[BOJ] 열혈강호 6

열혈강호 6

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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

#define MAX_N 1010
#define ll long long
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vall3 vector<array<ll,3>>
#define vll vector<ll>
#define vs vector<string>
#define usll unordered_set<ll>
#define vvs vector<vs>
#define vvll vector<vll>
#define all(a) begin(a), end(a)
using namespace std;

ll n, m, source = 801, sink = 802;
vll adj[MAX_N];
ll cap[MAX_N][MAX_N], flo[MAX_N][MAX_N], cost[MAX_N][MAX_N], path[MAX_N];

bool bfs(ll u, ll v) {
bool inc[MAX_N];
vll w(MAX_N, 987654321);

memset(path, 0, sizeof path);
memset(inc, 0, sizeof inc);
queue<ll> q;
inc[u] = true;
q.push(u);
w[u] = 0;

while(!q.empty()) {
auto n = q.front(); q.pop();
inc[n] = false;
for(auto& m : adj[n]) {
if(cap[n][m] - flo[n][m] > 0 and cost[n][m] + w[n] < w[m]) {
w[m] = cost[n][m] + w[n];
path[m] = n;
if(!inc[m]) {
inc[m] = true;
q.push(m);
}
}
}
}

return path[v] != 0;
}

pll solve() {
ll w = 0, c = 0;
while(bfs(source, sink)) {
ll v = sink;
while(v != source) {
ll u = path[v];
c += cost[u][v];

flo[u][v] += 1;
flo[v][u] -= 1;
v = u;
}
w++;
}

return {w,c};
}

int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.setf(ios::fixed);
cout.precision(6);
cin>>n>>m;
for(ll i = 1, w, c, t, gap = 400; i <= n; i++) {
cin>>t;
while(t--) {
cin>>w>>c;
adj[i].push_back(w + gap);
adj[w + gap].push_back(i);
cap[i][w+gap] = 1;
cost[i][w+gap] = -c;
cost[w+gap][i] = c;
}
}

for(ll i = 1; i <= n; i++) {
adj[source].push_back(i);
adj[i].push_back(source);
cap[source][i] = 1;
}

for(ll i = 1, gap = 400; i <= m; i++) {
adj[i + gap].push_back(sink);
adj[sink].push_back(i + gap);
cap[i + gap][sink] = 1;
}

auto [w, c] = solve();
cout<<w<<'\n'<<-c<<'\n';

return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/04/28/PS/BOJ/11409/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.