#include #include #include #define MMAX 1000 #define MIN(a,b) ((a) < (b) ? (a) : (b)) struct node { int id; int cap; struct node *next; }; struct airline { int vertex; int ftime; }; struct node **list; int **flow, *level, *queue; int cmp_air(const void*, const void*); void Insert(int, int, int); int Bfs(int, int, int); int Dfs(int, int, int); int main(void) { int i, n, m, d, f[MMAX][5], alen = 1; long long int maxflow = 0; struct airline a[2*MMAX+2]; scanf("%d %d %d", &n, &m, &d); for (i = 0; i < m; i++) { scanf("%d %d %d %d %d", &f[i][0], &f[i][1], &f[i][2], &f[i][3], &f[i][4]); f[i][3] += d; a[i*2].vertex = f[i][0]; a[i*2].ftime = f[i][2]; a[i*2+1].vertex = f[i][1]; a[i*2+1].ftime = f[i][3]; } a[m*2].vertex = 1; a[m*2].ftime = 0; a[m*2+1].vertex = n; a[m*2+1].ftime = 1000000000; qsort(a, 2 * m + 2, sizeof(struct airline), cmp_air); for (i = 1; i < 2 * m + 2; i++) { if (cmp_air(&a[alen-1], &a[i])) { a[alen].vertex = a[i].vertex; a[alen++].ftime = a[i].ftime; } } list = (struct node**)malloc(sizeof(struct node*) * alen); flow = (int**)malloc(sizeof(int*) * alen); level = (int*)malloc(sizeof(int) * alen); queue = (int*)malloc(sizeof(int) * alen); for (i = 0; i < alen; i++) { list[i] = NULL; flow[i] = (int*)calloc(alen, sizeof(int)); } for (i = 0; i < m; i++) { int lo, hi, mid, uv[2]; struct airline ta; lo = 0; hi = alen - 1; ta.vertex = f[i][0]; ta.ftime = f[i][2]; while (lo <= hi) { mid = (lo + hi) / 2; if (cmp_air(&a[mid], &ta) > 0) hi = mid - 1; else lo = mid + 1; } uv[0] = hi; lo = 0; hi = alen - 1; ta.vertex = f[i][1]; ta.ftime = f[i][3]; while (lo <= hi) { mid = (lo + hi) / 2; if (cmp_air(&a[mid], &ta) > 0) hi = mid - 1; else lo = mid + 1; } uv[1] = hi; Insert(uv[0], uv[1], f[i][4]); } for (i = 1; i < alen; i++) { if (a[i-1].vertex == a[i].vertex) Insert(i - 1, i, INT_MAX); } while (Bfs(0, alen - 1, alen)) maxflow += Dfs(0, alen - 1, INT_MAX); printf("%lld\n", maxflow); for (i = 0; i < alen; i++) { free(list[i]); free(flow[i]); } free(list); free(flow); free(level); free(queue); } int cmp_air(const void *a, const void *b) { struct airline *ta = (struct airline*)a, *tb = (struct airline*)b; if (ta->vertex > tb->vertex) return 1; else if (ta->vertex < tb->vertex) return -1; else { if (ta->ftime > tb->ftime) return 1; else if (ta->ftime < tb->ftime) return -1; else return 0; } } void Insert(int a, int b, int c) { struct node *p = (struct node*)malloc(sizeof(struct node)); p->id = b; p->cap = c; p->next = list[a]; list[a] = p; p = (struct node*)malloc(sizeof(struct node)); p->id = a; p->cap = 0; p->next = list[b]; list[b] = p; } int Bfs(int s, int t, int size) { struct node *n; int i, head = 0, tail = 0; for (i = 0; i < size; i++) level[i] = -1; level[s] = 0; queue[tail++] = s; do { i = queue[head++]; for (n = list[i]; n != NULL; n = n->next) { int v = n->id; if (level[v] < 0 && flow[i][v] < n->cap) { queue[tail++] = v; level[v] = level[i] + 1; } } } while (head != tail); return level[t] >= 0; } int Dfs(int u, int t, int f) { int fsum = 0; struct node *n; if (u == t) return f; for (n = list[u]; n != NULL; n = n->next) { int v = n->id; if (level[u] < level[v] && flow[u][v] < n->cap) { int ftemp = Dfs(v, t, MIN(f - fsum, n->cap - flow[u][v])); if (ftemp > 0) { flow[u][v] += ftemp; flow[v][u] -= ftemp; fsum += ftemp; if (fsum == f) break; } } } return fsum; }