#include<bits/stdc++.h>
using namespace std;
const int N = 402, INF = 1e9;
int n, a[N], dp[2][3][N][N], pref[3][N][N];
vector<int> kth_char[3];
string s;
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin>>n>>s;
for(int i=0; i<n; ++i) {
if(s[i] == 'R') a[i] = 0;
else if(s[i] == 'G') a[i] = 1;
else a[i] = 2;
}
for(int c=0; c<3; ++c) {
kth_char[c].push_back(-1);
}
for(int i=0; i<n; ++i) {
kth_char[a[i]].push_back(i);
}
for(int c=0; c<3; ++c) {
for(int i=0; i<(int)kth_char[c].size(); ++i) {
int cnt = i;
for(int j=0; j<n; ++j) {
if(j!=0) pref[c][i][j] = pref[c][i][j-1];
if(cnt>0 && a[j]==c) {
pref[c][i][j] ++;
cnt --;
}
}
}
}
for(int c=0; c<3; ++c) {
for(int i=0; i<=n; ++i) {
for(int j=0; j<=n; ++j) {
dp[1][c][i][j] = INF;
}
}
dp[1][c][0][0] = 0;
}
for(int it=0; it<n; ++it) {
for(int c=0; c<3; ++c) {
for(int i=0; i<(int)kth_char[0].size(); ++i) {
for(int j=0; j<(int)kth_char[1].size(); ++j) {
int k = it+1 - i - j;
dp[it%2][c][i][j] = INF;
if(k < 0 || k >= (int)kth_char[2].size()) continue;
if(c==0 && i>0) {
int pos = kth_char[c][i];
dp[it%2][c][i][j] = min(dp[(it+1)%2][1][i-1][j], dp[(it+1)%2][2][i-1][j]) + pos + 1 - (pref[0][i][pos] + pref[1][j][pos] + pref[2][k][pos]) ;
}
if(c==1 && j>0) {
int pos = kth_char[c][j];
dp[it%2][c][i][j] = min(dp[(it+1)%2][0][i][j-1], dp[(it+1)%2][2][i][j-1]) + pos + 1 - (pref[0][i][pos] + pref[1][j][pos] + pref[2][k][pos]) ;
}
if(c==2 && k>0) {
int pos = kth_char[c][k];
dp[it%2][c][i][j] = min(dp[(it+1)%2][0][i][j], dp[(it+1)%2][1][i][j]) + pos + 1 - (pref[0][i][pos] + pref[1][j][pos] + pref[2][k][pos]) ;
}
}
}
}
}
int ans = INF;
for(int c=0; c<3; ++c) {
ans = min(ans, dp[(n-1)%2][c][kth_char[0].size()-1][kth_char[1].size()-1]);
}
if(ans < INF) cout<<ans;
else cout<<-1;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
384 KB |
Output is correct |
| 3 |
Correct |
5 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
512 KB |
Output is correct |
| 5 |
Correct |
5 ms |
512 KB |
Output is correct |
| 6 |
Correct |
5 ms |
512 KB |
Output is correct |
| 7 |
Correct |
5 ms |
512 KB |
Output is correct |
| 8 |
Correct |
5 ms |
512 KB |
Output is correct |
| 9 |
Correct |
5 ms |
512 KB |
Output is correct |
| 10 |
Correct |
5 ms |
512 KB |
Output is correct |
| 11 |
Correct |
5 ms |
512 KB |
Output is correct |
| 12 |
Correct |
5 ms |
512 KB |
Output is correct |
| 13 |
Correct |
5 ms |
512 KB |
Output is correct |
| 14 |
Correct |
5 ms |
512 KB |
Output is correct |
| 15 |
Correct |
5 ms |
512 KB |
Output is correct |
| 16 |
Correct |
5 ms |
512 KB |
Output is correct |
| 17 |
Correct |
5 ms |
512 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
384 KB |
Output is correct |
| 3 |
Correct |
5 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
512 KB |
Output is correct |
| 5 |
Correct |
5 ms |
512 KB |
Output is correct |
| 6 |
Correct |
5 ms |
512 KB |
Output is correct |
| 7 |
Correct |
5 ms |
512 KB |
Output is correct |
| 8 |
Correct |
5 ms |
512 KB |
Output is correct |
| 9 |
Correct |
5 ms |
512 KB |
Output is correct |
| 10 |
Correct |
5 ms |
512 KB |
Output is correct |
| 11 |
Correct |
5 ms |
512 KB |
Output is correct |
| 12 |
Correct |
5 ms |
512 KB |
Output is correct |
| 13 |
Correct |
5 ms |
512 KB |
Output is correct |
| 14 |
Correct |
5 ms |
512 KB |
Output is correct |
| 15 |
Correct |
5 ms |
512 KB |
Output is correct |
| 16 |
Correct |
5 ms |
512 KB |
Output is correct |
| 17 |
Correct |
5 ms |
512 KB |
Output is correct |
| 18 |
Correct |
5 ms |
896 KB |
Output is correct |
| 19 |
Correct |
5 ms |
896 KB |
Output is correct |
| 20 |
Correct |
6 ms |
896 KB |
Output is correct |
| 21 |
Correct |
5 ms |
896 KB |
Output is correct |
| 22 |
Correct |
5 ms |
896 KB |
Output is correct |
| 23 |
Correct |
5 ms |
896 KB |
Output is correct |
| 24 |
Correct |
5 ms |
896 KB |
Output is correct |
| 25 |
Correct |
5 ms |
896 KB |
Output is correct |
| 26 |
Correct |
5 ms |
896 KB |
Output is correct |
| 27 |
Correct |
5 ms |
896 KB |
Output is correct |
| 28 |
Correct |
5 ms |
896 KB |
Output is correct |
| 29 |
Correct |
5 ms |
896 KB |
Output is correct |
| 30 |
Correct |
5 ms |
896 KB |
Output is correct |
| 31 |
Correct |
5 ms |
896 KB |
Output is correct |
| 32 |
Correct |
5 ms |
896 KB |
Output is correct |
| 33 |
Correct |
5 ms |
896 KB |
Output is correct |
| 34 |
Correct |
5 ms |
896 KB |
Output is correct |
| 35 |
Correct |
5 ms |
896 KB |
Output is correct |
| 36 |
Correct |
5 ms |
896 KB |
Output is correct |
| 37 |
Correct |
5 ms |
768 KB |
Output is correct |
| 38 |
Correct |
5 ms |
768 KB |
Output is correct |
| 39 |
Correct |
5 ms |
896 KB |
Output is correct |
| 40 |
Correct |
5 ms |
768 KB |
Output is correct |
| 41 |
Correct |
5 ms |
896 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
384 KB |
Output is correct |
| 2 |
Correct |
55 ms |
3840 KB |
Output is correct |
| 3 |
Correct |
55 ms |
3840 KB |
Output is correct |
| 4 |
Correct |
53 ms |
3840 KB |
Output is correct |
| 5 |
Correct |
54 ms |
3840 KB |
Output is correct |
| 6 |
Correct |
57 ms |
3960 KB |
Output is correct |
| 7 |
Correct |
57 ms |
3960 KB |
Output is correct |
| 8 |
Correct |
55 ms |
3916 KB |
Output is correct |
| 9 |
Correct |
56 ms |
3840 KB |
Output is correct |
| 10 |
Correct |
56 ms |
3964 KB |
Output is correct |
| 11 |
Correct |
54 ms |
3840 KB |
Output is correct |
| 12 |
Correct |
13 ms |
2176 KB |
Output is correct |
| 13 |
Correct |
22 ms |
2816 KB |
Output is correct |
| 14 |
Correct |
35 ms |
3328 KB |
Output is correct |
| 15 |
Correct |
58 ms |
3840 KB |
Output is correct |
| 16 |
Correct |
55 ms |
3840 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
384 KB |
Output is correct |
| 2 |
Correct |
4 ms |
384 KB |
Output is correct |
| 3 |
Correct |
5 ms |
384 KB |
Output is correct |
| 4 |
Correct |
5 ms |
512 KB |
Output is correct |
| 5 |
Correct |
5 ms |
512 KB |
Output is correct |
| 6 |
Correct |
5 ms |
512 KB |
Output is correct |
| 7 |
Correct |
5 ms |
512 KB |
Output is correct |
| 8 |
Correct |
5 ms |
512 KB |
Output is correct |
| 9 |
Correct |
5 ms |
512 KB |
Output is correct |
| 10 |
Correct |
5 ms |
512 KB |
Output is correct |
| 11 |
Correct |
5 ms |
512 KB |
Output is correct |
| 12 |
Correct |
5 ms |
512 KB |
Output is correct |
| 13 |
Correct |
5 ms |
512 KB |
Output is correct |
| 14 |
Correct |
5 ms |
512 KB |
Output is correct |
| 15 |
Correct |
5 ms |
512 KB |
Output is correct |
| 16 |
Correct |
5 ms |
512 KB |
Output is correct |
| 17 |
Correct |
5 ms |
512 KB |
Output is correct |
| 18 |
Correct |
5 ms |
896 KB |
Output is correct |
| 19 |
Correct |
5 ms |
896 KB |
Output is correct |
| 20 |
Correct |
6 ms |
896 KB |
Output is correct |
| 21 |
Correct |
5 ms |
896 KB |
Output is correct |
| 22 |
Correct |
5 ms |
896 KB |
Output is correct |
| 23 |
Correct |
5 ms |
896 KB |
Output is correct |
| 24 |
Correct |
5 ms |
896 KB |
Output is correct |
| 25 |
Correct |
5 ms |
896 KB |
Output is correct |
| 26 |
Correct |
5 ms |
896 KB |
Output is correct |
| 27 |
Correct |
5 ms |
896 KB |
Output is correct |
| 28 |
Correct |
5 ms |
896 KB |
Output is correct |
| 29 |
Correct |
5 ms |
896 KB |
Output is correct |
| 30 |
Correct |
5 ms |
896 KB |
Output is correct |
| 31 |
Correct |
5 ms |
896 KB |
Output is correct |
| 32 |
Correct |
5 ms |
896 KB |
Output is correct |
| 33 |
Correct |
5 ms |
896 KB |
Output is correct |
| 34 |
Correct |
5 ms |
896 KB |
Output is correct |
| 35 |
Correct |
5 ms |
896 KB |
Output is correct |
| 36 |
Correct |
5 ms |
896 KB |
Output is correct |
| 37 |
Correct |
5 ms |
768 KB |
Output is correct |
| 38 |
Correct |
5 ms |
768 KB |
Output is correct |
| 39 |
Correct |
5 ms |
896 KB |
Output is correct |
| 40 |
Correct |
5 ms |
768 KB |
Output is correct |
| 41 |
Correct |
5 ms |
896 KB |
Output is correct |
| 42 |
Correct |
4 ms |
384 KB |
Output is correct |
| 43 |
Correct |
55 ms |
3840 KB |
Output is correct |
| 44 |
Correct |
55 ms |
3840 KB |
Output is correct |
| 45 |
Correct |
53 ms |
3840 KB |
Output is correct |
| 46 |
Correct |
54 ms |
3840 KB |
Output is correct |
| 47 |
Correct |
57 ms |
3960 KB |
Output is correct |
| 48 |
Correct |
57 ms |
3960 KB |
Output is correct |
| 49 |
Correct |
55 ms |
3916 KB |
Output is correct |
| 50 |
Correct |
56 ms |
3840 KB |
Output is correct |
| 51 |
Correct |
56 ms |
3964 KB |
Output is correct |
| 52 |
Correct |
54 ms |
3840 KB |
Output is correct |
| 53 |
Correct |
13 ms |
2176 KB |
Output is correct |
| 54 |
Correct |
22 ms |
2816 KB |
Output is correct |
| 55 |
Correct |
35 ms |
3328 KB |
Output is correct |
| 56 |
Correct |
58 ms |
3840 KB |
Output is correct |
| 57 |
Correct |
55 ms |
3840 KB |
Output is correct |
| 58 |
Correct |
48 ms |
3456 KB |
Output is correct |
| 59 |
Correct |
54 ms |
3584 KB |
Output is correct |
| 60 |
Correct |
50 ms |
3704 KB |
Output is correct |
| 61 |
Correct |
51 ms |
3584 KB |
Output is correct |
| 62 |
Correct |
53 ms |
3960 KB |
Output is correct |
| 63 |
Correct |
56 ms |
3840 KB |
Output is correct |
| 64 |
Correct |
60 ms |
3712 KB |
Output is correct |
| 65 |
Correct |
66 ms |
3704 KB |
Output is correct |
| 66 |
Correct |
55 ms |
3576 KB |
Output is correct |
| 67 |
Correct |
58 ms |
3456 KB |
Output is correct |
| 68 |
Correct |
51 ms |
3584 KB |
Output is correct |
| 69 |
Correct |
49 ms |
3584 KB |
Output is correct |
| 70 |
Correct |
52 ms |
3584 KB |
Output is correct |
| 71 |
Correct |
51 ms |
3584 KB |
Output is correct |
| 72 |
Correct |
27 ms |
4352 KB |
Output is correct |
| 73 |
Correct |
9 ms |
2944 KB |
Output is correct |
