// yukicoder: No.496 ワープクリスタル (給料日前編) // 2019.7.14 bal4u #include #include typedef long long ll; #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; } //// 優先度付きキュー(ダイクストラ法用) #define MAX 1000000 typedef struct { int t, x, y; ll b; } QUE; QUE que[MAX]; int qsize; #define PARENT(i) ((i)>>1) #define LEFT(i) ((i)<<1) #define RIGHT(i) (((i)<<1)+1) void min_heapify(int i) { int l, r, min; QUE qt; l = LEFT(i), r = RIGHT(i); if (l < qsize && que[l].t < que[i].t) min = l; else min = i; if (r < qsize && que[r].t < que[min].t) min = r; if (min != i) { qt = que[i]; que[i] = que[min]; que[min] = qt; min_heapify(min); } } void deq() { que[0] = que[--qsize]; min_heapify(0); } void enq(int t, int x, int y, ll b) { int i, min; QUE qt; i = qsize++; que[i].t = t, que[i].x = x, que[i].y = y, que[i].b = b; while (i > 0 && que[min = PARENT(i)].t > que[i].t) { qt = que[i]; que[i] = que[min]; que[min] = qt; i = min; } } //// 本問題関連 #define INF 0x33 typedef struct { int x, y, c; } T; T t[55]; int N; int vis[102][102]; int F; int mv[2][2] = {{0,1},{1,0}}; int dijkstra(int gx, int gy) { int i, x, y, xx, yy, c = 0; ll b; memset(vis, INF, sizeof(vis)); enq(0, 0, 0, 0); while (qsize) { c = que[0].t, x = que[0].x, y = que[0].y, b = que[0].b, deq(); if (x == gx && y == gy) break; if (vis[x][y] <= c) continue; vis[x][y] = c; for (i = 0; i < 2; i++) { xx = x + mv[i][0], yy = y + mv[i][1]; if (xx > gx || yy > gy) continue; if (vis[xx][yy] > c+F) enq(c+F, xx, yy, b); } for (i = 0; i < N; i++) { if ((b >> i) & 1) continue; xx = x + t[i].x, yy = y + t[i].y; if (xx > gx || yy > gy) continue; if (vis[xx][yy] > c+t[i].c) enq(c+t[i].c, xx, yy, b | (1LL << i)); } } return c; } int main() { int i, gx, gy; gx = in(), gy = in(), N = in(), F = in(); for (i = 0; i < N; i++) t[i].x = in(), t[i].y = in(), t[i].c = in(); printf("%d\n", dijkstra(gx, gy)); return 0; }