[BOJ] 11111 두부장수 장홍준 2

두부장수 장홍준 2

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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 3003
#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 source = 3001, sink = 3002, blue = 1, green = 1, gap = 1251, n, m;
ll path[MAX_N], cost[MAX_N][MAX_N], flo[MAX_N][MAX_N], cap[MAX_N][MAX_N];
vll adj[MAX_N];

ll table[5][5]{{10,8,7,5,1},{8,6,4,3,1},{7,4,3,2,1},{5,3,2,2,1},{1,1,1,1,0}};

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;
q.push(u);
w[u] = 0;
inc[u] = true;

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

mi = min(mi, cap[u][v] - flo[u][v]);

v = u;
}

v = sink;
ll sum = 0;
while(source != v) {
ll u = path[v];

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

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

v = u;
}
res += min(sum, 0ll);
}
return -res;
}

ll cvt(char ch) {
if(ch=='A') return 0;
if(ch=='B') return 1;
if(ch=='C') return 2;
if(ch=='D') return 3;
return 4;
}

ll c(ll a, ll b) {
return table[a][b];
}

int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.setf(ios::fixed);
cout.precision(6);
cin>>n>>m;
char ch;
ll matrix[50][50];
ll id[50][50];
ll dy[4]{-1,0,1,0}, dx[4]{0,1,0,-1};
for(ll i = 0; i < n; i++) {
for(ll j = 0; j < m; j++) {
cin>>ch;
matrix[i][j] = cvt(ch);
id[i][j] = ((i + j) & 1)? green++ + gap : blue++;
}
}

for(ll i = 0; i < n; i++) {
for(ll j = 0; j < m; j++) {
if((i + j) & 1) continue;
for(ll k = 0; k < 4; k++) {
ll ny = i + dy[k], nx = j + dx[k];
if(0 <= ny and ny < n and 0 <= nx and nx < m) {
ll you = id[ny][nx], me = id[i][j];

adj[you].push_back(me);
adj[me].push_back(you);

cap[me][you] = 1;

cost[me][you] = -c(matrix[i][j], matrix[ny][nx]);
cost[you][me] = c(matrix[i][j], matrix[ny][nx]);
}
}
}
}

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

cap[source][i] = 1;
}

for(ll i = 1; i < green; i++) {
adj[sink].push_back(i + gap);
adj[i + gap].push_back(sink);

cap[i + gap][sink] = 1;
}

cout<<solve();
return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/04/28/PS/BOJ/11111/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.