#include <cstdio> #include <algorithm> #include <cassert> #define DB if (0) #define PDB if (0) #define NDB if (1) #define MAX 1000009 bool solve(int *values, int *output, int *maxi, int *mini, int *imax, int n, int k) { int orgN = n; if (imax[n-1] != n - 1) { // last value is not the largest PDB printf("imax[%d-1] != %d - 1\n", n, n); if (k >= 3) { PDB printf("%d >= 3\n", k); output[imax[n - 1]] = 1; output[imax[n - 1] - 1] = 1; return true; } else { // O(n - imax[n-1]) // (imax[n-1] != n - 1) holds PDB printf("%d == 2\n", k); DB assert (k == 2); int i = imax[n - 1]; int maxRightVal = values[n-1]; if (maxRightVal > mini[i]) { // imax[n-1] must be in the left group, but now left group // has lower value than right, failure PDB printf("maxRightVal > mini[%d]\n", i); return false; } for (int j=n-1; j>i; j--) { if (mini[j-1] >= maxRightVal) { output[j-1] = 1; PDB printf("output[%d] = 1\n", j-1); return true; } else { maxRightVal = std::max(maxRightVal, values[j-1]); if (maxRightVal > mini[i]) { // imax[n-1] must be in the left group, but now left group // has lower value than right, failure PDB printf("maxRightVal > mini[%d]\n", i); return false; } } } return false; } } else { // imax[n-1] == n - 1, last value is the largest PDB printf("imax[%d-1] == %d - 1\n", n, n); if (k >= 3) { // TODO write test for all values equal! PDB printf("%d >= 3\n", k); while (n && imax[n-1] == n-1) n--; // still in `last is the largest` case PDB printf("%d == 0\n", n); if (n == 0) return false; // strictly increasing ordering DB assert (imax[n-1] != n-1); if (k >= 4) { PDB printf("%d >= 4\n", k); output[n - 1] = 1; k -= 1; int j = 0; while (k > 3 && n + j < orgN) { output[n + j] = 1; k--; j++; } DB assert (k >= 3); DB assert (imax[n-1] != n - 1); bool res = solve(values, output, maxi, mini, imax, n, k); DB assert (res); return true; } else { /// what with the case when there are multiple equal max values? PDB printf("k == 3\n"); // k == 3 while (n) { if (imax[n-1] == n-1) { n--; // still in `last is the largest` case PDB printf("push n to %d\n", n); } else { int startMax = imax[n-1]; for (int i=imax[n-1]+1; i<n; i++) { if (values[i] == mini[imax[n-1]]) { output[n-1] = 1; output[i-1] = 1; return true; } } for (int i=imax[n-1]+1; i<n; i++) { if (values[i] > mini[imax[n-1]]) { PDB printf("values[%d] > mini[imax[%d-1]]\n", i, n); n = i - 1; PDB printf("push n to %d\n", n); break; } } if (n == startMax) continue; if (solve(values, output, maxi, mini, imax, n, k - 1)) { output[n-1] = 1; return true; } n = imax[n-1]; } } return false; } } else { return false; } } } int values[MAX], output[MAX], maxi[MAX], mini[MAX], imax[MAX]; int main() { int n, k; scanf("%d %d", &n, &k); for (int i=0; i<n; i++) { output[i] = 0; scanf("%d", values + i); if (i == 0) { maxi[i] = mini[i] = values[i]; imax[i] = i; } else { maxi[i] = std::max(maxi[i-1], values[i]); mini[i] = std::min(mini[i-1], values[i]); if (maxi[i-1] < values[i]) imax[i] = i; else imax[i] = imax[i-1]; } } bool doable = solve(values, output, maxi, mini, imax, n, k); if (doable) { printf("TAK\n"); int win = 0; int maxPeriod, minPeriod, minPrev; maxPeriod = minPeriod = minPrev = values[0]; for (int i=0; i<n-1; i++) { maxPeriod = std::max(maxPeriod, values[i]); minPeriod = std::min(minPeriod, values[i]); if (output[i]) { if (minPrev >= maxPeriod) { win = 1; } minPrev = minPeriod; maxPeriod = minPeriod = values[i+1]; k--; } } if (minPrev >= maxPeriod) { win = 1; } int id = 0; while (k > 1) { if (!output[id]) { output[id] = 1; k--; } id++; } DB assert (win); DB assert (k == 1); NDB for (int i=0; i<n; i++) if (output[i]) printf("%d ", i + 1); printf("\n"); } else { printf("NIE\n"); } }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 | #include <cstdio> #include <algorithm> #include <cassert> #define DB if (0) #define PDB if (0) #define NDB if (1) #define MAX 1000009 bool solve(int *values, int *output, int *maxi, int *mini, int *imax, int n, int k) { int orgN = n; if (imax[n-1] != n - 1) { // last value is not the largest PDB printf("imax[%d-1] != %d - 1\n", n, n); if (k >= 3) { PDB printf("%d >= 3\n", k); output[imax[n - 1]] = 1; output[imax[n - 1] - 1] = 1; return true; } else { // O(n - imax[n-1]) // (imax[n-1] != n - 1) holds PDB printf("%d == 2\n", k); DB assert (k == 2); int i = imax[n - 1]; int maxRightVal = values[n-1]; if (maxRightVal > mini[i]) { // imax[n-1] must be in the left group, but now left group // has lower value than right, failure PDB printf("maxRightVal > mini[%d]\n", i); return false; } for (int j=n-1; j>i; j--) { if (mini[j-1] >= maxRightVal) { output[j-1] = 1; PDB printf("output[%d] = 1\n", j-1); return true; } else { maxRightVal = std::max(maxRightVal, values[j-1]); if (maxRightVal > mini[i]) { // imax[n-1] must be in the left group, but now left group // has lower value than right, failure PDB printf("maxRightVal > mini[%d]\n", i); return false; } } } return false; } } else { // imax[n-1] == n - 1, last value is the largest PDB printf("imax[%d-1] == %d - 1\n", n, n); if (k >= 3) { // TODO write test for all values equal! PDB printf("%d >= 3\n", k); while (n && imax[n-1] == n-1) n--; // still in `last is the largest` case PDB printf("%d == 0\n", n); if (n == 0) return false; // strictly increasing ordering DB assert (imax[n-1] != n-1); if (k >= 4) { PDB printf("%d >= 4\n", k); output[n - 1] = 1; k -= 1; int j = 0; while (k > 3 && n + j < orgN) { output[n + j] = 1; k--; j++; } DB assert (k >= 3); DB assert (imax[n-1] != n - 1); bool res = solve(values, output, maxi, mini, imax, n, k); DB assert (res); return true; } else { /// what with the case when there are multiple equal max values? PDB printf("k == 3\n"); // k == 3 while (n) { if (imax[n-1] == n-1) { n--; // still in `last is the largest` case PDB printf("push n to %d\n", n); } else { int startMax = imax[n-1]; for (int i=imax[n-1]+1; i<n; i++) { if (values[i] == mini[imax[n-1]]) { output[n-1] = 1; output[i-1] = 1; return true; } } for (int i=imax[n-1]+1; i<n; i++) { if (values[i] > mini[imax[n-1]]) { PDB printf("values[%d] > mini[imax[%d-1]]\n", i, n); n = i - 1; PDB printf("push n to %d\n", n); break; } } if (n == startMax) continue; if (solve(values, output, maxi, mini, imax, n, k - 1)) { output[n-1] = 1; return true; } n = imax[n-1]; } } return false; } } else { return false; } } } int values[MAX], output[MAX], maxi[MAX], mini[MAX], imax[MAX]; int main() { int n, k; scanf("%d %d", &n, &k); for (int i=0; i<n; i++) { output[i] = 0; scanf("%d", values + i); if (i == 0) { maxi[i] = mini[i] = values[i]; imax[i] = i; } else { maxi[i] = std::max(maxi[i-1], values[i]); mini[i] = std::min(mini[i-1], values[i]); if (maxi[i-1] < values[i]) imax[i] = i; else imax[i] = imax[i-1]; } } bool doable = solve(values, output, maxi, mini, imax, n, k); if (doable) { printf("TAK\n"); int win = 0; int maxPeriod, minPeriod, minPrev; maxPeriod = minPeriod = minPrev = values[0]; for (int i=0; i<n-1; i++) { maxPeriod = std::max(maxPeriod, values[i]); minPeriod = std::min(minPeriod, values[i]); if (output[i]) { if (minPrev >= maxPeriod) { win = 1; } minPrev = minPeriod; maxPeriod = minPeriod = values[i+1]; k--; } } if (minPrev >= maxPeriod) { win = 1; } int id = 0; while (k > 1) { if (!output[id]) { output[id] = 1; k--; } id++; } DB assert (win); DB assert (k == 1); NDB for (int i=0; i<n; i++) if (output[i]) printf("%d ", i + 1); printf("\n"); } else { printf("NIE\n"); } } |