This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
Solution:
Runtime:
*/
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define sz(x) ((int) x.size())
#define all(x) x.begin(), x.end()
#define debug if (true) cerr
using ll = long long;
const int MAXD = 505;
const ll INF = 1e18;
int H, W, N;
int si, sj, ei, ej;
ll A, B, C;
ll costP[MAXD][MAXD];
int ci[] = {1, 0, -1, 0}, cj[] = {0, 1, 0, -1};
inline bool inBounds(int i, int j) {
return i >= 0 && i < H && j >= 0 && j < W;
}
// 0-3 = Being kicked, 4 = Player has the ball
ll bestC[MAXD][MAXD][5];
struct Loc {
int i, j, k;
ll c;
bool operator<(const Loc& o) const {
return c > o.c;
}
};
priority_queue<Loc> pq;
void tryTrans(int i, int j, int k, ll c) {
if (!inBounds(i, j) || bestC[i][j][k] <= c) return;
bestC[i][j][k] = c;
pq.push({i, j, k, c});
}
void bfs1() {
while (!pq.empty()) {
Loc l = pq.top(); pq.pop();
int i = l.i, j = l.j;
ll c = l.c;
if (c != costP[i][j]) continue;
// Move to adjacent square
rep(d, 0, 4) {
int ni = i + ci[d], nj = j + cj[d];
ll nc = c + C;
if (!inBounds(ni, nj) || costP[ni][nj] <= nc) continue;
costP[ni][nj] = nc;
pq.push({ni, nj, -1, nc});
}
}
}
void bfs2() {
bestC[si][sj][4] = 0;
pq.push({si, sj, 4, 0});
while (!pq.empty()) {
Loc l = pq.top(); pq.pop();
int i = l.i, j = l.j, k = l.k;
ll c = l.c;
if (c != bestC[i][j][k]) continue;
if (k == 4) {
// Player has the ball
rep(d, 0, 4) {
tryTrans(i + ci[d], j + cj[d], 4, c + C); // Move with the ball
tryTrans(i, j, d, c + B); // Kick the ball in a direction
}
} else {
// Ball is being kicked
// Continue moving the ball
tryTrans(i + ci[k], j + cj[k], k, c + A);
// Stop moving and have a player pick up the ball
tryTrans(i, j, 4, c + costP[i][j]);
}
}
}
void solve() {
cin >> H >> W;
H++, W++;
cin >> A >> B >> C;
cin >> N;
rep(i, 0, H) rep(j, 0, W) {
costP[i][j] = INF;
rep(k, 0, 5) bestC[i][j][k] = INF;
}
rep(k, 0, N) {
int i, j; cin >> i >> j;
if (k == 0) si = i, sj = j;
else if (k == N-1) ei = i, ej = j;
costP[i][j] = 0;
pq.push({i, j, -1, 0});
}
bfs1();
bfs2();
ll ans = INF;
rep(i, 0, H) rep(j, 0, W) rep(k, 0, 5) {
ll cost = bestC[i][j][k] + C * (abs(ei-i) + abs(ej-j));
ans = min(cost, ans);
}
cout << ans << '\n';
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
solve();
return 0;
}
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