This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/* ************************************************************************** */
/* */
/* ::: ::: ::: */
/* Problem Number: 10048 :+: :+: :+: */
/* +:+ +:+ +:+ */
/* By: js9028 <boj.kr/u/js9028> +#+ +#+ +#+ */
/* +#+ +#+ +#+ */
/* https://boj.kr/10048 #+# #+# #+# */
/* Solved: 2024/09/13 17:30:05 by js9028 ### ### ##.kr */
/* */
/* ************************************************************************** */
#include<queue>
#include<vector>
#include<iostream>
#include<array>
using namespace std;
#define fastio (ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL))
typedef long long ll;
typedef long double lld;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
const int MAXSIZE = 2000000;
const long long INF = 1e18 + 5;
const double EPSILON = 1e-14;
const ll DIV = 2000003;
const long double pi = 3.14159265358979323846264338327950288419716939937510L;
int n, m;
ll x;
ll hei[100055];
vector<pair<int, ll>> adj[100055];
ll dist[100055];
ll bfs()
{
ll ans = INF;
priority_queue<array<ll, 3>, vector<array<ll, 3>>, greater<array<ll, 3>>> pq;
pq.push({ 0ll, 1ll, x });
fill(dist, dist + n + 3, INF);
dist[1] = 0;
while (!pq.empty())
{
auto [d, cur, h] = pq.top();
pq.pop();
if (cur == n)
{
ans = min(ans, d + (hei[n] - h));
}
for (auto& nxt : adj[cur])
{
ll nd = dist[cur] + nxt.second;
ll nh = h - nxt.second;
if (nh < 0)
{
nd += -nh;
nh = 0;
}
if (nh > hei[nxt.first])
{
nd += nh - hei[nxt.first];
nh = hei[nxt.first];
}
if (dist[nxt.first] <= nd || hei[cur] < nxt.second)
continue;
dist[nxt.first] = nd;
pq.push({ nd, (ll)nxt.first, nh });
}
}
return ans == INF ? -1 : ans;
}
int main()
{
fastio;
cin >> n >> m >> x;
for (int i = 1; i <= n; i++)
cin >> hei[i];
for (int i = 0; i < m; i++)
{
int a, b, c;
cin >> a >> b >> c;
adj[a].push_back({ b, c });
adj[b].push_back({ a, c });
}
cout << bfs();
return 0;
}
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