, -1}, {13, 22, -1, -1}, {13, 23, -1, -1}, {13, 24, -1, -1}, {13, 25, -1, -1}, {14, 15, -1, -1}, {14, 16, -1, -1}, {14, 17, -1, -1}, {14, 18, -1, -1}, {14, 19, -1, -1}, {14, 20, -1, -1}, {14, 21, -1, -1}, {14, 22, -1, -1}, {14, 23, -1, -1}, {14, 24, -1, -1}, {14, 25, -1, -1}, {15, 16, -1, -1}, {15, 17, -1, -1}, {15, 18, -1, -1}, {15, 19, -1, -1}, {15, 20, -1, -1}, {15, 21, -1, -1}, {15, 22, -1, -1}, {15, 23, -1, -1}, {15, 24, -1, -1}, {15, 25, -1, -1}, {16, 17, -1, -1}, {16, 18, -1, -1}, {16, 19, -1, -1}, {16, 20, -1, -1}, {16, 21, -1, -1}, {16, 22, -1, -1}, {16, 23, -1, -1}, {16, 24, -1, -1}, {16, 25, -1, -1}, {17, 18, -1, -1}, {17, 19, -1, -1}, {17, 20, -1, -1}, {17, 21, -1, -1}, {17, 22, -1, -1}, {17, 23, -1, -1}, {17, 24, -1, -1}, {17, 25, -1, -1}, {18, 19, -1, -1}, {18, 20, -1, -1}, {18, 21, -1, -1}, {18, 22, -1, -1}, {18, 23, -1, -1}, {18, 24, -1, -1}, {18, 25, -1, -1}, {19, 20, -1, -1}, {19, 21, -1, -1}, {19, 22, -1, -1}, {19, 23, -1, -1}, {19, 24, -1, -1}, {19, 25, -1, -1}, {20, 21, -1, -1}, {20, 22, -1, -1}, {20, 23, -1, -1}, {20, 24, -1, -1}, {20, 25, -1, -1}, {21, 22, -1, -1}, {21, 23, -1, -1}, {21, 24, -1, -1}, {21, 25, -1, -1}, {22, 23, -1, -1}, {22, 24, -1, -1}, {22, 25, -1, -1}, {23, 24, -1, -1}, {23, 25, -1, -1}, {24, 25, -1, -1}, {0, 1, 2, -1}, {0, 1, 3, -1}, {0, 1, 4, -1}, {0, 1, 5, -1}, {0, 1, 6, -1}, {0, 1, 7, -1}, {0, 1, 8, -1}, {0, 1, 9, -1}, {0, 1, 10, -1}, {0, 1, 11, -1}, {0, 1, 12, -1}, {0, 1, 13, -1}, {0, 1, 14, -1}, {0, 1, 15, -1}, {0, 1, 16, -1}, {0, 1, 17, -1}, {0, 1, 18, -1}, {0, 1, 19, -1}, {0, 1, 20, -1}, {0, 1, 21, -1}, {0, 1, 22, -1}, {0, 1, 23, -1}, {0, 1, 24, -1}, {0, 1, 25, -1}, {0, 2, 3, -1}, {0, 2, 4, -1}, {0, 2, 5, -1}, {0, 2, 6, -1}, {0, 2, 7, -1}, {0, 2, 8, -1}, {0, 2, 9, -1}, {0, 2, 10, -1}, {0, 2, 11, -1}, {0, 2, 12, -1}, {0, 2, 13, -1}, {0, 2, 14, -1}, {0, 2, 15, -1}, {0, 2, 16, -1}, {0, 2, 17, -1}, {0, 2, 18, -1}, {0, 2, 19, -1}, {0, 2, 20, -1}, {0, 2, 21, -1}, {0, 2, 22, -1}, {0, 2, 23, -1}, {0, 2, 24, -1}, {0, 2, 25, -1}, {0, 3, 4, -1}, {0, 3, 5, -1}, {0, 3, 6, -1}, {0, 3, 7, -1}, {0, 3, 8, -1}, {0, 3, 9, -1}, {0, 3, 10, -1}, {0, 3, 11, -1}, {0, 3, 12, -1}, {0, 3, 13, -1}, {0, 3, 14, -1}, {0, 3, 15, -1}, {0, 3, 16, -1}, {0, 3, 17, -1}, {0, 3, 18, -1}, {0, 3, 19, -1}, {0, 3, 20, -1}, {0, 3, 21, -1}, {0, 3, 22, -1}, {0, 3, 23, -1}, {0, 3, 24, -1}, {0, 3, 25, -1}, {0, 4, 5, -1}, {0, 4, 6, -1}, {0, 4, 7, -1}, {0, 4, 8, -1}, {0, 4, 9, -1}, {0, 4, 10, -1}, {0, 4, 11, -1}, {0, 4, 12, -1}, {0, 4, 13, -1}, {0, 4, 14, -1}, {0, 4, 15, -1}, {0, 4, 16, -1}, {0, 4, 17, -1}, {0, 4, 18, -1}, {0, 4, 19, -1}, {0, 4, 20, -1}, {0, 4, 21, -1}, {0, 4, 22, -1}, {0, 4, 23, -1}, {0, 4, 24, -1}, {0, 4, 25, -1}, {0, 5, 6, -1}, {0, 5, 7, -1}, {0, 5, 8, -1}, {0, 5, 9, -1}, {0, 5, 10, -1}, {0, 5, 11, -1}, {0, 5, 12, -1}, {0, 5, 13, -1}, {0, 5, 14, -1}, {0, 5, 15, -1}, {0, 5, 16, -1}, {0, 5, 17, -1}, {0, 5, 18, -1}, {0, 5, 19, -1}, {0, 5, 20, -1}, {0, 5, 21, -1}, {0, 5, 22, -1}, {0, 5, 23, -1}, {0, 5, 24, -1}, {0, 5, 25, -1}, {0, 6, 7, -1}, {0, 6, 8, -1}, {0, 6, 9, -1}, {0, 6, 10, -1}, {0, 6, 11, -1}, {0, 6, 12, -1}, {0, 6, 13, -1}, {0, 6, 14, -1}, {0, 6, 15, -1}, {0, 6, 16, -1}, {0, 6, 17, -1}, {0, 6, 18, -1}, {0, 6, 19, -1}, {0, 6, 20, -1}, {0, 6, 21, -1}, {0, 6, 22, -1}, {0, 6, 23, -1}, {0, 6, 24, -1}, {0, 6, 25, -1}, {0, 7, 8, -1}, {0, 7, 9, -1}, {0, 7, 10, -1}, {0, 7, 11, -1}, {0, 7, 12, -1}, {0, 7, 13, -1}, {0, 7, 14, -1}, {0, 7, 15, -1}, {0, 7, 16, -1}, {0, 7, 17, -1}, {0, 7, 18, -1}, {0, 7, 19, -1}, {0, 7, 20, -1}, {0, 7, 21, -1}, {0, 7, 22, -1}, {0, 7, 23, -1}, {0, 7, 24, -1}, {0, 7, 25, -1}, {0, 8, 9, -1}, {0, 8, 10, -1}, {0, 8, 11, -1}, {0, 8, 12, -1}, {0, 8, 13, -1}, {0, 8, 14, -1}, {0, 8, 15, -1}, {0, 8, 16, -1}, {0, 8, 17, -1}, {0, 8, 18, -1}, {0, 8, 19, -1}, {0, 8, 20, -1}, {0, 8, 21, -1}, {0, 8, 22, -1}, {0, 8, 23, -1}, {0, 8, 24, -1}, {0, 8, 25, -1}, {0, 9, 10, -1}, {0, 9, 11, -1}, {0, 9, 12, -1}, {0, 9, 13, -1}, {0, 9, 14, -1}, {0, 9, 15, -1}, {0, 9, 16, -1}, {0, 9, 17, -1}, {0, 9, 18, -1}, {0, 9, 19, -1}, {0, 9, 20, -1}, {0, 9, 21, -1}, {0, 9, 22, -1}, {0, 9, 23, -1}, {0, 9, 24, -1}, {0, 9, 25, -1}, {0, 10, 11, -1}, {0, 10, 12, -1}, {0, 10, 13, -1}, {0, 10, 14, -1}, {0, 10, 15, -1}, {0, 10, 16, -1}, {0, 10, 17, -1}, {0, 10, 18, -1}, {0, 10, 19, -1}, {0, 10, 20, -1}, {0, 10, 21, -1}, {0, 10, 22, -1}, {0, 10, 23, -1}, {0, 10, 24, -1}, {0, 10, 25, -1}, {0, 11, 12, -1}, {0, 11, 13, -1}, {0, 11, 14, -1}, {0, 11, 15, -1}, {0, 11, 16, -1}, {0, 11, 17, -1}, {0, 11, 18, -1}, {0, 11, 19, -1}, {0, 11, 20, -1}, {0, 11, 21, -1}, {0, 11, 22, -1}, {0, 11, 23, -1}, {0, 11, 24, -1}, {0, 11, 25, -1}, {0, 12, 13, -1}, {0, 12, 14, -1}, {0, 12, 15, -1}, {0, 12, 16, -1}, {0, 12, 17, -1}, {0, 12, 18, -1}, {0, 12, 19, -1}, {0, 12, 20, -1}, {0, 12, 21, -1}, {0, 12, 22, -1}, {0, 12, 23, -1}, {0, 12, 24, -1}, {0, 12, 25, -1}, {0, 13, 14, -1}, {0, 13, 15, -1}, {0, 13, 16, -1}, {0, 13, 17, -1}, {0, 13, 18, -1}, {0, 13, 19, -1}, {0, 13, 20, -1}, {0, 13, 21, -1}, {0, 13, 22, -1}, {0, 13, 23, -1}, {0, 13, 24, -1}, {0, 13, 25, -1}, {0, 14, 15, -1}, {0, 14, 16, -1}, {0, 14, 17, -1}, {0, 14, 18, -1}, {0, 14, 19, -1}, {0, 14, 20, -1}, {0, 14, 21, -1}, {0, 14, 22, -1}, {0, 14, 23, -1}, {0, 14, 24, -1}, {0, 14, 25, -1}, {0, 15, 16, -1}, {0, 15, 17, -1}, {0, 15, 18, -1}, {0, 15, 19, -1}, {0, 15, 20, -1}, {0, 15, 21, -1}, {0, 15, 22, -1}, {0, 15, 23, -1}, {0, 15, 24, -1}, {0, 15, 25, -1}, {0, 16, 17, -1}, {0, 16, 18, -1}, {0, 16, 19, -1}, {0, 16, 20, -1}, {0, 16, 21, -1}, {0, 16, 22, -1}, {0, 16, 23, -1}, {0, 16, 24, -1}, {0, 16, 25, -1}, {0, 17, 18, -1}, {0, 17, 19, -1}, {0, 17, 20, -1}, {0, 17, 21, -1}, {0, 17, 22, -1}, {0, 17, 23, -1}, {0, 17, 24, -1}, {0, 17, 25, -1}, {0, 18, 19, -1}, {0, 18, 20, -1}, {0, 18, 21, -1}, {0, 18, 22, -1}, {0, 18, 23, -1}, {0, 18, 24, -1}, {0, 18, 25, -1}, {0, 19, 20, -1}, {0, 19, 21, -1}, {0, 19, 22, -1}, {0, 19, 23, -1}, {0, 19, 24, -1}, {0, 19, 25, -1}, {0, 20, 21, -1}, {0, 20, 22, -1}, {0, 20, 23, -1}, {0, 20, 24, -1}, {0, 20, 25, -1}, {0, 21, 22, -1}, {0, 21, 23, -1}, {0, 21, 24, -1}, {0, 21, 25, -1}, {0, 22, 23, -1}, {0, 22, 24, -1}, {0, 22, 25, -1}, {0, 23, 24, -1}, {0, 23, 25, -1}, {0, 24, 25, -1}, {1, 2, 3, -1}, {1, 2, 4, -1}, {1, 2, 5, -1}, {1, 2, 6, -1}, {1, 2, 7, -1}, {1, 2, 8, -1}, {1, 2, 9, -1}, {1, 2, 10, -1}, {1, 2, 11, -1}, {1, 2, 12, -1}, {1, 2, 13, -1}, {1, 2, 14, -1}, {1, 2, 15, -1}, {1, 2, 16, -1}, {1, 2, 17, -1}, {1, 2, 18, -1}, {1, 2, 19, -1}, {1, 2, 20, -1}, {1, 2, 21, -1}, {1, 2, 22, -1}, {1, 2, 23, -1}, {1, 2, 24, -1}, {1, 2, 25, -1}, {1, 3, 4, -1}, {1, 3, 5, -1}, {1, 3, 6, -1}, {1, 3, 7, -1}, {1, 3, 8, -1}, {1, 3, 9, -1}, {1, 3, 10, -1}, {1, 3, 11, -1}, {1, 3, 12, -1}, {1, 3, 13, -1}, {1, 3, 14, -1}, {1, 3, 15, -1}, {1, 3, 16, -1}, {1, 3, 17, -1}, {1, 3, 18, -1}, {1, 3, 19, -1}, {1, 3, 20, -1}, {1, 3, 21, -1}, {1, 3, 22, -1}, {1, 3, 23, -1}, {1, 3, 24, -1}, {1, 3, 25, -1}, {1, 4, 5, -1}, {1, 4, 6, -1}, {1, 4, 7, -1}, {1, 4, 8, -1}, {1, 4, 9, -1}, {1, 4, 10, -1}, {1, 4, 11, -1}, {1, 4, 12, -1}, {1, 4, 13, -1}, {1, 4, 14, -1}, {1, 4, 15, -1}, {1, 4, 16, -1}, {1, 4, 17, -1}, {1, 4, 18, -1}, {1, 4, 19, -1}, {1, 4, 20, -1}, {1, 4, 21, -1}, {1, 4, 22, -1}, {1, 4, 23, 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