#include <bits/stdc++.h>
using namespace std;
//#define FILE_IO
typedef pair<int, int> pii;
typedef pair<int, pii> p3i;
int N;
string s;
int getid(char ch)
{
if(ch == 'R') return 0;
if(ch == 'G') return 1;
if(ch == 'Y') return 2;
return -1;
}
char idtochar(int id)
{
if(id == 0) return 'R';
if(id == 1) return 'G';
if(id == 2) return 'Y';
return 0;
}
int dp[405][405][405][3]; /// dp[r][g][y]
int lst[405][405][405][3];
vector<p3i> pos[3];
int cost(p3i x, p3i y)
{
int ans = 0;
ans += abs(x.first - y.first);
ans += abs(x.second.first - y.second.first);
ans += abs(x.second.second - y.second.second);
return ans;
}
int main()
{
#ifdef FILE_IO
freopen("1.in", "r", stdin);
freopen("1.out", "w", stdout);
#endif
cin >> N;
cin >> s;
int f[3];
f[0] = f[1] = f[2] = 0;
for(int i = 0; i < N; i++)
{
f[getid(s[i])]++;
pos[getid(s[i])].push_back({ f[0], {f[1], f[2]} });
}
int R = pos[0].size(), G = pos[1].size(), Y = pos[2].size();
int mx = max({R, G, Y});
if(mx > (N + 1) / 2)
{
printf("-1\n");
exit(0);
}
for(int r = 0; r <= R; r++)
for(int g = 0; g <= G; g++)
for(int y = 0; y <= Y; y++)
{
int p = r + g + y;
if(p == 0) continue;
dp[r][g][y][0] = dp[r][g][y][1] = dp[r][g][y][2] = 1 << 30;
if(r > 0)
{
dp[r][g][y][0] = min(dp[r - 1][g][y][1], dp[r - 1][g][y][2]) + cost(pos[0][r - 1], {r, {g, y}});
lst[r][g][y][0] = (dp[r - 1][g][y][1] > dp[r - 1][g][y][2]) ? 2 : 1;
}
if(g > 0)
{
dp[r][g][y][1] = min(dp[r][g - 1][y][0], dp[r][g - 1][y][2]) + cost(pos[1][g - 1], {r, {g, y}});
lst[r][g][y][1] = (dp[r][g - 1][y][0] > dp[r][g - 1][y][2]) ? 2 : 0;
}
if(y > 0)
{
dp[r][g][y][2] = min(dp[r][g][y - 1][0], dp[r][g][y - 1][1]) + cost(pos[2][y - 1], {r, {g, y}});
lst[r][g][y][2] = (dp[r][g][y - 1][0] > dp[r][g][y - 1][1]) ? 1 : 0;
}
}
int ans = min({ dp[R][G][Y][0], dp[R][G][Y][1], dp[R][G][Y][2] });
ans /= 2;
cout << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
3 ms |
332 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
3 ms |
768 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
640 KB |
Output is correct |
9 |
Correct |
2 ms |
896 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
3 ms |
768 KB |
Output is correct |
12 |
Correct |
3 ms |
640 KB |
Output is correct |
13 |
Correct |
3 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
768 KB |
Output is correct |
15 |
Correct |
3 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
384 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
3 ms |
332 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
3 ms |
768 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
640 KB |
Output is correct |
9 |
Correct |
2 ms |
896 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
3 ms |
768 KB |
Output is correct |
12 |
Correct |
3 ms |
640 KB |
Output is correct |
13 |
Correct |
3 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
768 KB |
Output is correct |
15 |
Correct |
3 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
384 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
4352 KB |
Output is correct |
19 |
Correct |
6 ms |
3584 KB |
Output is correct |
20 |
Correct |
5 ms |
4224 KB |
Output is correct |
21 |
Correct |
6 ms |
4608 KB |
Output is correct |
22 |
Correct |
4 ms |
3072 KB |
Output is correct |
23 |
Correct |
6 ms |
3968 KB |
Output is correct |
24 |
Correct |
4 ms |
2944 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
2 ms |
384 KB |
Output is correct |
27 |
Correct |
7 ms |
5888 KB |
Output is correct |
28 |
Correct |
6 ms |
4352 KB |
Output is correct |
29 |
Correct |
5 ms |
4224 KB |
Output is correct |
30 |
Correct |
5 ms |
4224 KB |
Output is correct |
31 |
Correct |
5 ms |
3712 KB |
Output is correct |
32 |
Correct |
5 ms |
4480 KB |
Output is correct |
33 |
Correct |
2 ms |
384 KB |
Output is correct |
34 |
Correct |
2 ms |
384 KB |
Output is correct |
35 |
Correct |
6 ms |
5120 KB |
Output is correct |
36 |
Correct |
6 ms |
3584 KB |
Output is correct |
37 |
Correct |
5 ms |
3200 KB |
Output is correct |
38 |
Correct |
5 ms |
3968 KB |
Output is correct |
39 |
Correct |
7 ms |
4352 KB |
Output is correct |
40 |
Correct |
2 ms |
256 KB |
Output is correct |
41 |
Correct |
2 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
241 ms |
325496 KB |
Output is correct |
3 |
Correct |
271 ms |
323896 KB |
Output is correct |
4 |
Correct |
258 ms |
325480 KB |
Output is correct |
5 |
Correct |
247 ms |
325596 KB |
Output is correct |
6 |
Correct |
253 ms |
325624 KB |
Output is correct |
7 |
Correct |
261 ms |
323960 KB |
Output is correct |
8 |
Correct |
254 ms |
323996 KB |
Output is correct |
9 |
Correct |
230 ms |
322296 KB |
Output is correct |
10 |
Correct |
273 ms |
325624 KB |
Output is correct |
11 |
Correct |
254 ms |
325632 KB |
Output is correct |
12 |
Correct |
67 ms |
87800 KB |
Output is correct |
13 |
Correct |
126 ms |
153976 KB |
Output is correct |
14 |
Correct |
174 ms |
222428 KB |
Output is correct |
15 |
Correct |
2 ms |
384 KB |
Output is correct |
16 |
Correct |
3 ms |
384 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
3 ms |
332 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
3 ms |
768 KB |
Output is correct |
7 |
Correct |
2 ms |
512 KB |
Output is correct |
8 |
Correct |
3 ms |
640 KB |
Output is correct |
9 |
Correct |
2 ms |
896 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
3 ms |
768 KB |
Output is correct |
12 |
Correct |
3 ms |
640 KB |
Output is correct |
13 |
Correct |
3 ms |
256 KB |
Output is correct |
14 |
Correct |
2 ms |
768 KB |
Output is correct |
15 |
Correct |
3 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
384 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
5 ms |
4352 KB |
Output is correct |
19 |
Correct |
6 ms |
3584 KB |
Output is correct |
20 |
Correct |
5 ms |
4224 KB |
Output is correct |
21 |
Correct |
6 ms |
4608 KB |
Output is correct |
22 |
Correct |
4 ms |
3072 KB |
Output is correct |
23 |
Correct |
6 ms |
3968 KB |
Output is correct |
24 |
Correct |
4 ms |
2944 KB |
Output is correct |
25 |
Correct |
2 ms |
384 KB |
Output is correct |
26 |
Correct |
2 ms |
384 KB |
Output is correct |
27 |
Correct |
7 ms |
5888 KB |
Output is correct |
28 |
Correct |
6 ms |
4352 KB |
Output is correct |
29 |
Correct |
5 ms |
4224 KB |
Output is correct |
30 |
Correct |
5 ms |
4224 KB |
Output is correct |
31 |
Correct |
5 ms |
3712 KB |
Output is correct |
32 |
Correct |
5 ms |
4480 KB |
Output is correct |
33 |
Correct |
2 ms |
384 KB |
Output is correct |
34 |
Correct |
2 ms |
384 KB |
Output is correct |
35 |
Correct |
6 ms |
5120 KB |
Output is correct |
36 |
Correct |
6 ms |
3584 KB |
Output is correct |
37 |
Correct |
5 ms |
3200 KB |
Output is correct |
38 |
Correct |
5 ms |
3968 KB |
Output is correct |
39 |
Correct |
7 ms |
4352 KB |
Output is correct |
40 |
Correct |
2 ms |
256 KB |
Output is correct |
41 |
Correct |
2 ms |
384 KB |
Output is correct |
42 |
Correct |
2 ms |
384 KB |
Output is correct |
43 |
Correct |
241 ms |
325496 KB |
Output is correct |
44 |
Correct |
271 ms |
323896 KB |
Output is correct |
45 |
Correct |
258 ms |
325480 KB |
Output is correct |
46 |
Correct |
247 ms |
325596 KB |
Output is correct |
47 |
Correct |
253 ms |
325624 KB |
Output is correct |
48 |
Correct |
261 ms |
323960 KB |
Output is correct |
49 |
Correct |
254 ms |
323996 KB |
Output is correct |
50 |
Correct |
230 ms |
322296 KB |
Output is correct |
51 |
Correct |
273 ms |
325624 KB |
Output is correct |
52 |
Correct |
254 ms |
325632 KB |
Output is correct |
53 |
Correct |
67 ms |
87800 KB |
Output is correct |
54 |
Correct |
126 ms |
153976 KB |
Output is correct |
55 |
Correct |
174 ms |
222428 KB |
Output is correct |
56 |
Correct |
2 ms |
384 KB |
Output is correct |
57 |
Correct |
3 ms |
384 KB |
Output is correct |
58 |
Correct |
187 ms |
152192 KB |
Output is correct |
59 |
Correct |
210 ms |
192932 KB |
Output is correct |
60 |
Correct |
199 ms |
175448 KB |
Output is correct |
61 |
Correct |
180 ms |
169572 KB |
Output is correct |
62 |
Correct |
3 ms |
384 KB |
Output is correct |
63 |
Correct |
262 ms |
320132 KB |
Output is correct |
64 |
Correct |
261 ms |
300012 KB |
Output is correct |
65 |
Correct |
244 ms |
276844 KB |
Output is correct |
66 |
Correct |
174 ms |
171868 KB |
Output is correct |
67 |
Correct |
167 ms |
165520 KB |
Output is correct |
68 |
Correct |
158 ms |
177176 KB |
Output is correct |
69 |
Correct |
167 ms |
170744 KB |
Output is correct |
70 |
Correct |
208 ms |
185024 KB |
Output is correct |
71 |
Correct |
156 ms |
167672 KB |
Output is correct |
72 |
Correct |
2 ms |
384 KB |
Output is correct |
73 |
Correct |
3 ms |
384 KB |
Output is correct |