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<iostream>
#include<math.h>
#include<algorithm>
#include<vector>
#include<queue>
using ll = long long;
using namespace std;
const int H=503, N=1e5+2;
const ll INF = 5e12+1;
int h, w, n, s[N], t[N];
ll a, b, c;
bool player[H][H];
ll closest[H][H];
ll minX[H][H], maxX[H][H];
bool vis[H][H];
ll dist[H][H];
struct Obj {
ll d;
int x, y;
friend bool operator<(const Obj& o1, const Obj& o2) {
return o1.d > o2.d;
}
};
vector<int> moveX = {0, 0, 1, -1}, moveY = {1, -1, 0, 0};
bool inside(int x, int y) {
if(x>=1 && x<=h && y>=1 && y<=w) return true;
return false;
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin>>h>>w;
cin>>a>>b>>c;
cin>>n;
h++;
w++;
for(int i=0; i<n; ++i) {
cin>>s[i]>>t[i];
s[i]++;
t[i]++;
player[s[i]][t[i]] = 1;
}
for(int i=1; i<=w; ++i) {
maxX[0][i] = -INF;
}
for(int x=1; x<=h; ++x) {
for(int y=1; y<=w; ++y) {
if(player[x][y]) maxX[x][y] = x;
else maxX[x][y] = maxX[x-1][y];
}
}
for(int i=1; i<=w; ++i) {
minX[h+1][i] = INF;
}
for(int x=h; x>=1; --x) {
for(int y=1; y<=w; ++y) {
if(player[x][y]) minX[x][y] = x;
else minX[x][y] = minX[x+1][y];
}
}
for(int x=1; x<=h; ++x) {
for(int y=1; y<=w; ++y) {
closest[x][y] = INF;
for(int i=1; i<=w; ++i) {
closest[x][y] = min(closest[x][y], abs(y-i) + min( x - maxX[x][i], minX[x][i] - x));
}
}
}
for(int i=1; i<=h; ++i) {
for(int j=1; j<=w; ++j) {
dist[i][j] = INF;
}
}
priority_queue< Obj > Q;
Q.push({0, s[0], t[0]});
dist[s[0]][t[0]] = 0;
while(Q.size()) {
auto cur = Q.top();
Q.pop();
ll d = cur.d;
int x = cur.x;
int y = cur.y;
if(vis[x][y]) continue;
vis[x][y] = 1;
// C
for(int i=0; i<4; ++i) {
int nx = x+moveX[i], ny = y+moveY[i];
if(inside(nx, ny) && d + c < dist[nx][ny]) {
dist[nx][ny] = d + c;
Q.push({d+c, nx, ny});
}
}
//Ax + B
for(int i=0; i<4; ++i) {
for(int p=1; p<=max(h, w); ++p) {
int nx = x+p*moveX[i], ny = y+p*moveY[i];
if(!inside(nx, ny)) break;
ll nd = d + a*p + b + c * closest[nx][ny];
if(nd < dist[nx][ny]) {
dist[nx][ny] = nd;
Q.push({nd, nx, ny});
}
}
}
}
cout<<dist[s[n-1]][t[n-1]];
}
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