Question:
There are several solutions for a robot to go through the maze every second or move forward and ask at least time.
Ideas:
Simple BFS with memory-based search
Code:
#include<cstdio>#include<iostream>#include<cstring>#include<string>#include<algorithm>#include<map>#include<set>#include<vector>#include<queue>#include<cstdlib>#include<ctime>#include<cmath>#include<bitset>using namespace std;#define N 1010int dir[4][2] = { { -1, 0 }, { 0, 1 }, { 1, 0 }, { 0, -1 } };int cas = 1, n, m, mod, ans;int dp[N][N][4][2];char maz[N][N];struct position { int x, y, to;} u, v, S, T, qu[N * N * 4];int main() { char face[10]; while (~scanf("%d%d%d", &n, &m, &mod)) { if (!mod) break; memset(maz, '*', sizeof(maz)); for (int i = 1; i <= n; i++) scanf("%s", maz[i] + 1); scanf("%d%d%d%d%s", &S.x, &S.y, &T.x, &T.y, face); memset(dp, -1, sizeof(dp)); S.x++; S.y++; T.x++; T.y++; u.x = S.x; u.y = S.y; if (face[0] == 'N') u.to = 0; else if (face[0] == 'E') u.to = 1; else if (face[0] == 'S') u.to = 2; else u.to = 3; dp[u.x][u.y][u.to][0] = 0; dp[u.x][u.y][u.to][1] = 1; int l = 0, r = 1; qu[0] = u; while (l < r) { u = qu[l++]; int nowtime = dp[u.x][u.y][u.to][0] + 1; int nowways = dp[u.x][u.y][u.to][1];// printf("from %d %d %d %d %d\n", u.x, u.y, u.to,// dp[u.x][u.y][u.to][0], dp[u.x][u.y][u.to][1]); v = u; v.x += dir[v.to][0]; v.y += dir[v.to][1];// printf("to %d %d\n", v.x, v.y); if (maz[v.x][v.y] == '.') { if (dp[v.x][v.y][v.to][0] == -1) { dp[v.x][v.y][v.to][0] = nowtime; qu[r++] = v; dp[v.x][v.y][v.to][1] = nowways % mod; } else if (dp[v.x][v.y][v.to][0] == nowtime) { dp[v.x][v.y][v.to][1] += nowways; dp[v.x][v.y][v.to][1] %= mod; } } v = u; v.to = (u.to + 1) % 4; if (maz[v.x][v.y] == '.') { if (dp[v.x][v.y][v.to][0] == -1) { dp[v.x][v.y][v.to][0] = nowtime; qu[r++] = v; dp[v.x][v.y][v.to][1] = nowways % mod; } else if (dp[v.x][v.y][v.to][0] == nowtime) { dp[v.x][v.y][v.to][1] += nowways; dp[v.x][v.y][v.to][1] %= mod; } } v = u; v.to = (u.to + 3) % 4; if (maz[v.x][v.y] == '.') { if (dp[v.x][v.y][v.to][0] == -1) { dp[v.x][v.y][v.to][0] = nowtime; qu[r++] = v; dp[v.x][v.y][v.to][1] = nowways % mod; } else if (dp[v.x][v.y][v.to][0] == nowtime) { dp[v.x][v.y][v.to][1] += nowways; dp[v.x][v.y][v.to][1] %= mod; } } } int best = -1; for (int i = 0; i < 4; i++) if (best == -1 || best > dp[T.x][T.y][i][0]) best = dp[T.x][T.y][i][0]; if (best == -1) { printf("Case %d: %d -1\n", cas++, mod); continue; } ans = 0; for (int i = 0; i < 4; i++) if (dp[T.x][T.y][i][0] == best) ans = (ans + dp[T.x][T.y][i][1]) % mod; printf("Case %d: %d %d\n", cas++, mod, ans);// for (int i = 1; i <= n; i++) {// for (int j = 1; j <= m; j++) {// for (int k = 0; k < 4; k++) {// printf("(%d,%d) %d %d %d\n", i, j, k, dp[i][j][k][0],// dp[i][j][k][1]);// }// }// } } return 0;}
HDU 4166 robot navigation