#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define pb push_back
const ll N = 105;
const ll inf = 1e9 + 37;
#define endl '\n'
/*
- have fun!
- monovariants?
- invariants?
- bs on ans?
- phrase it differently?
- quirky constraints?
- dp?
- greedy?
- find slow solution and try to optimize?
*/
void solve(void){
int n;
string s;
cin >> n >> s;
s = "0" + s;
for(int i = 1; i <= n; ++i){
if(s[i] == 'R') s[i] = 0;
else if(s[i] == 'G') s[i] = 1;
else if(s[i] == 'Y') s[i] = 2;
}
vector<int> k[3];
k[0].pb(0);
k[1].pb(0);
k[2].pb(0);
for(int i = 1; i <= n; ++i)
k[(int)s[i]].push_back(i);
vector<array<int, 3> > pre(n + 1, array<int, 3>{0, 0, 0});
for(int i = 1; i <= n; ++i){
pre[i] = pre[i - 1];
pre[i][s[i]]++;
}
int dp[n + 1][n + 1][n + 1][3];
for(int r = 0; r <= n; ++r)
for(int g = 0; g <= n; ++g)
for(int y = 0; y <= n; ++y)
for(int c = 0; c <3; ++c)
dp[r][g][y][c] = inf;
dp[0][0][0][0] = dp[0][0][0][1] = dp[0][0][0][2] = 0;
int c[3] = {0};
// cout << pre[n][0] << ' ' << pre[n][1] << ' ' << pre[n][2] << endl;
for(c[0] = 0; c[0] <= pre[n][0]; ++c[0]){
for(c[1] = 0; c[1] <= pre[n][1]; ++c[1]){
for(c[2] = 0; c[2] <= pre[n][2]; ++c[2]){
for(int col = 0; col <3; ++col){
if(!c[0] and !c[1] and !c[2])
continue;
int& ans = dp[c[0]][c[1]][c[2]][col];
if(c[col] <= 0){
// cout << c[0] << ' ' << c[1] << ' ' << c[2] << ' ' << col << endl;
continue;
}
// cout << c[0] << ' ' << c[1] << ' ' << c[2] << ' ' << col << endl;
int i = c[0] + c[1] + c[2];
int ni = k[col][c[col]], d = 0;
for(int j = 0; j <3 ; ++j){
if(j == col)
continue;
d += (pre[ni][j] >= c[j] ? 0 : c[j] - pre[ni][j]);
}
ni += d;
for(int j = 0; j <3; ++j){
if(j == col)
continue;
ans = min(ans, dp[c[0] - (col == 0)][c[1] - (col == 1)][c[2] - (col == 2)][j] + ni - i);
}
}
}
}
}
int ans = inf;
for(int i = 0; i < 3; ++i){
ans = min(ans, dp[pre[n][0]][pre[n][1]][pre[n][2]][i]);
// cout << dp[pre[n][0]][pre[n][1]][pre[n][2]][i] << ' ';
}
cout << ans << endl;
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
// signed t; cin >> t; while(t--)
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
452 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Incorrect |
1 ms |
456 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
452 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Incorrect |
1 ms |
456 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
475 ms |
757548 KB |
Output is correct |
3 |
Correct |
427 ms |
751860 KB |
Output is correct |
4 |
Correct |
426 ms |
757860 KB |
Output is correct |
5 |
Correct |
424 ms |
757328 KB |
Output is correct |
6 |
Correct |
429 ms |
757412 KB |
Output is correct |
7 |
Correct |
433 ms |
752016 KB |
Output is correct |
8 |
Correct |
427 ms |
751864 KB |
Output is correct |
9 |
Correct |
428 ms |
746064 KB |
Output is correct |
10 |
Correct |
433 ms |
757328 KB |
Output is correct |
11 |
Correct |
431 ms |
757620 KB |
Output is correct |
12 |
Correct |
63 ms |
104528 KB |
Output is correct |
13 |
Correct |
146 ms |
244560 KB |
Output is correct |
14 |
Correct |
250 ms |
426068 KB |
Output is correct |
15 |
Incorrect |
428 ms |
757548 KB |
Output isn't correct |
16 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
452 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Incorrect |
1 ms |
456 KB |
Output isn't correct |
11 |
Halted |
0 ms |
0 KB |
- |