// yukicoder: 506 限られたジャパリまん // 2019.9.6 bal4u #include #include typedef long long ll; //// 高速入力 #if 1 #define gc() getchar_unlocked() #else #define gc() getchar() #endif int in() { // 非負整数の入力 int n = 0, c = gc(); do n = 10 * n + (c & 0xf); while ((c = gc()) >= '0'); return n; } void ins(char *s) { // 文字列の入力 スペース以下の文字で入力終了 do *s = gc(); while (*s++ > ' '); *(s-1) = 0; } //// 2^16までのビット数を数える popcount()と同等? int bitcount(int x) { x = ((x & 0xAAAAAA) >> 1) + (x & 0x555555); x = ((x & 0xCCCCCC) >> 2) + (x & 0x333333); x = ((x & 0xF0F0F0) >> 4) + (x & 0x0F0F0F); x = ((x & 0x00FF00) >> 8) + (x & 0xFF00FF); return x; } #define MOD 1000000007 int H, W, K, P; int rr[17], cc[17]; char name[17][13]; char map[35][35]; ll dp[35][35]; int main() { int i, r, c; ll max; int path; H = in(), W = in(), K = in(), P = in(); for (i = 0; i < K; i++) rr[i] = in(), cc[i] = in(), ins(name[i]); max = 0; int lim = 1 << K; for (i = 0; i < lim; i++) if (bitcount(i) == P) { memset(map, 1, sizeof(map)); for (int j = 0; j < K; j++) if (!((i >> j) & 1)) map[rr[j]][cc[j]] = 0; // 通れないとこ memset(dp, 0, sizeof(dp)); dp[0][0] = 1; for (r = 1; r <= H; r++) if (map[r][0]) dp[r][0] = dp[r-1][0]; for (c = 1; c <= W; c++) if (map[0][c]) dp[0][c] = dp[0][c-1]; for (r = 1; r <= H; r++) for (c = 1; c <= W; c++) if (map[r][c]) dp[r][c] = dp[r-1][c] + dp[r][c-1]; if (dp[H][W] > max) max = dp[H][W], path = i; } printf("%d\n", max % MOD); if (max) for (i = 0; i < K; i++) if (path & (1 << i)) puts(name[i]); return 0; }