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70 changes: 66 additions & 4 deletions Appendix E/solutions/27501.cpp
Original file line number Diff line number Diff line change
@@ -1,11 +1,73 @@
// Authored by : BaaaaaaaaaaarkingDog
// Authored by : uhwan0723
// Co-authored by : -
// http://boj.kr/****************
// http://boj.kr/7386ea6f37f84fa7a16dcd892d847b97
#include <bits/stdc++.h>
using namespace std;

int main(void){
enum COLOR{
R, G, B
};

const int mn = 5e5+5;
int n, d[mn][3], beauty[mn][3], res[mn];
vector<int> adj[mn];

int dfs(int par, int cur, int color){
if(d[cur][color] != -1) return d[cur][color];
d[cur][color] = 0;
for(int nxt : adj[cur]){
if(nxt == par) continue;
int mx = 0;
for(int c = R; c <= B; ++c){
if(c == color) continue;
mx = max(mx, dfs(cur, nxt, c));
}
d[cur][color] += mx;
}
return d[cur][color] += beauty[cur][color];
}

void btrace(int par, int cur, int color){
res[cur] = color;
for(int nxt : adj[cur]){
if(nxt == par) continue;
int mx = 0, col = 0;
for(int c = R; c <= B; ++c){
if(c == color || d[nxt][c] <= mx) continue;
mx = d[nxt][c];
col = c;
}
btrace(cur, nxt, col);
}
}

int main(){
ios::sync_with_stdio(0);
cin.tie(0);

cin >> n;
for(int i = 0; i < n-1; ++i){
int u, v;
cin >> u >> v;
adj[u].push_back(v);
adj[v].push_back(u);
}
for(int i = 1; i <= n; ++i)
cin >> beauty[i][R] >> beauty[i][G] >> beauty[i][B];

for(int i = 1; i <= n; ++i)
fill(d[i], d[i]+3, -1);

int mx = 0, start_col = 0;
for(int c = R; c <= B; ++c){
if(dfs(-1, 1, c) <= mx) continue;
mx = d[1][c];
start_col = c;
}
btrace(-1, 1, start_col);

}
char col[3] = {'R', 'G', 'B'};
cout << mx << '\n';
for(int i = 1; i <= n; ++i)
cout << col[res[i]];
}