This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int INF = (int) 1e9 + 1e6 + 123;
const ll LINF = (ll) 1e18 + 1e9 + 123;
#define rep(i, s, t) for (auto i = (s); i < (t); ++(i))
#define per(i, s, t) for (auto i = (s); i >= (t); --(i))
#define all(x) (x).begin(), (x).end()
#define sz(x) ((int)(x).size())
#define mp make_pair
#define pb push_back
bool mini(auto &x, const auto &y) {
if (y < x) {
x = y;
return 1;
}
return 0;
}
bool maxi(auto &x, const auto &y) {
if (y > x) {
x = y;
return 1;
}
return 0;
}
void run();
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
run();
return 0;
}
const int N = (int) 1e5 + 123;
const int K = 505;
int h, w;
ll a, b, c;
int n;
int x[N], y[N];
int dist[K][K];
ll dp[K][K][6];
bool vis[K][K][6];
const int dx[4] = {-1, 1, 0, 0};
const int dy[4] = {0, 0, -1, 1};
struct V {
int i, j, t;
bool operator<(const V &b) const {
return mp(i, mp(j, t)) < mp(b.i, mp(b.j, b.t));
}
};
void run() {
cin >> h >> w;
cin >> a >> b >> c;
cin >> n;
rep(i, 0, n) {
cin >> x[i] >> y[i];
x[i]++;
y[i]++;
}
{
queue<pair<int, int>> q;
rep(i, 0, K) rep(j, 0, K) dist[i][j] = INF;
rep(i, 0, n) {
q.push({x[i], y[i]});
dist[x[i]][y[i]] = 0;
}
while (sz(q)) {
auto v = q.front();
q.pop();
rep(dir, 0, 4) {
int nx = v.first + dx[dir];
int ny = v.second + dy[dir];
if (0 <= nx && nx < K && 0 <= ny && ny < K && mini(dist[nx][ny], dist[v.first][v.second] + 1)) {
q.push({nx, ny});
}
}
}
}
rep(i, 1, K - 1) {
rep(j, 1, K - 1) {
}
}
rep(i, 0, K) rep(j, 0, K) rep(t, 0, 6) {
dp[i][j][t] = LINF * (i != 0 && i != K - 1) * (j != 0 && j != K - 1);
}
dp[x[0]][y[0]][1] = 0;
priority_queue<pair<ll, V>> q;
q.push({0, {x[0], y[0], 1}});
while (sz(q)) {
V v = q.top().second;
q.pop();
if (vis[v.i][v.j][v.t]) {
continue;
}
vis[v.i][v.j][v.t] = 1;
if (v.t == 0) {
if (mini(dp[v.i][v.j][1], dp[v.i][v.j][0] + dist[v.i][v.j] * c)) {
q.push({-dp[v.i][v.j][1], {v.i, v.j, 1}});
}
} else if (v.t == 1) {
rep(dir, 0, 4) {
if (mini(dp[v.i][v.j][2 + dir], dp[v.i][v.j][1] + b)) {
q.push({-dp[v.i][v.j][2 + dir], {v.i, v.j, 2 + dir}});
}
int ni = v.i + dx[dir];
int nj = v.j + dy[dir];
if (mini(dp[ni][nj][1], dp[v.i][v.j][1] + c)) {
q.push({-dp[ni][nj][1], {ni, nj, 1}});
}
}
if (mini(dp[v.i][v.j][0], dp[v.i][v.j][v.t])) {
q.push({-dp[v.i][v.j][0], {v.i, v.j, 0}});
}
} else {
int dir = v.t - 2;
int ni = v.i + dx[dir];
int nj = v.j + dy[dir];
if (mini(dp[ni][nj][v.t], dp[v.i][v.j][v.t] + a)) {
q.push({-dp[ni][nj][v.t], {ni, nj, v.t}});
}
if (mini(dp[v.i][v.j][0], dp[v.i][v.j][v.t])) {
q.push({-dp[v.i][v.j][0], {v.i, v.j, 0}});
}
}
}
cout << dp[x[n - 1]][y[n - 1]][0] << "\n";
}
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