#include<iostream>
#include<vector>
#include<algorithm>
#include<set>
#include<map>
using namespace std;
#define ll long long
#define endl "\n"
#define mp make_pair
#define out(x) cout<< #x << " = " << x << endl
#define pii pair<int,int>
#pragma GCC optimize("Ofast")
// 考慮前i個,放了r個R g個G i-r-g個Y,第i個恰是R/G/Y,所需最小步數
string s;
int n;
vector<int> rpos, gpos, ypos;
int rcnt, gcnt, ycnt;
int dp[405][405][405][3];
int rpre[405],gpre[405],ypre[405];
void chmin(int &a, int b){
a = min(a,b);
}
signed main(){
ios::sync_with_stdio(false); cin.tie(0);
cin>>n>>s;
s = '$' + s;
rpos.push_back(0), gpos.push_back(0), ypos.push_back(0);
for (int i=1;i<=n;i++){
if (s[i] == 'R') rpos.push_back(i), rcnt++;
if (s[i] == 'G') gpos.push_back(i), gcnt++;
if (s[i] == 'Y') ypos.push_back(i), ycnt++;
rpre[i] = rpre[i-1] + (s[i] == 'R');
gpre[i] = gpre[i-1] + (s[i] == 'G');
ypre[i] = ypre[i-1] + (s[i] == 'Y');
}
for (int i=1;i<=n;i++) for (int r=0;r<=rcnt;r++) for (int g=0;g<=gcnt;g++) for (int c=0;c<=2;c++) dp[i][r][g][c] = 1e9;
dp[1][1][0][0] = rcnt ? rpos[1] - 1 : 1e9;
dp[1][0][1][1] = gcnt ? gpos[1] - 1 : 1e9;
dp[1][0][0][2] = ycnt ? ypos[1] - 1 : 1e9;
for (int i=1;i<n;i++) for (int r=0;r<=rcnt;r++) for (int g=0;g<=gcnt;g++) for (int c=0;c<=2;c++){
int y = i-r-g; if (y<0) continue;
if (dp[i][r][g][c] == 1e9) continue;
if (r>i || g>i || y>i) continue;
if (r+g > i) continue;
//cout<<i<<" "<<r<<" "<<g<<" "<<y<<" "<<c<<" "<<dp[i][r][g][c]<<endl;
// put R in i+1
if (c!=0 && r<rcnt){
int cost = abs(gpre[rpos[r+1]] - g) + abs(ypre[rpos[r+1]] - y);
chmin(dp[i+1][r+1][g][0], dp[i][r][g][c] + cost);
}
if (c!=1 && g<gcnt){
int cost = abs(rpre[gpos[g+1]] - r) + abs(ypre[gpos[g+1]] - y);
chmin(dp[i+1][r][g+1][1], dp[i][r][g][c] + cost);
}
if (c!=2 && y<ycnt){
int cost = abs(rpre[ypos[y+1]] - r) + abs(gpre[ypos[y+1]] - g);
chmin(dp[i+1][r][g][2], dp[i][r][g][c] + cost);
}
}
int res = min(dp[n][rcnt][gcnt][0], min(dp[n][rcnt][gcnt][1], dp[n][rcnt][gcnt][2]));
if (res >= 5e8) cout<<-1<<endl;
else cout<<res/2<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
716 KB |
Output is correct |
15 |
Correct |
1 ms |
584 KB |
Output is correct |
16 |
Correct |
1 ms |
1096 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
716 KB |
Output is correct |
15 |
Correct |
1 ms |
584 KB |
Output is correct |
16 |
Correct |
1 ms |
1096 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
6612 KB |
Output is correct |
19 |
Correct |
3 ms |
5588 KB |
Output is correct |
20 |
Correct |
3 ms |
6996 KB |
Output is correct |
21 |
Correct |
3 ms |
5832 KB |
Output is correct |
22 |
Correct |
3 ms |
6720 KB |
Output is correct |
23 |
Correct |
3 ms |
5076 KB |
Output is correct |
24 |
Correct |
2 ms |
3284 KB |
Output is correct |
25 |
Correct |
5 ms |
10196 KB |
Output is correct |
26 |
Correct |
4 ms |
8776 KB |
Output is correct |
27 |
Correct |
3 ms |
7636 KB |
Output is correct |
28 |
Correct |
3 ms |
6100 KB |
Output is correct |
29 |
Correct |
3 ms |
6356 KB |
Output is correct |
30 |
Correct |
2 ms |
5192 KB |
Output is correct |
31 |
Correct |
3 ms |
4564 KB |
Output is correct |
32 |
Correct |
3 ms |
5332 KB |
Output is correct |
33 |
Correct |
3 ms |
7252 KB |
Output is correct |
34 |
Correct |
3 ms |
6476 KB |
Output is correct |
35 |
Correct |
3 ms |
6468 KB |
Output is correct |
36 |
Correct |
3 ms |
5716 KB |
Output is correct |
37 |
Correct |
2 ms |
3912 KB |
Output is correct |
38 |
Correct |
2 ms |
4436 KB |
Output is correct |
39 |
Correct |
3 ms |
5780 KB |
Output is correct |
40 |
Correct |
1 ms |
724 KB |
Output is correct |
41 |
Correct |
2 ms |
3156 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
197 ms |
384040 KB |
Output is correct |
3 |
Correct |
187 ms |
383044 KB |
Output is correct |
4 |
Correct |
194 ms |
384044 KB |
Output is correct |
5 |
Correct |
184 ms |
384092 KB |
Output is correct |
6 |
Correct |
188 ms |
384044 KB |
Output is correct |
7 |
Correct |
181 ms |
381088 KB |
Output is correct |
8 |
Correct |
182 ms |
381188 KB |
Output is correct |
9 |
Correct |
183 ms |
380376 KB |
Output is correct |
10 |
Correct |
180 ms |
384036 KB |
Output is correct |
11 |
Correct |
183 ms |
383944 KB |
Output is correct |
12 |
Correct |
51 ms |
102760 KB |
Output is correct |
13 |
Correct |
91 ms |
180932 KB |
Output is correct |
14 |
Correct |
126 ms |
261836 KB |
Output is correct |
15 |
Correct |
177 ms |
382148 KB |
Output is correct |
16 |
Correct |
186 ms |
382036 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
724 KB |
Output is correct |
6 |
Correct |
1 ms |
724 KB |
Output is correct |
7 |
Correct |
1 ms |
852 KB |
Output is correct |
8 |
Correct |
1 ms |
724 KB |
Output is correct |
9 |
Correct |
1 ms |
724 KB |
Output is correct |
10 |
Correct |
1 ms |
980 KB |
Output is correct |
11 |
Correct |
1 ms |
724 KB |
Output is correct |
12 |
Correct |
1 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
596 KB |
Output is correct |
14 |
Correct |
1 ms |
716 KB |
Output is correct |
15 |
Correct |
1 ms |
584 KB |
Output is correct |
16 |
Correct |
1 ms |
1096 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
3 ms |
6612 KB |
Output is correct |
19 |
Correct |
3 ms |
5588 KB |
Output is correct |
20 |
Correct |
3 ms |
6996 KB |
Output is correct |
21 |
Correct |
3 ms |
5832 KB |
Output is correct |
22 |
Correct |
3 ms |
6720 KB |
Output is correct |
23 |
Correct |
3 ms |
5076 KB |
Output is correct |
24 |
Correct |
2 ms |
3284 KB |
Output is correct |
25 |
Correct |
5 ms |
10196 KB |
Output is correct |
26 |
Correct |
4 ms |
8776 KB |
Output is correct |
27 |
Correct |
3 ms |
7636 KB |
Output is correct |
28 |
Correct |
3 ms |
6100 KB |
Output is correct |
29 |
Correct |
3 ms |
6356 KB |
Output is correct |
30 |
Correct |
2 ms |
5192 KB |
Output is correct |
31 |
Correct |
3 ms |
4564 KB |
Output is correct |
32 |
Correct |
3 ms |
5332 KB |
Output is correct |
33 |
Correct |
3 ms |
7252 KB |
Output is correct |
34 |
Correct |
3 ms |
6476 KB |
Output is correct |
35 |
Correct |
3 ms |
6468 KB |
Output is correct |
36 |
Correct |
3 ms |
5716 KB |
Output is correct |
37 |
Correct |
2 ms |
3912 KB |
Output is correct |
38 |
Correct |
2 ms |
4436 KB |
Output is correct |
39 |
Correct |
3 ms |
5780 KB |
Output is correct |
40 |
Correct |
1 ms |
724 KB |
Output is correct |
41 |
Correct |
2 ms |
3156 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
197 ms |
384040 KB |
Output is correct |
44 |
Correct |
187 ms |
383044 KB |
Output is correct |
45 |
Correct |
194 ms |
384044 KB |
Output is correct |
46 |
Correct |
184 ms |
384092 KB |
Output is correct |
47 |
Correct |
188 ms |
384044 KB |
Output is correct |
48 |
Correct |
181 ms |
381088 KB |
Output is correct |
49 |
Correct |
182 ms |
381188 KB |
Output is correct |
50 |
Correct |
183 ms |
380376 KB |
Output is correct |
51 |
Correct |
180 ms |
384036 KB |
Output is correct |
52 |
Correct |
183 ms |
383944 KB |
Output is correct |
53 |
Correct |
51 ms |
102760 KB |
Output is correct |
54 |
Correct |
91 ms |
180932 KB |
Output is correct |
55 |
Correct |
126 ms |
261836 KB |
Output is correct |
56 |
Correct |
177 ms |
382148 KB |
Output is correct |
57 |
Correct |
186 ms |
382036 KB |
Output is correct |
58 |
Correct |
137 ms |
237548 KB |
Output is correct |
59 |
Correct |
155 ms |
277444 KB |
Output is correct |
60 |
Correct |
150 ms |
272332 KB |
Output is correct |
61 |
Correct |
143 ms |
255804 KB |
Output is correct |
62 |
Correct |
193 ms |
410468 KB |
Output is correct |
63 |
Correct |
178 ms |
374536 KB |
Output is correct |
64 |
Correct |
172 ms |
359276 KB |
Output is correct |
65 |
Correct |
156 ms |
305324 KB |
Output is correct |
66 |
Correct |
141 ms |
260248 KB |
Output is correct |
67 |
Correct |
126 ms |
216764 KB |
Output is correct |
68 |
Correct |
148 ms |
261452 KB |
Output is correct |
69 |
Correct |
141 ms |
262264 KB |
Output is correct |
70 |
Correct |
148 ms |
260296 KB |
Output is correct |
71 |
Correct |
151 ms |
289780 KB |
Output is correct |
72 |
Correct |
231 ms |
522776 KB |
Output is correct |
73 |
Correct |
6 ms |
11476 KB |
Output is correct |