#include <bits/stdc++.h>
#define N 402
using namespace std;
int n, v[N], pos[3][N], sz[3], inf = 2000000000, ans = 2000000000;
int dp[N][N][N][3], dij[N][N], diz[N][N], dji[N][N], dzi[N][N], djz[N][N], dzj[N][N];
int solve()
{
for(int i = 0; i <= sz[0]; i++)
{
for(int j = 0; j <= sz[1]; j++)
{
for(int z = 0; z <= sz[2]; z++)
{
for(int lst = 0; lst <= 2; lst ++)
{
if(!i and !j and !z)
{
dp[i][j][z][lst] = 0;
continue;
}
int A = inf, B = inf, C = inf, di = 0, dj = 0, dz = 0;
if(i > 0 and lst != 0) A = dp[i - 1][j][z][0]+ abs(i + j + z - pos[0][i] + di + dij[i][j + 1] + diz[i][z + 1]);
if(j > 0 and lst != 1) B = dp[i][j - 1][z][1] + abs(i + j + z - pos[1][j] + dj + dji[i + 1][j] + djz[z + 1][j]);
if(z > 0 and lst != 2) C = dp[i][j][z - 1][2] + abs(i + j + z - pos[2][z] + dz + dzi[i + 1][z] + dzj[z][j + 1]);
dp[i][j][z][lst] = min({A, B, C});
if(i + j + z == n) ans = min(ans, dp[i][j][z][lst]);
}
}
}
}
return ans;
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
cin>>n;
for(int i = 1; i <= n; i++)
{
char c;
cin>>c;
if(c == 'R') v[i] = 0;
else if(c == 'Y') v[i] = 1;
else v[i] = 2;
++sz[v[i]];
pos[v[i]][sz[v[i]]] = i;
}
for(int i = sz[0]; i >= 1; i--)
{
for(int a = sz[1]; a >= 1; a--)
{
if(pos[1][a] < pos[0][i]) dij[i][a] = dij[i][a + 1] + 1;
else dij[i][a] = dij[i][a + 1];
if(pos[0][i] < pos[1][a]) dji[i][a] = dji[i + 1][a] + 1;
else dji[i][a] = dji[i + 1][a];
}
for(int a = sz[2]; a >= 1; a--)
{
if(pos[2][a] < pos[0][i]) diz[i][a] = diz[i][a + 1] + 1;
else diz[i][a] = diz[i][a + 1];
if(pos[0][i] < pos[2][a]) dzi[i][a] = dzi[i + 1][a] + 1;
else dzi[i][a] = dzi[i + 1][a];
}
}
for(int z = sz[2]; z >= 1; z--)
{
for(int j = sz[1]; j >= 1; j--)
{
if(pos[1][j] < pos[2][z]) dzj[z][j] = dzj[z][j + 1] + 1;
else dzj[z][j] = dzj[z][j + 1];
if(pos[2][z] < pos[1][j]) djz[z][j] = djz[z + 1][j] + 1;
else djz[z][j] = djz[z + 1][j];
}
}
int ans = solve();
cout<<(ans >= inf ? -1 : ans)<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
2 ms |
384 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
2 ms |
640 KB |
Output is correct |
7 |
Correct |
2 ms |
640 KB |
Output is correct |
8 |
Correct |
2 ms |
640 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
2 ms |
508 KB |
Output is correct |
11 |
Correct |
2 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
640 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
640 KB |
Output is correct |
15 |
Correct |
3 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
640 KB |
Output is correct |
17 |
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 |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
2 ms |
384 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
2 ms |
640 KB |
Output is correct |
7 |
Correct |
2 ms |
640 KB |
Output is correct |
8 |
Correct |
2 ms |
640 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
2 ms |
508 KB |
Output is correct |
11 |
Correct |
2 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
640 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
640 KB |
Output is correct |
15 |
Correct |
3 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
640 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
4 ms |
2688 KB |
Output is correct |
19 |
Correct |
5 ms |
2688 KB |
Output is correct |
20 |
Correct |
4 ms |
2816 KB |
Output is correct |
21 |
Correct |
4 ms |
2432 KB |
Output is correct |
22 |
Correct |
29 ms |
3328 KB |
Output is correct |
23 |
Correct |
3 ms |
2304 KB |
Output is correct |
24 |
Correct |
3 ms |
1664 KB |
Output is correct |
25 |
Correct |
3 ms |
1152 KB |
Output is correct |
26 |
Correct |
3 ms |
1024 KB |
Output is correct |
27 |
Correct |
4 ms |
2176 KB |
Output is correct |
28 |
Correct |
4 ms |
2544 KB |
Output is correct |
29 |
Correct |
4 ms |
2688 KB |
Output is correct |
30 |
Correct |
3 ms |
2176 KB |
Output is correct |
31 |
Correct |
5 ms |
2176 KB |
Output is correct |
32 |
Correct |
4 ms |
2176 KB |
Output is correct |
33 |
Correct |
3 ms |
1024 KB |
Output is correct |
34 |
Correct |
2 ms |
1152 KB |
Output is correct |
35 |
Correct |
3 ms |
2048 KB |
Output is correct |
36 |
Correct |
4 ms |
2816 KB |
Output is correct |
37 |
Correct |
3 ms |
1920 KB |
Output is correct |
38 |
Correct |
5 ms |
1920 KB |
Output is correct |
39 |
Correct |
4 ms |
2304 KB |
Output is correct |
40 |
Correct |
2 ms |
640 KB |
Output is correct |
41 |
Correct |
3 ms |
896 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
6 ms |
3044 KB |
Output is correct |
3 |
Correct |
5 ms |
2944 KB |
Output is correct |
4 |
Correct |
8 ms |
2944 KB |
Output is correct |
5 |
Correct |
5 ms |
2944 KB |
Output is correct |
6 |
Correct |
4 ms |
2944 KB |
Output is correct |
7 |
Correct |
5 ms |
2944 KB |
Output is correct |
8 |
Correct |
5 ms |
3072 KB |
Output is correct |
9 |
Correct |
7 ms |
2944 KB |
Output is correct |
10 |
Correct |
5 ms |
2944 KB |
Output is correct |
11 |
Correct |
6 ms |
2944 KB |
Output is correct |
12 |
Correct |
3 ms |
1664 KB |
Output is correct |
13 |
Correct |
5 ms |
2048 KB |
Output is correct |
14 |
Correct |
4 ms |
2432 KB |
Output is correct |
15 |
Correct |
5 ms |
3072 KB |
Output is correct |
16 |
Correct |
5 ms |
3072 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
2 ms |
384 KB |
Output is correct |
3 |
Correct |
2 ms |
384 KB |
Output is correct |
4 |
Correct |
2 ms |
512 KB |
Output is correct |
5 |
Correct |
2 ms |
640 KB |
Output is correct |
6 |
Correct |
2 ms |
640 KB |
Output is correct |
7 |
Correct |
2 ms |
640 KB |
Output is correct |
8 |
Correct |
2 ms |
640 KB |
Output is correct |
9 |
Correct |
3 ms |
512 KB |
Output is correct |
10 |
Correct |
2 ms |
508 KB |
Output is correct |
11 |
Correct |
2 ms |
512 KB |
Output is correct |
12 |
Correct |
2 ms |
640 KB |
Output is correct |
13 |
Correct |
2 ms |
512 KB |
Output is correct |
14 |
Correct |
2 ms |
640 KB |
Output is correct |
15 |
Correct |
3 ms |
640 KB |
Output is correct |
16 |
Correct |
2 ms |
640 KB |
Output is correct |
17 |
Correct |
2 ms |
384 KB |
Output is correct |
18 |
Correct |
4 ms |
2688 KB |
Output is correct |
19 |
Correct |
5 ms |
2688 KB |
Output is correct |
20 |
Correct |
4 ms |
2816 KB |
Output is correct |
21 |
Correct |
4 ms |
2432 KB |
Output is correct |
22 |
Correct |
29 ms |
3328 KB |
Output is correct |
23 |
Correct |
3 ms |
2304 KB |
Output is correct |
24 |
Correct |
3 ms |
1664 KB |
Output is correct |
25 |
Correct |
3 ms |
1152 KB |
Output is correct |
26 |
Correct |
3 ms |
1024 KB |
Output is correct |
27 |
Correct |
4 ms |
2176 KB |
Output is correct |
28 |
Correct |
4 ms |
2544 KB |
Output is correct |
29 |
Correct |
4 ms |
2688 KB |
Output is correct |
30 |
Correct |
3 ms |
2176 KB |
Output is correct |
31 |
Correct |
5 ms |
2176 KB |
Output is correct |
32 |
Correct |
4 ms |
2176 KB |
Output is correct |
33 |
Correct |
3 ms |
1024 KB |
Output is correct |
34 |
Correct |
2 ms |
1152 KB |
Output is correct |
35 |
Correct |
3 ms |
2048 KB |
Output is correct |
36 |
Correct |
4 ms |
2816 KB |
Output is correct |
37 |
Correct |
3 ms |
1920 KB |
Output is correct |
38 |
Correct |
5 ms |
1920 KB |
Output is correct |
39 |
Correct |
4 ms |
2304 KB |
Output is correct |
40 |
Correct |
2 ms |
640 KB |
Output is correct |
41 |
Correct |
3 ms |
896 KB |
Output is correct |
42 |
Correct |
2 ms |
384 KB |
Output is correct |
43 |
Correct |
6 ms |
3044 KB |
Output is correct |
44 |
Correct |
5 ms |
2944 KB |
Output is correct |
45 |
Correct |
8 ms |
2944 KB |
Output is correct |
46 |
Correct |
5 ms |
2944 KB |
Output is correct |
47 |
Correct |
4 ms |
2944 KB |
Output is correct |
48 |
Correct |
5 ms |
2944 KB |
Output is correct |
49 |
Correct |
5 ms |
3072 KB |
Output is correct |
50 |
Correct |
7 ms |
2944 KB |
Output is correct |
51 |
Correct |
5 ms |
2944 KB |
Output is correct |
52 |
Correct |
6 ms |
2944 KB |
Output is correct |
53 |
Correct |
3 ms |
1664 KB |
Output is correct |
54 |
Correct |
5 ms |
2048 KB |
Output is correct |
55 |
Correct |
4 ms |
2432 KB |
Output is correct |
56 |
Correct |
5 ms |
3072 KB |
Output is correct |
57 |
Correct |
5 ms |
3072 KB |
Output is correct |
58 |
Correct |
127 ms |
90288 KB |
Output is correct |
59 |
Correct |
143 ms |
83704 KB |
Output is correct |
60 |
Correct |
113 ms |
89820 KB |
Output is correct |
61 |
Correct |
111 ms |
88056 KB |
Output is correct |
62 |
Correct |
12 ms |
8448 KB |
Output is correct |
63 |
Correct |
17 ms |
11520 KB |
Output is correct |
64 |
Correct |
47 ms |
34040 KB |
Output is correct |
65 |
Correct |
79 ms |
46584 KB |
Output is correct |
66 |
Correct |
117 ms |
87544 KB |
Output is correct |
67 |
Correct |
143 ms |
75000 KB |
Output is correct |
68 |
Correct |
118 ms |
86264 KB |
Output is correct |
69 |
Correct |
117 ms |
90076 KB |
Output is correct |
70 |
Correct |
116 ms |
82400 KB |
Output is correct |
71 |
Correct |
115 ms |
99064 KB |
Output is correct |
72 |
Correct |
94 ms |
97400 KB |
Output is correct |
73 |
Correct |
12 ms |
7680 KB |
Output is correct |