#include <bits/stdc++.h>
using namespace std;
template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl
using ll = long long;
const int maxn = 444;
const int inf = 1e9;
int n;
string s;
int a[maxn];
int dp[maxn][maxn][maxn][3];
vector<int> inds[maxn];
int prevs[3][maxn]; // prev[j][i]: # of j's in a[0...i-1]
void upd(int &x, int y) {
x=min(x,y);
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>>n;
cin>>s;
for (int i=0; i<n; i++) {
if (s[i]=='R') {
a[i]=0;
} else if (s[i]=='G') {
a[i]=1;
} else if (s[i]=='Y') {
a[i]=2;
} else assert(false);
}
for (int i=0; i<n; i++) {
inds[a[i]].push_back(i);
for (int j=0; j<3; j++) {
prevs[j][i] = inds[j].size();
}
}
for (int a=0; a<=(int)inds[0].size(); a++) {
for (int b=0; b<=(int)inds[1].size(); b++) {
for (int c=0; c<=(int)inds[2].size(); c++) {
for (int last=0; last<3; last++) {
dp[a][b][c][last] = inf;
}
}
}
}
for (int last=0; last<3; last++) {
dp[0][0][0][last] = 0;
}
for (int a=0; a<=(int)inds[0].size(); a++) {
for (int b=0; b<=(int)inds[1].size(); b++) {
for (int c=0; c<=(int)inds[2].size(); c++) {
for (int last=0; last<3; last++) {
// place R
// to place it, need to swap past all the G and Y's
if (a<(int)inds[0].size() && last!=0) {
int p = inds[0][a];
int cur = dp[a][b][c][last] + max(0, prevs[1][p]-b) + max(0, prevs[2][p]-c);
upd(dp[a+1][b][c][0], cur);
}
// place G
if (b<(int)inds[1].size() && last!=1) {
int p = inds[1][b];
int cur = dp[a][b][c][last] + max(0, prevs[0][p]-a) + max(0, prevs[2][p]-c);
upd(dp[a][b+1][c][1], cur);
}
// place Y
if (c<(int)inds[2].size() && last!=2) {
int p = inds[2][c];
int cur = dp[a][b][c][last] + max(0, prevs[0][p]-a) + max(0, prevs[1][p]-b);
upd(dp[a][b][c+1][2], cur);
}
}
}
}
}
int res = inf;
for (int i=0; i<3; i++) {
res = min(res, dp[(int)inds[0].size()][(int)inds[1].size()][(int)inds[2].size()][i]);
}
if (res > inf/2) res = -1;
out(res);
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
620 KB |
Output is correct |
10 |
Correct |
1 ms |
620 KB |
Output is correct |
11 |
Correct |
1 ms |
620 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
620 KB |
Output is correct |
10 |
Correct |
1 ms |
620 KB |
Output is correct |
11 |
Correct |
1 ms |
620 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
2 ms |
2412 KB |
Output is correct |
19 |
Correct |
2 ms |
1900 KB |
Output is correct |
20 |
Correct |
2 ms |
2284 KB |
Output is correct |
21 |
Correct |
2 ms |
2412 KB |
Output is correct |
22 |
Correct |
1 ms |
1772 KB |
Output is correct |
23 |
Correct |
2 ms |
2156 KB |
Output is correct |
24 |
Correct |
1 ms |
1644 KB |
Output is correct |
25 |
Correct |
3 ms |
3948 KB |
Output is correct |
26 |
Correct |
3 ms |
4352 KB |
Output is correct |
27 |
Correct |
2 ms |
3052 KB |
Output is correct |
28 |
Correct |
2 ms |
2412 KB |
Output is correct |
29 |
Correct |
2 ms |
2284 KB |
Output is correct |
30 |
Correct |
2 ms |
2284 KB |
Output is correct |
31 |
Correct |
2 ms |
2028 KB |
Output is correct |
32 |
Correct |
2 ms |
2412 KB |
Output is correct |
33 |
Correct |
3 ms |
3948 KB |
Output is correct |
34 |
Correct |
3 ms |
3564 KB |
Output is correct |
35 |
Correct |
2 ms |
2796 KB |
Output is correct |
36 |
Correct |
2 ms |
1900 KB |
Output is correct |
37 |
Correct |
1 ms |
1772 KB |
Output is correct |
38 |
Correct |
2 ms |
2156 KB |
Output is correct |
39 |
Correct |
2 ms |
2412 KB |
Output is correct |
40 |
Correct |
1 ms |
492 KB |
Output is correct |
41 |
Correct |
2 ms |
2284 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
88 ms |
162924 KB |
Output is correct |
3 |
Correct |
85 ms |
162028 KB |
Output is correct |
4 |
Correct |
82 ms |
162924 KB |
Output is correct |
5 |
Correct |
90 ms |
162924 KB |
Output is correct |
6 |
Correct |
88 ms |
162924 KB |
Output is correct |
7 |
Correct |
80 ms |
162028 KB |
Output is correct |
8 |
Correct |
93 ms |
162172 KB |
Output is correct |
9 |
Correct |
84 ms |
161260 KB |
Output is correct |
10 |
Correct |
87 ms |
162924 KB |
Output is correct |
11 |
Correct |
85 ms |
162924 KB |
Output is correct |
12 |
Correct |
23 ms |
44084 KB |
Output is correct |
13 |
Correct |
41 ms |
77164 KB |
Output is correct |
14 |
Correct |
60 ms |
111360 KB |
Output is correct |
15 |
Correct |
89 ms |
162796 KB |
Output is correct |
16 |
Correct |
89 ms |
162924 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
492 KB |
Output is correct |
6 |
Correct |
1 ms |
492 KB |
Output is correct |
7 |
Correct |
1 ms |
492 KB |
Output is correct |
8 |
Correct |
1 ms |
492 KB |
Output is correct |
9 |
Correct |
1 ms |
620 KB |
Output is correct |
10 |
Correct |
1 ms |
620 KB |
Output is correct |
11 |
Correct |
1 ms |
620 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
492 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
1 ms |
492 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
2 ms |
2412 KB |
Output is correct |
19 |
Correct |
2 ms |
1900 KB |
Output is correct |
20 |
Correct |
2 ms |
2284 KB |
Output is correct |
21 |
Correct |
2 ms |
2412 KB |
Output is correct |
22 |
Correct |
1 ms |
1772 KB |
Output is correct |
23 |
Correct |
2 ms |
2156 KB |
Output is correct |
24 |
Correct |
1 ms |
1644 KB |
Output is correct |
25 |
Correct |
3 ms |
3948 KB |
Output is correct |
26 |
Correct |
3 ms |
4352 KB |
Output is correct |
27 |
Correct |
2 ms |
3052 KB |
Output is correct |
28 |
Correct |
2 ms |
2412 KB |
Output is correct |
29 |
Correct |
2 ms |
2284 KB |
Output is correct |
30 |
Correct |
2 ms |
2284 KB |
Output is correct |
31 |
Correct |
2 ms |
2028 KB |
Output is correct |
32 |
Correct |
2 ms |
2412 KB |
Output is correct |
33 |
Correct |
3 ms |
3948 KB |
Output is correct |
34 |
Correct |
3 ms |
3564 KB |
Output is correct |
35 |
Correct |
2 ms |
2796 KB |
Output is correct |
36 |
Correct |
2 ms |
1900 KB |
Output is correct |
37 |
Correct |
1 ms |
1772 KB |
Output is correct |
38 |
Correct |
2 ms |
2156 KB |
Output is correct |
39 |
Correct |
2 ms |
2412 KB |
Output is correct |
40 |
Correct |
1 ms |
492 KB |
Output is correct |
41 |
Correct |
2 ms |
2284 KB |
Output is correct |
42 |
Correct |
1 ms |
364 KB |
Output is correct |
43 |
Correct |
88 ms |
162924 KB |
Output is correct |
44 |
Correct |
85 ms |
162028 KB |
Output is correct |
45 |
Correct |
82 ms |
162924 KB |
Output is correct |
46 |
Correct |
90 ms |
162924 KB |
Output is correct |
47 |
Correct |
88 ms |
162924 KB |
Output is correct |
48 |
Correct |
80 ms |
162028 KB |
Output is correct |
49 |
Correct |
93 ms |
162172 KB |
Output is correct |
50 |
Correct |
84 ms |
161260 KB |
Output is correct |
51 |
Correct |
87 ms |
162924 KB |
Output is correct |
52 |
Correct |
85 ms |
162924 KB |
Output is correct |
53 |
Correct |
23 ms |
44084 KB |
Output is correct |
54 |
Correct |
41 ms |
77164 KB |
Output is correct |
55 |
Correct |
60 ms |
111360 KB |
Output is correct |
56 |
Correct |
89 ms |
162796 KB |
Output is correct |
57 |
Correct |
89 ms |
162924 KB |
Output is correct |
58 |
Correct |
93 ms |
83692 KB |
Output is correct |
59 |
Correct |
112 ms |
106000 KB |
Output is correct |
60 |
Correct |
115 ms |
96364 KB |
Output is correct |
61 |
Correct |
98 ms |
93036 KB |
Output is correct |
62 |
Correct |
91 ms |
160492 KB |
Output is correct |
63 |
Correct |
93 ms |
160176 KB |
Output is correct |
64 |
Correct |
105 ms |
150380 KB |
Output is correct |
65 |
Correct |
114 ms |
138548 KB |
Output is correct |
66 |
Correct |
95 ms |
94444 KB |
Output is correct |
67 |
Correct |
93 ms |
90860 KB |
Output is correct |
68 |
Correct |
115 ms |
97304 KB |
Output is correct |
69 |
Correct |
95 ms |
93676 KB |
Output is correct |
70 |
Correct |
99 ms |
101484 KB |
Output is correct |
71 |
Correct |
94 ms |
92140 KB |
Output is correct |
72 |
Correct |
35 ms |
42476 KB |
Output is correct |
73 |
Correct |
7 ms |
3180 KB |
Output is correct |