// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),erase(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
//#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<pii,int>
#define mpp make_pair
#define fi first
#define se second
const int inf=1e9;
const int mod=1e9+7;
const int maxn=200005;
const int bl=650;
const int maxs=655;
const int maxm=200005;
const int maxq=500005;
const int maxl=20;
const int maxa=250000;
const int root=3;
/*
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
const int iroot=power(3,mod-2);
*/
const int base=101;
int dp[202][202][202][3],cost[404][404];
void solve(){
int n;string s;cin >> n >> s;
vector<vector<int>> v(3);
for(int i=0;i<3;i++) v[i].push_back(0);
for(int i=0;i<n;i++) v[(s[i]=='R'?0:(s[i]=='G'?1:2))].push_back(i+1);
int a=(int)v[0].size()-1,b=(int)v[1].size()-1,c=(int)v[2].size()-1;
if(a+b+c+1<2*max({a,b,c})){
cout << -1 << '\n';
return;
}
for(int i=0;i<=a;i++) for(int j=0;j<=b;j++) for(int k=0;k<=c;k++) for(int d=0;d<=2;d++) dp[i][j][k][d]=inf;
for(int i=1;i<=n;i++){
for(int k=0;k<3;k++){
int cur=0;
for(int a:v[k]) cur+=(a>i),cost[i][a]=cur;
}
}
for(int i=0;i<3;i++) dp[0][0][0][i]=0;
for(int i=0;i<=a;i++) for(int j=0;j<=b;j++) for(int k=0;k<=c;k++){
if(i>=1) dp[i][j][k][0]=min(dp[i-1][j][k][1],dp[i-1][j][k][2])+cost[v[0][i]][v[1][j]]+cost[v[0][i]][v[2][k]];
if(j>=1) dp[i][j][k][1]=min(dp[i][j-1][k][0],dp[i][j-1][k][2])+cost[v[1][j]][v[0][i]]+cost[v[1][j]][v[2][k]];
if(k>=1) dp[i][j][k][2]=min(dp[i][j][k-1][0],dp[i][j][k-1][1])+cost[v[2][k]][v[0][i]]+cost[v[2][k]][v[1][j]];
}
int ans=inf;
for(int i=0;i<3;i++) ans=min(ans,dp[a][b][c][i]);
cout << ans << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
1492 KB |
Output is correct |
19 |
Correct |
1 ms |
1236 KB |
Output is correct |
20 |
Correct |
1 ms |
1492 KB |
Output is correct |
21 |
Correct |
1 ms |
1620 KB |
Output is correct |
22 |
Correct |
1 ms |
1108 KB |
Output is correct |
23 |
Correct |
1 ms |
1364 KB |
Output is correct |
24 |
Correct |
1 ms |
1108 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
2 ms |
2004 KB |
Output is correct |
28 |
Correct |
1 ms |
1492 KB |
Output is correct |
29 |
Correct |
1 ms |
1492 KB |
Output is correct |
30 |
Correct |
1 ms |
1492 KB |
Output is correct |
31 |
Correct |
1 ms |
1364 KB |
Output is correct |
32 |
Correct |
1 ms |
1492 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
1748 KB |
Output is correct |
36 |
Correct |
1 ms |
1236 KB |
Output is correct |
37 |
Correct |
1 ms |
1108 KB |
Output is correct |
38 |
Correct |
1 ms |
1364 KB |
Output is correct |
39 |
Correct |
1 ms |
1492 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
31 ms |
97024 KB |
Output is correct |
3 |
Correct |
32 ms |
96600 KB |
Output is correct |
4 |
Correct |
33 ms |
97028 KB |
Output is correct |
5 |
Correct |
32 ms |
97056 KB |
Output is correct |
6 |
Correct |
34 ms |
97064 KB |
Output is correct |
7 |
Correct |
32 ms |
96584 KB |
Output is correct |
8 |
Correct |
33 ms |
96576 KB |
Output is correct |
9 |
Correct |
38 ms |
96204 KB |
Output is correct |
10 |
Correct |
33 ms |
97076 KB |
Output is correct |
11 |
Correct |
34 ms |
97052 KB |
Output is correct |
12 |
Correct |
11 ms |
26452 KB |
Output is correct |
13 |
Correct |
19 ms |
46164 KB |
Output is correct |
14 |
Correct |
25 ms |
66468 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
468 KB |
Output is correct |
7 |
Correct |
0 ms |
468 KB |
Output is correct |
8 |
Correct |
0 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
468 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
468 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
1492 KB |
Output is correct |
19 |
Correct |
1 ms |
1236 KB |
Output is correct |
20 |
Correct |
1 ms |
1492 KB |
Output is correct |
21 |
Correct |
1 ms |
1620 KB |
Output is correct |
22 |
Correct |
1 ms |
1108 KB |
Output is correct |
23 |
Correct |
1 ms |
1364 KB |
Output is correct |
24 |
Correct |
1 ms |
1108 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
2 ms |
2004 KB |
Output is correct |
28 |
Correct |
1 ms |
1492 KB |
Output is correct |
29 |
Correct |
1 ms |
1492 KB |
Output is correct |
30 |
Correct |
1 ms |
1492 KB |
Output is correct |
31 |
Correct |
1 ms |
1364 KB |
Output is correct |
32 |
Correct |
1 ms |
1492 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
1 ms |
1748 KB |
Output is correct |
36 |
Correct |
1 ms |
1236 KB |
Output is correct |
37 |
Correct |
1 ms |
1108 KB |
Output is correct |
38 |
Correct |
1 ms |
1364 KB |
Output is correct |
39 |
Correct |
1 ms |
1492 KB |
Output is correct |
40 |
Correct |
0 ms |
212 KB |
Output is correct |
41 |
Correct |
0 ms |
212 KB |
Output is correct |
42 |
Correct |
0 ms |
340 KB |
Output is correct |
43 |
Correct |
31 ms |
97024 KB |
Output is correct |
44 |
Correct |
32 ms |
96600 KB |
Output is correct |
45 |
Correct |
33 ms |
97028 KB |
Output is correct |
46 |
Correct |
32 ms |
97056 KB |
Output is correct |
47 |
Correct |
34 ms |
97064 KB |
Output is correct |
48 |
Correct |
32 ms |
96584 KB |
Output is correct |
49 |
Correct |
33 ms |
96576 KB |
Output is correct |
50 |
Correct |
38 ms |
96204 KB |
Output is correct |
51 |
Correct |
33 ms |
97076 KB |
Output is correct |
52 |
Correct |
34 ms |
97052 KB |
Output is correct |
53 |
Correct |
11 ms |
26452 KB |
Output is correct |
54 |
Correct |
19 ms |
46164 KB |
Output is correct |
55 |
Correct |
25 ms |
66468 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
0 ms |
212 KB |
Output is correct |
58 |
Correct |
30 ms |
38996 KB |
Output is correct |
59 |
Correct |
35 ms |
49188 KB |
Output is correct |
60 |
Correct |
34 ms |
44868 KB |
Output is correct |
61 |
Correct |
32 ms |
43400 KB |
Output is correct |
62 |
Correct |
0 ms |
212 KB |
Output is correct |
63 |
Correct |
37 ms |
93248 KB |
Output is correct |
64 |
Correct |
41 ms |
81620 KB |
Output is correct |
65 |
Correct |
42 ms |
71124 KB |
Output is correct |
66 |
Correct |
33 ms |
43988 KB |
Output is correct |
67 |
Correct |
31 ms |
42340 KB |
Output is correct |
68 |
Correct |
34 ms |
45292 KB |
Output is correct |
69 |
Correct |
33 ms |
43604 KB |
Output is correct |
70 |
Correct |
35 ms |
47124 KB |
Output is correct |
71 |
Correct |
33 ms |
42972 KB |
Output is correct |
72 |
Correct |
0 ms |
212 KB |
Output is correct |
73 |
Correct |
0 ms |
212 KB |
Output is correct |