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;
typedef long double ld;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
#define pb push_back
#define f first
#define s second
namespace debug {
const int DEBUG = true;
template<class T1, class T2>
void pr(const pair<T1, T2> &x);
template<class T, size_t SZ>
void pr(const array<T, SZ> &x);
template<class T>
void pr(const vector<T> &x);
template<class T>
void pr(const set<T> &x);
template<class T1, class T2>
void pr(const map<T1, T2> &x);
template<class T>
void pr(const T &x) { if (DEBUG) cout << x; }
template<class T, class... Ts>
void pr(const T &first, const Ts &... rest) { pr(first), pr(rest...); }
template<class T1, class T2>
void pr(const pair<T1, T2> &x) { pr("{", x.f, ", ", x.s, "}"); }
template<class T>
void prIn(const T &x) {
pr("{");
bool fst = 1;
for (auto &a : x) {
pr(fst ? "" : ", ", a), fst = 0;
}
pr("}");
}
template<class T, size_t SZ>
void pr(const array<T, SZ> &x) { prIn(x); }
template<class T>
void pr(const vector<T> &x) { prIn(x); }
template<class T>
void pr(const set<T> &x) { prIn(x); }
template<class T1, class T2>
void pr(const map<T1, T2> &x) { prIn(x); }
void ps() { pr("\n"), cout << flush; }
template<class Arg, class... Args>
void ps(const Arg &first, const Args &... rest) {
pr(first, " ");
ps(rest...);
}
}
using namespace debug;
const ll INF = 1e15;
int H, W;
ll A, B, C;
int N;
vector<pi> pts;
pi st;
pi ed;
ll distP[600][600];
int dI[] = {-1, 0, 1, 0};
int dJ[] = {0, -1, 0, 1};
bool valid(int i, int j) {
return 0 <= i && i < H && 0 <= j && j < W;
}
void bfs() {
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
distP[i][j] = INF;
}
}
queue<pi> q;
for (pi x :pts) {
distP[x.f][x.s] = 0;
q.push(x);
}
while (q.size()) {
pi x = q.front();
q.pop();
ll cDist = distP[x.f][x.s];
for (int d = 0; d < 4; d++) {
int nI = x.f + dI[d], nJ = x.s + dJ[d];
if (valid(nI, nJ)) {
if (distP[nI][nJ] == INF) {
distP[nI][nJ] = cDist + 1;
q.push({nI, nJ});
}
}
}
}
}
int lin(int i, int j, int t) {
return W * i + j + H * W * t;
}
const int MAXV = 500 * 500 * 10 + 10;
vector<pl> aL[MAXV];
ll dist[MAXV];
ll dijkstra(int sV, int eV) {
fill(dist, dist + MAXV, INF);
priority_queue<pl, vector<pl>, greater<pl>> q;
q.push({0, sV});
dist[sV] = 0;
while (q.size()) {
pl x = q.top();
q.pop();
ll cD = x.f;
ll cV = x.s;
if (cV == eV) {
return cD;
}
// ps(cV);
if (cD > dist[cV]) {
continue;
}
// assert(cV != lin(2, 2, 2));
for (pi aE : aL[cV]) {
int aV = aE.f;
ll eC = aE.s;
// assert(aV != lin(2, 3, 2));
if (cD + eC < dist[aV]) {
// if (aV == lin(0, 5, 2) && cD + eC == 10) {
// ps("alert!");
// ps(cV, eC);
// }
dist[aV] = cD + eC;
q.push({cD + eC, aV});
}
}
}
// ps(dist[eV]);
assert(false);
return -1;
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> H >> W;
H++, W++;
cin >> A >> B >> C;
cin >> N;
for (int i = 0; i < N; i++) {
int x, y;
cin >> x >> y;
pts.pb({x, y});
}
st = pts[0];
ed = pts[N - 1];
sort(pts.begin(), pts.end());
pts.erase(unique(pts.begin(), pts.end()), pts.end());
N = pts.size();
bfs();
for (int i = 0; i < H; i++) {
for (int j = 0; j < W; j++) {
for (int d = 0; d < 4; d++) {
int nI = i + dI[d], nJ = j + dJ[d];
if (valid(nI, nJ)) {
// kick
int t = d & 1;
assert(t != 2);
aL[lin(i, j, t)].pb({lin(nI, nJ, t), A});
}
}
for (int t = 0; t < 2; t++) {
// kick the ball
aL[lin(i, j, 2)].pb({lin(i, j, t), B});
// ball stop, person run to it
aL[lin(i, j, t)].pb({lin(i, j, 2), distP[i][j] * C});
}
// run with ball
for (int d = 0; d < 4; d++) {
int nI = i + dI[d], nJ = j + dJ[d];
if (valid(nI, nJ)) {
// assert(i != 2 && j != 2 && nI != 2 && nJ != 3);
aL[lin(i, j, 2)].pb({lin(nI, nJ, 2), C});
}
}
// pl edge = {(ll) lin(0, 5, 2), (ll) 1};
// if (count(aL[lin(0, 4, 2)].begin(), aL[lin(0, 4, 2)].end(), edge) != 0){
// ps(i, j);
// }
}
}
// pl edge = {(ll) lin(0, 5, 2), (ll) 1};
// ps("count");
// ps(count(aL[lin(0, 4, 2)].begin(), aL[lin(0, 4, 2)].end(), edge));
int sV = lin(st.f, st.s, 2);
int eV = lin(ed.f, ed.s, 2);
ll ans = dijkstra(sV, eV);
// ps(st, sV);
// ps(dist[sV]);
// for (int i = 0; i < H; i++) {
// for (int j = 0; j < W; j++) {
// ps(i, j, dist[lin(i, j, 2)]);
// ps(i, j, distP[i][j]);
// }
// }
cout << ans << endl;
}
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