如图,将每个小三角形看作图中的一个点,在它们之间连一条等于它们夹着的边的值的边在左下角和右上角分别建个起点和中点,最后ans就是起点到终点的最短路。因为是格点图,所以Dijkstra更快,原谅我脑抽写了个SPFA。
1 #include <cstdio> 2 #include <cstring> 3 #include <vector> 4 using namespace std; 5 struct node { 6 int t, v; 7 }; 8 const int M = 2000001; 9 int n, m, pn, a[1001][1001][2], D[2000001], f[2000001]; 10 bool b[2000001]; 11 vector <node> G[2000001]; 12 13 void add(int a, int b, int c) { 14 node t1 = {b, c}, t2 = {a, c}; 15 G[a].push_back(t1), G[b].push_back(t2); 16 } 17 18 void init() { 19 scanf("%d%d", &n, &m); 20 pn = 2; 21 for (int i = 1; i < n; i++) 22 for (int j = 1; j < m; j++) 23 for (int k = 0; k <= 1; k++) 24 a[i][j][k] = ++pn; 25 for (int i = 1; i <= pn; i++) G[i].clear(); 26 27 for (int i = 1; i < n; i++) a[i][0][1] = 1; 28 for (int i = 1; i < m; i++) a[n][i][1] = 1; 29 for (int i = 1; i < n; i++) a[i][m][0] = 2; 30 for (int i = 1; i < m; i++) a[0][i][0] = 2; 31 32 int tmp; 33 for (int i = 1; i <= n; i++) 34 for (int j = 1; j < m; j++) 35 scanf("%d", &tmp), add(a[i - 1][j][0], a[i][j][1], tmp); 36 for (int i = 1; i < n; i++) 37 for (int j = 1; j <= m; j++) 38 scanf("%d", &tmp), add(a[i][j - 1][1], a[i][j][0], tmp); 39 for (int i = 1; i < n; i++) 40 for (int j = 1; j < m; j++) 41 scanf("%d", &tmp), add(a[i][j][0], a[i][j][1], tmp); 42 } 43 44 int main() { 45 //freopen("input.txt", "r", stdin); 46 //freopen("output.txt", "w", stdout); 47 48 init(); 49 50 int head = 0, tail = 1; 51 memset(b, 0, sizeof(b)); 52 memset(D, 0x3f, sizeof(D)); 53 D[1] = 0; b[1] = 1; f[1] = 1; 54 while (head < tail) { 55 int tmp = f[++head]; b[tmp] = 0; 56 if (head == M) head = 0; 57 for (int i = 0; i < G[tmp].size(); i++) 58 if (D[G[tmp][i].t] > D[tmp] + G[tmp][i].v) { 59 D[G[tmp][i].t] = D[tmp] + G[tmp][i].v; 60 if (!b[G[tmp][i].t]) { 61 b[G[tmp][i].t] = 1, f[++tail] = G[tmp][i].t; 62 if (tail == M) tail = 0; 63 } 64 } 65 } 66 printf("%d\n", D[2]); 67 return 0; 68 }
原文:http://www.cnblogs.com/VOHAHRV/p/4908590.html