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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#168816 | #5458. Shortest Path Query | syksykCCC | WA | 57ms | 9128kb | C++14 | 2.0kb | 2023-09-08 22:40:45 | 2023-09-08 22:40:45 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<pair<int, int>> vpii;
const int N = 5e4 + 5, M = 1e5 + 5, R = 1023;
vpii G[N], conv[R + 1]; // (w = 0, w = 1)
struct query { ll u, a, b, id, ans; } Q[N];
int n, m, q;
void add(vpii &c, int x, int y) {
if(c.empty()) { c.emplace_back(x, y); return; }
if(c.back().second <= y) return;
if(c.back().first == x) y = min(c.back().second, y), c.pop_back();
while(c.size() > 1) {
int e = (int)c.size() - 1;
if((ll)(c[e-1].second - c[e].second) * (c[e].first - x)
<= (ll)(c[e].second - y) * (c[e-1].first - c[e].first)) c.pop_back();
else break;
}
c.emplace_back(x, y);
}
vpii merge(const vpii &A, const vpii &B, int dx, int dy) {
int i = 0, j = 0;
vpii res;
while(i < A.size() && j < B.size()) {
if(A[i].first <= B[j].first + dx) add(res, A[i].first, A[i].second), i++;
else add(res, B[j].first + dx, B[j].second + dy), j++;
}
for(; i < A.size(); i++) add(res, A[i].first, A[i].second);
for(; j < B.size(); j++) add(res, B[j].first + dx, B[j].second + dy);
return res;
}
int main() {
scanf("%d %d", &n, &m);
for(int i = 1; i <= m; i++) {
int u, v, c;
scanf("%d %d %d", &u, &v, &c);
G[v].emplace_back(u, c); // reversed edge
}
scanf("%d", &q);
for(int i = 1; i <= q; i++) {
scanf("%lld %lld %lld", &Q[i].a, &Q[i].b, &Q[i].u);
Q[i].id = i;
}
sort(Q + 1, Q + q + 1, [&](const query &A, const query &B){ return A.u < B.u; });
conv[1].emplace_back(0, 0);
int cur = 1;
for(int u = 1; u <= n; u++) {
if(u > R) conv[u & R].clear();
for(auto e : G[u]) {
int v = e.first, w = e.second;
conv[u & R] = merge(conv[u & R], conv[v & R], w == 0, w == 1);
}
while(cur <= q && Q[cur].u == u) {
ll ans = LLONG_MAX;
for(auto p : conv[u & R]) {
ans = min(ans, p.first * Q[cur].a + p.second * Q[cur].b);
}
Q[cur++].ans = ans;
}
}
sort(Q + 1, Q + q + 1, [&](const query &A, const query &B){ return A.id < B.id; });
for(int i = 1; i <= q; i++) printf("%lld\n", Q[i].ans);
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 6776kb
input:
4 4 1 2 0 1 3 1 2 4 0 3 4 1 3 3 5 2 3 2 4 2 3 4
output:
3 4 4
result:
ok 3 number(s): "3 4 4"
Test #2:
score: -100
Wrong Answer
time: 57ms
memory: 9128kb
input:
50000 100000 1 2 1 2 3 0 3 4 1 4 5 0 5 6 1 6 7 0 7 8 1 8 9 1 9 10 0 10 11 1 11 12 1 12 13 1 13 14 0 14 15 0 15 16 0 16 17 0 17 18 1 18 19 1 19 20 0 20 21 1 21 22 0 22 23 0 23 24 1 24 25 1 25 26 0 26 27 1 27 28 0 28 29 0 29 30 0 30 31 0 31 32 1 32 33 0 33 34 1 34 35 1 35 36 1 36 37 1 37 38 0 38 39 0 ...
output:
171090050 213493702 236693474 259699419 89732820 16685198 47102088 64713954 46949896 245672377 94777502 84753103 267419449 173654876 216482422 147454419 111021650 80187604 184782450 78138570 86528820 207116030 191332392 202049239 297586630 173714177 174899498 97998224 96431009 280559577 164349486 27...
result:
wrong answer 1st numbers differ - expected: '164602050', found: '171090050'