[BOJ] 8992 집기 게임

집기 게임

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
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
#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 444
#define ll long long
#define pll pair<ll, ll>
#define vpll vector<pll>
#define vall3 vector<array<ll,3>>
#define all5 array<ll,5>
#define vall5 vector<all5>
#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 source = 441, sink = 442;
vall5 edges;
ll cap[MAX_N][MAX_N], cost[MAX_N][MAX_N], flo[MAX_N][MAX_N], path[MAX_N];
vll adj[MAX_N];


ll ccw(pll& a, pll& b, pll& c) {
ll res = a.first * b.second + b.first * c.second + c.first * a.second;
res -= (a.second * b.first + b.second * c.first + c.second * a.first);
if(res > 0) return 1;
if(res == 0) return 0;
return -1;
}

bool intersect(all5& x, all5& y) {
pll a = {x[0], x[1]};
pll b = {x[2], x[3]};
pll c = {y[0], y[1]};
pll d = {y[2], y[3]};

ll ab = ccw(a, b, c) * ccw(a, b, d);
ll cd = ccw(c, d, a) * ccw(c, d, b);

if(ab == 0 and cd == 0) {
if(a > b) swap(a, b);
if(c > d) swap(c, d);
return c <= b and a <= d;
}
return ab <= 0 and cd <= 0;
}

void connect(pll u, pll v) {
adj[u.first].push_back(v.first);
adj[v.first].push_back(u.first);

cap[u.first][v.first] = 1;

cost[u.first][v.first] = -u.second * v.second;
cost[v.first][u.first] = u.second * v.second;
}

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

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 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;
}

pll solve(ll n, ll m) {
for(ll i = 0; i < n; i++) {
for(ll j = n; j < n + m; j++) {
if(intersect(edges[i], edges[j])) {
connect({i + 1, edges[i][4]}, { j + 1, edges[j][4]});
}
}
}

for(ll i = 0; i < n; i++) {
connect({source, 0}, {i + 1, 0});
}
for(ll i = n; i < n + m; i++) {
connect({i + 1, 0}, {sink, 0});
}
ll pick = 0, weight = 0;
while(bfs(source, sink)) {
ll v = sink, mi = INT_MAX, sum = 0;
while(source != v) {
ll u = path[v];
mi = min(mi, cap[u][v] - flo[u][v]);
v = u;
}

v = sink;
while(source != v) {
ll u = path[v];
sum += mi * cost[u][v];
flo[u][v] += mi;
flo[v][u] -= mi;

v = u;
}

pick++;
weight += sum;

}
return {pick, -weight};
}

int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.setf(ios::fixed);
cout.precision(6);
ll tc, n, m;

cin>>tc;
while(tc--) {
cin>>n>>m;
edges.clear();
for(ll i = 0; i < MAX_N; i++) adj[i].clear();
memset(flo, 0, sizeof flo);
memset(cap, 0, sizeof cap);
memset(cost, 0, sizeof cost);
for(ll i = 1,a,b,c,d,e; i <= n + m; i++) {
cin>>a>>b>>c>>d>>e;
edges.push_back({a,b,c,d,e});
}

auto [a, b] = solve(n, m);
cout<<a<<' '<<b<<'\n';
}

return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/04/29/PS/BOJ/8992/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.