#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ff(i,a,b) for(int i=a;i<=b;i++)
#define fb(i,b,a) for(int i=b;i>=a;i--)
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair<int,int> pii;
const int maxn = 405;
const int inf = 1e9 + 5;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
int n;
int niz[maxn];
string s;
int dp[maxn][maxn][maxn][3]; // 0 - najmanji broj operacija, 1 - zadnja boja
int cnt[maxn][3];
vector<int> poz[maxn];
int f(char C){
if(C == 'R')return 0;
if(C == 'G')return 1;
if(C == 'Y')return 2;
assert(false);
}
int main()
{
ios::sync_with_stdio(false);
cout.tie(nullptr);
cin.tie(nullptr);
cin >> n >> s;
ff(i,0,n - 1)niz[i + 1] = f(s[i]);
ff(i,1,n){
ff(j,0,2)cnt[i][j] = cnt[i - 1][j];
cnt[i][niz[i]] += 1;
poz[niz[i]].pb(i);
}
if(max({cnt[n][0], cnt[n][1], cnt[n][2]}) > (n + 1) / 2)return cout << -1, 0;
int R = cnt[n][0], G = cnt[n][1], Y = cnt[n][2];
ff(a,0,R)ff(b,0,G)ff(c,0,Y)ff(i,0,2)dp[a][b][c][i] = inf;
dp[0][0][0][0] = dp[0][0][0][1] = dp[0][0][0][2] = 0;
ff(a,0,R){
ff(b,0,G){
ff(c,0,Y){
ff(i,0,2){
if(a > 0 && i != 0){
// stavaljam R
int kol = dp[a - 1][b][c][i];
kol += max(0, cnt[poz[0][a - 1]][1] - b);
kol += max(0, cnt[poz[0][a - 1]][2] - c);
dp[a][b][c][0] = min(dp[a][b][c][0], kol);
}
if(b > 0 && i != 1){
int kol = dp[a][b - 1][c][i];
kol += max(0, cnt[poz[1][b - 1]][0] - a);
kol += max(0, cnt[poz[1][b - 1]][2] - c);
dp[a][b][c][1] = min(dp[a][b][c][1], kol);
}
if(c > 0 && i != 2){
int kol = dp[a][b][c - 1][i];
kol += max(0, cnt[poz[2][c - 1]][0] - a);
kol += max(0, cnt[poz[2][c - 1]][1] - b);
dp[a][b][c][2] = min(dp[a][b][c][2], kol);
}
}
}
}
}
int rez = inf;
ff(i,0,2)rez = min(rez, dp[R][G][Y][i]);
cout << rez << endl;
return 0;
}
/**
6
RRGGYY
2
RG
20
YYGYYYGGGGRGYYGRGRYG
5
RRGYY
// probati bojenje sahovski ili slicno
**/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
464 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
588 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
464 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
464 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
588 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
464 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
2 ms |
2252 KB |
Output is correct |
19 |
Correct |
2 ms |
1868 KB |
Output is correct |
20 |
Correct |
2 ms |
2252 KB |
Output is correct |
21 |
Correct |
2 ms |
2416 KB |
Output is correct |
22 |
Correct |
2 ms |
1612 KB |
Output is correct |
23 |
Correct |
2 ms |
2124 KB |
Output is correct |
24 |
Correct |
2 ms |
1612 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
3 ms |
3020 KB |
Output is correct |
28 |
Correct |
2 ms |
2252 KB |
Output is correct |
29 |
Correct |
2 ms |
2252 KB |
Output is correct |
30 |
Correct |
2 ms |
2252 KB |
Output is correct |
31 |
Correct |
2 ms |
1996 KB |
Output is correct |
32 |
Correct |
2 ms |
2380 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
2 ms |
2636 KB |
Output is correct |
36 |
Correct |
2 ms |
1868 KB |
Output is correct |
37 |
Correct |
2 ms |
1740 KB |
Output is correct |
38 |
Correct |
2 ms |
2124 KB |
Output is correct |
39 |
Correct |
2 ms |
2256 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
70 ms |
162944 KB |
Output is correct |
3 |
Correct |
69 ms |
162080 KB |
Output is correct |
4 |
Correct |
68 ms |
162884 KB |
Output is correct |
5 |
Correct |
71 ms |
162876 KB |
Output is correct |
6 |
Correct |
69 ms |
162892 KB |
Output is correct |
7 |
Correct |
67 ms |
162180 KB |
Output is correct |
8 |
Correct |
66 ms |
162176 KB |
Output is correct |
9 |
Correct |
69 ms |
161348 KB |
Output is correct |
10 |
Correct |
69 ms |
163040 KB |
Output is correct |
11 |
Correct |
70 ms |
162884 KB |
Output is correct |
12 |
Correct |
21 ms |
44048 KB |
Output is correct |
13 |
Correct |
35 ms |
77124 KB |
Output is correct |
14 |
Correct |
49 ms |
111332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
464 KB |
Output is correct |
7 |
Correct |
1 ms |
460 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
588 KB |
Output is correct |
10 |
Correct |
1 ms |
332 KB |
Output is correct |
11 |
Correct |
1 ms |
460 KB |
Output is correct |
12 |
Correct |
1 ms |
460 KB |
Output is correct |
13 |
Correct |
1 ms |
332 KB |
Output is correct |
14 |
Correct |
2 ms |
464 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
2 ms |
2252 KB |
Output is correct |
19 |
Correct |
2 ms |
1868 KB |
Output is correct |
20 |
Correct |
2 ms |
2252 KB |
Output is correct |
21 |
Correct |
2 ms |
2416 KB |
Output is correct |
22 |
Correct |
2 ms |
1612 KB |
Output is correct |
23 |
Correct |
2 ms |
2124 KB |
Output is correct |
24 |
Correct |
2 ms |
1612 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
332 KB |
Output is correct |
27 |
Correct |
3 ms |
3020 KB |
Output is correct |
28 |
Correct |
2 ms |
2252 KB |
Output is correct |
29 |
Correct |
2 ms |
2252 KB |
Output is correct |
30 |
Correct |
2 ms |
2252 KB |
Output is correct |
31 |
Correct |
2 ms |
1996 KB |
Output is correct |
32 |
Correct |
2 ms |
2380 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
2 ms |
2636 KB |
Output is correct |
36 |
Correct |
2 ms |
1868 KB |
Output is correct |
37 |
Correct |
2 ms |
1740 KB |
Output is correct |
38 |
Correct |
2 ms |
2124 KB |
Output is correct |
39 |
Correct |
2 ms |
2256 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
70 ms |
162944 KB |
Output is correct |
44 |
Correct |
69 ms |
162080 KB |
Output is correct |
45 |
Correct |
68 ms |
162884 KB |
Output is correct |
46 |
Correct |
71 ms |
162876 KB |
Output is correct |
47 |
Correct |
69 ms |
162892 KB |
Output is correct |
48 |
Correct |
67 ms |
162180 KB |
Output is correct |
49 |
Correct |
66 ms |
162176 KB |
Output is correct |
50 |
Correct |
69 ms |
161348 KB |
Output is correct |
51 |
Correct |
69 ms |
163040 KB |
Output is correct |
52 |
Correct |
70 ms |
162884 KB |
Output is correct |
53 |
Correct |
21 ms |
44048 KB |
Output is correct |
54 |
Correct |
35 ms |
77124 KB |
Output is correct |
55 |
Correct |
49 ms |
111332 KB |
Output is correct |
56 |
Correct |
1 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
340 KB |
Output is correct |
58 |
Correct |
86 ms |
76120 KB |
Output is correct |
59 |
Correct |
94 ms |
96616 KB |
Output is correct |
60 |
Correct |
89 ms |
87844 KB |
Output is correct |
61 |
Correct |
89 ms |
84876 KB |
Output is correct |
62 |
Correct |
1 ms |
340 KB |
Output is correct |
63 |
Correct |
77 ms |
160132 KB |
Output is correct |
64 |
Correct |
94 ms |
150100 KB |
Output is correct |
65 |
Correct |
96 ms |
138552 KB |
Output is correct |
66 |
Correct |
89 ms |
86124 KB |
Output is correct |
67 |
Correct |
87 ms |
82884 KB |
Output is correct |
68 |
Correct |
92 ms |
88696 KB |
Output is correct |
69 |
Correct |
97 ms |
85472 KB |
Output is correct |
70 |
Correct |
93 ms |
92492 KB |
Output is correct |
71 |
Correct |
87 ms |
83976 KB |
Output is correct |
72 |
Correct |
1 ms |
332 KB |
Output is correct |
73 |
Correct |
1 ms |
340 KB |
Output is correct |