[BOJ] 11405 책 구매하기

책 구매하기

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
#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 = 202, sink = 203;
ll flo[MAX_N][MAX_N], cap[MAX_N][MAX_N], cost[MAX_N][MAX_N], path[MAX_N];
vll adj[MAX_N];

bool bfs(ll u, ll v) {
bool inc[MAX_N];
vll w(MAX_N, 987654321);
memset(inc, 0, sizeof inc);
memset(path, 0, sizeof path);
queue<ll> q;
w[u] = 0;
inc[u] = true;
q.push(u);

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 w[n] + cost[n][m] < w[m]) {
w[m] = w[n] + cost[n][m];
path[m] = n;
if(!inc[m]) {
inc[m] = true;
q.push(m);
}
}
}
}
return path[v] != 0;
}

ll solve() {
ll res = 0;
while(bfs(source, sink)) {
ll v = sink, mi = INT_MAX;
while(v != source) {
ll u = path[v];
mi = min(mi, cap[u][v] - flo[u][v]);
v = u;
}

v = sink;

while(v != source) {
ll u = path[v];

res += mi * cost[u][v];

flo[u][v] += mi;
flo[v][u] -= mi;

v = u;
}
}

return res;
}

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; i <= n; i++) {
cin>>w;
adj[source].push_back(i);
adj[i].push_back(source);

cap[source][i] = w;
}

for(ll i = 1, gap = 100, w; i <= m; i++) {
cin>>w;
adj[i + gap].push_back(sink);
adj[sink].push_back(i + gap);

cap[i + gap][sink] = w;
}

for(ll j = 1, gap = 100, w; j <= m; j++) {
for(ll i = 1; i <= n; i++) {
cin>>w;
adj[i].push_back(j + gap);
adj[j + gap].push_back(i);

cap[i][j + gap] = cap[j + gap][sink];
cost[i][j + gap] = w;
cost[j + gap][i] = -w;
}
}

cout<<solve();

return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/04/28/PS/BOJ/11405/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.