Add xor/algsig test code

Signed-off-by: Tushar Gohad <tushar.gohad@intel.com>

2 files changed, 507 insertions, 0 deletions

diff --git a/test/builtin/xor_codes/test_xor_hd_code.c b/test/builtin/xor_codes/test_xor_hd_code.c
new file mode 100644
index 0000000..03ff240
--- /dev/null
+++ b/test/builtin/xor_codes/test_xor_hd_code.c
@@ -0,0 +1,415 @@
+/* * 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.
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <time.h>
+#include <xor_code.h>
+#include <test_xor_hd_code.h>
+
+void fill_buffer(unsigned char *buf, int size, int seed)
+{
+  int i;
+
+  buf[0] = seed;
+
+  for (i=1; i < size; i++) {
+    buf[i] = ((buf[i-1] + i) % 256);
+  }
+}
+
+int check_buffer(unsigned char *buf, int size, int seed)
+{
+  int i;
+
+  if (buf[0] != seed) {
+    fprintf(stderr, "Seed does not match index 0: %u\n", buf[0]);
+    return -1;
+  }
+
+  for (i=1; i < size; i++) {
+    if (buf[i] != ((buf[i-1] + i) % 256)) {
+      fprintf(stderr, "Buffer does not match index %d: %u\n", i, (buf[i] & 0xff));
+      return -1;
+    }
+  }
+
+  return 0;
+}
+
+int test_hd_code(xor_code_t *code_desc, int num_failure_combs, int failure_combs[][4])
+{
+  int i, j;
+  int num_iter = 1000;
+  int blocksize = 32768;
+  int missing_idxs[4] = { -1 };
+  int ret = 0;
+  char **data, **parity;
+  clock_t start_time, end_time;
+  int *fragments_needed;
+
+  srand(time(NULL));
+
+  data = (char**)malloc(code_desc->k * sizeof(char*));
+  parity = (char**)malloc(code_desc->m * sizeof(char*));
+  fragments_needed = (int*)malloc(code_desc->k*code_desc->m*sizeof(int));
+  if (!fragments_needed) {
+      fprintf(stderr, "Could not allocate memory for fragments %d\n", i);
+      exit(2);
+  }
+
+  bzero(fragments_needed, code_desc->k*code_desc->m*sizeof(int));
+
+  for (i=0; i < code_desc->k; i++) {
+    data[i] = aligned_malloc(blocksize, 16);
+    fill_buffer(data[i], blocksize, i);
+    if (!data[i]) {
+      fprintf(stderr, "Could not allocate memory for data %d\n", i);
+      exit(2);
+    }
+  }
+  
+  for (i=0; i < code_desc->m; i++) {
+    parity[i] = aligned_malloc(blocksize, 16);
+    memset(parity[i], 0, blocksize);
+    if (!parity[i]) {
+      fprintf(stderr, "Could not allocate memory for parity %d\n", i);
+      exit(2);
+    }
+  }
+  
+  start_time = clock();
+  for (i=0; i < num_iter-1; i++) {
+    code_desc->encode(code_desc, data, parity, blocksize);
+  }
+  end_time = clock();
+
+  fprintf(stderr, "Encode: %.2f MB/s\n", ((double)(num_iter * blocksize * code_desc->k) / 1000 / 1000 ) / ((double)(end_time-start_time) / CLOCKS_PER_SEC));
+  
+  for (i=0; i < code_desc->m; i++) {
+    memset(parity[i], 0, blocksize);
+  }
+
+  code_desc->encode(code_desc, data, parity, blocksize);
+  
+  for (i=0; i < num_failure_combs; i++) {
+    int missing_idx_0 = failure_combs[i][0];
+    int missing_idx_1 = failure_combs[i][1];
+    int missing_idx_2 = failure_combs[i][2];
+
+    missing_idxs[0] = missing_idx_0;
+    missing_idxs[1] = missing_idx_1;
+    missing_idxs[2] = missing_idx_2;
+    missing_idxs[3] = -1;
+
+    if (missing_idxs[0] > -1) {
+      if (missing_idxs[0] < code_desc->k) {
+        memset(data[missing_idxs[0]], 0, blocksize);
+      } else {
+        memset(parity[missing_idxs[0] - code_desc->k], 0, blocksize);
+      }
+    }
+    if (missing_idxs[1] > -1) {
+      if (missing_idxs[1] < code_desc->k) {
+        memset(data[missing_idxs[1]], 0, blocksize);
+      } else {
+        memset(parity[missing_idxs[1] - code_desc->k], 0, blocksize);
+      }
+    }
+    if (missing_idxs[2] > -1) {
+      if (missing_idxs[2] < code_desc->k) {
+        memset(data[missing_idxs[2]], 0, blocksize);
+      } else {
+        memset(parity[missing_idxs[2] - code_desc->k], 0, blocksize);
+      }
+    }
+
+    /*
+     * Spot check to ensure missing elements are not included in
+     * list of fragments needed and that decode is 'doable'
+     */
+    ret = code_desc->fragments_needed(code_desc, missing_idxs, fragments_needed);
+
+    if (ret < 0) {
+      fprintf(stderr, "xor_hd_fragments_needed thinks reconstruction not possible, when it is!\n");
+      exit(2);
+    }
+
+    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++;
+    }
+    
+    missing_idxs[0] = missing_idx_0;
+    missing_idxs[1] = missing_idx_1;
+    missing_idxs[2] = missing_idx_2;
+    missing_idxs[3] = -1;
+
+    code_desc->decode(code_desc, data, parity, missing_idxs, blocksize, 1);
+  
+    if (missing_idxs[0] > -1 && missing_idxs[0] < code_desc->k && check_buffer(data[missing_idx_0], blocksize, missing_idx_0) < 0) {
+      fprintf(stderr, "Decode did not work: %d (%d %d %d)!\n", missing_idxs[0], missing_idxs[0], missing_idxs[1], missing_idxs[2]);
+      exit(2);
+    }
+    if (missing_idxs[1] > -1 && missing_idxs[1] < code_desc->k && check_buffer(data[missing_idx_1], blocksize, missing_idx_1) < 0) {
+      fprintf(stderr, "Decode did not work: %d (%d %d %d)!\n", missing_idxs[1], missing_idxs[0], missing_idxs[1], missing_idxs[2]);
+      exit(2);
+    }
+    if (missing_idxs[2] > -1 && missing_idxs[2] < code_desc->k && check_buffer(data[missing_idx_2], blocksize, missing_idx_2) < 0) {
+      fprintf(stderr, "Decode did not work: %d (%d %d %d)!\n", missing_idxs[2], missing_idxs[0], missing_idxs[1], missing_idxs[2]);
+      exit(2);
+    }
+  }
+
+  start_time = clock();
+  for (i=0; i < num_iter; i++) {
+    int j;
+
+    missing_idxs[0] = rand() % (code_desc->k + code_desc->m);
+    for (j=1; j < code_desc->hd-1;j++) {
+      missing_idxs[j] = (missing_idxs[j-1] + 1) % (code_desc->k + code_desc->m);
+    }
+    missing_idxs[code_desc->hd-1] = -1;
+
+    if (missing_idxs[0] > -1 && missing_idxs[0] < code_desc->k) {
+      memset(data[missing_idxs[0]], 0, blocksize);
+    }
+    if (missing_idxs[1] > -1 && missing_idxs[1] < code_desc->k) {
+      memset(data[missing_idxs[1]], 0, blocksize);
+    }
+    if (missing_idxs[2] > -1 && missing_idxs[2] < code_desc->k) {
+      memset(data[missing_idxs[2]], 0, blocksize);
+    }
+
+    code_desc->decode(code_desc, data, parity, missing_idxs, blocksize, 1);
+  }
+  end_time = clock();
+  
+  fprintf(stderr, "Decode: %.2f MB/s\n", ((double)(num_iter * blocksize * code_desc->k) / 1000 / 1000 ) / ((double)(end_time-start_time) / CLOCKS_PER_SEC));
+  free(fragments_needed);
+  for (i = 0; i < code_desc->k; i++) {
+      aligned_free(data[i]);
+  }
+  free(data);
+  for (i = 0; i < code_desc->m; i++) {
+      aligned_free(parity[i]);
+  }
+  free(parity);
+
+  return 0;
+}
+
+int run_test(int k, int m, int hd)
+{
+  int ret = -1;
+  xor_code_t * code_desc = init_xor_hd_code(k, m, hd);
+
+  fprintf(stderr, "Running (%d, %d, %d):\n", k, m, hd);
+  
+  switch(k+m) {
+    case 10:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_10_3_COMBS, failure_combs_10_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_10_4_COMBS, failure_combs_10_4);
+      }
+      break;
+    case 11:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_11_3_COMBS, failure_combs_11_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_11_4_COMBS, failure_combs_11_4);
+      }
+      break;
+    case 12:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_12_3_COMBS, failure_combs_12_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_12_4_COMBS, failure_combs_12_4);
+      }
+      break;
+    case 13:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_13_3_COMBS, failure_combs_13_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_13_4_COMBS, failure_combs_13_4);
+      }
+      break;
+    case 14:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_14_3_COMBS, failure_combs_14_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_14_4_COMBS, failure_combs_14_4);
+      }
+      break;
+    case 15:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_15_3_COMBS, failure_combs_15_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_15_4_COMBS, failure_combs_15_4);
+      }
+      break;
+    case 16:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_16_3_COMBS, failure_combs_16_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_16_4_COMBS, failure_combs_16_4);
+      }
+      break;
+    case 17:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_17_3_COMBS, failure_combs_17_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_17_4_COMBS, failure_combs_17_4);
+      }
+      break;
+    case 18:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_18_3_COMBS, failure_combs_18_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_18_4_COMBS, failure_combs_18_4);
+      }
+      break;
+    case 19:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_19_3_COMBS, failure_combs_19_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_19_4_COMBS, failure_combs_19_4);
+      }
+      break;
+    case 20:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_20_3_COMBS, failure_combs_20_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_20_4_COMBS, failure_combs_20_4);
+      }
+      break;
+    case 21:
+      if (hd == 3) {
+        ret = test_hd_code(code_desc, NUM_21_3_COMBS, failure_combs_21_3);
+      } else {
+        ret = test_hd_code(code_desc, NUM_21_4_COMBS, failure_combs_21_4);
+      }
+      break;
+    case 22:
+      ret = test_hd_code(code_desc, NUM_22_4_COMBS, failure_combs_22_4);
+      break;
+    case 23:
+      ret = test_hd_code(code_desc, NUM_23_4_COMBS, failure_combs_23_4);
+      break;
+    case 24:
+      ret = test_hd_code(code_desc, NUM_24_4_COMBS, failure_combs_24_4);
+      break;
+    case 25:
+      ret = test_hd_code(code_desc, NUM_25_4_COMBS, failure_combs_25_4);
+      break;
+    case 26:
+      ret = test_hd_code(code_desc, NUM_26_4_COMBS, failure_combs_26_4);
+      break;
+    default:
+      ret = -1; 
+  }
+  free(code_desc);
+  return ret; 
+}
+
+/**
+ * Runs a series aligned_malloc/aligned_free calls with a set of size and
+ * alignment values. For each alignment value, perform a series of boundry
+ * value anaylsis alloctions for every power-of-two between 2 and 32768.
+ * Then perform an aligned_free for each allocation.
+ *
+ * @return 0 is test behaves as expected, else -1.
+ *
+ */
+int run_aligned_malloc_test() {
+    int align = 8;
+    size_t amount;
+    int modifier;
+
+    for (align = 8; align <= 128; align *= 2) {
+        size_t amount = 2;
+        for (amount = 2; amount <= 32768; amount *= 2) {
+            int modifier;
+            for (modifier = -1; modifier <= 1; modifier++) {
+                size_t actual_amount = amount + modifier;
+                void *tmem = aligned_malloc(actual_amount,align);
+                if (!tmem) {
+                    return -1;
+                }
+                if (memset(tmem,0,actual_amount) != tmem) {
+                    return -1;
+                }
+                aligned_free(tmem);
+            }
+        }
+    }
+    return 0;
+}
+
+int main()
+{
+  int ret = 0;
+  int i;
+  ret = run_aligned_malloc_test();
+  if (ret != 0) {
+    return ret;
+  }
+  
+  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(0);
+}
+
diff --git a/test/builtin/xor_codes/test_xor_hd_code.h b/test/builtin/xor_codes/test_xor_hd_code.h
new file mode 100644
index 0000000..eb96d05
--- /dev/null
+++ b/test/builtin/xor_codes/test_xor_hd_code.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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