//by szh
#include<bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pii pair<int,int>
#define pll pair<long long,long long>
#define pb push_back
#define debug(x) cerr<<#x<<"="<<x<<endl
#define pq priority_queue
#define inf 0x3f
#define rep(i,a,b) for (int i=a;i<(b);i++)
#define MP make_pair
#define SZ(x) (int(x.size()))
#define ll long long
#define ALL(x) x.begin(),x.end()
int lowbit(int x) {return x&(-x);}
const int maxn = 222;
int n;
ll A,B,C;
string s;
int a[maxn];
int len[maxn][maxn];
ll f[maxn][maxn][maxn],g[maxn][maxn];
ll ans[maxn*20];
pq <pair<pair<ll,int>,pii>,vector<pair<pair<ll,int>,pii>>,greater<pair<pair<ll,int>,pii>>> q;
int main() {
// freopen("input.txt","r",stdin);
std::ios::sync_with_stdio(false);cin.tie(0);
memset(f,inf,sizeof(f));
cin>>n>>s>>A>>B>>C;
if (n>maxn) {
ans[1] = A;
rep(i,2,n+1) {
ans[i] = i*A;
rep(j,1,i) ans[i] = min(ans[i],ans[j] + B + C*(i/j) + A*(i%j));
}
cout<<ans[n];
return 0;
}
rep(i,0,n) a[i] = (int)(s[i]-'a');
rep(i,0,n)
rep(j,i+1,n) {
int x = i,y = j;
while (y<n and a[x]==a[y]) x++,y++;
len[i][j] = y-j;
}
memset(f,inf,sizeof(f));
memset(g,inf,sizeof(g));
rep(i,0,n)
rep(j,i,n) {
g[i][j] = (j-i+1)*A + B;
q.push({{g[i][j],-1},{i,j}});
}
while (!q.empty()) {
if (q.top().fi.se==-1) { //g
int i = q.top().se.fi, j = q.top().se.se;
ll d = q.top().fi.fi;
q.pop();
if (g[i][j]!=d) continue;
// update f
if (f[i][j][j] > d + C) f[i][j][j] = d + C, q.push({{d+C,j},{i,j}});
if (i-1>=0 and g[i-1][j] > d + A) g[i-1][j] = d + A, q.push({{d+A,-1},{i-1,j}});
}
else { //f
int i = q.top().se.fi, j = q.top().se.se, k = q.top().fi.se;
ll d = q.top().fi.fi;
q.pop();
if (f[i][j][k]!=d) continue;
if (len[i][k+1] >= j-i+1 and f[i][j][k+j-i+1] > d + C) f[i][j][k+j-i+1] = d + C, q.push({{d+C,k+j-i+1},{i,j}});
if (k+1<n and f[i][j][k+1] > d + A) f[i][j][k+1] = d + A, q.push({{d+A,k+1},{i,j}});
if (g[i][k] > d + B) g[i][k] = d + B, q.push({{d+B,-1},{i,k}});
}
}
ll ans = min(n*A,g[0][n-1] - B);
rep(i,0,n) ans = min(ans,f[0][i][n-1]);
cout<<ans;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
86224 KB |
Output is correct |
2 |
Correct |
43 ms |
86224 KB |
Output is correct |
3 |
Correct |
42 ms |
86236 KB |
Output is correct |
4 |
Correct |
42 ms |
86348 KB |
Output is correct |
5 |
Correct |
44 ms |
86352 KB |
Output is correct |
6 |
Correct |
42 ms |
86348 KB |
Output is correct |
7 |
Correct |
41 ms |
86308 KB |
Output is correct |
8 |
Correct |
44 ms |
86216 KB |
Output is correct |
9 |
Correct |
43 ms |
86296 KB |
Output is correct |
10 |
Correct |
42 ms |
86336 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
42 ms |
86344 KB |
Output is correct |
2 |
Correct |
43 ms |
86328 KB |
Output is correct |
3 |
Correct |
44 ms |
86100 KB |
Output is correct |
4 |
Correct |
43 ms |
85912 KB |
Output is correct |
5 |
Correct |
44 ms |
85908 KB |
Output is correct |
6 |
Correct |
48 ms |
86020 KB |
Output is correct |
7 |
Correct |
49 ms |
85972 KB |
Output is correct |
8 |
Correct |
49 ms |
85940 KB |
Output is correct |
9 |
Correct |
51 ms |
85956 KB |
Output is correct |
10 |
Correct |
43 ms |
86360 KB |
Output is correct |
11 |
Correct |
42 ms |
86220 KB |
Output is correct |
12 |
Correct |
43 ms |
86220 KB |
Output is correct |
13 |
Correct |
43 ms |
86224 KB |
Output is correct |
14 |
Correct |
42 ms |
86344 KB |
Output is correct |
15 |
Correct |
43 ms |
86264 KB |
Output is correct |
16 |
Correct |
44 ms |
86340 KB |
Output is correct |
17 |
Correct |
42 ms |
86328 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
86224 KB |
Output is correct |
2 |
Correct |
43 ms |
86224 KB |
Output is correct |
3 |
Correct |
42 ms |
86236 KB |
Output is correct |
4 |
Correct |
42 ms |
86348 KB |
Output is correct |
5 |
Correct |
44 ms |
86352 KB |
Output is correct |
6 |
Correct |
42 ms |
86348 KB |
Output is correct |
7 |
Correct |
41 ms |
86308 KB |
Output is correct |
8 |
Correct |
44 ms |
86216 KB |
Output is correct |
9 |
Correct |
43 ms |
86296 KB |
Output is correct |
10 |
Correct |
42 ms |
86336 KB |
Output is correct |
11 |
Correct |
50 ms |
86284 KB |
Output is correct |
12 |
Correct |
44 ms |
86344 KB |
Output is correct |
13 |
Correct |
46 ms |
86328 KB |
Output is correct |
14 |
Correct |
43 ms |
86348 KB |
Output is correct |
15 |
Correct |
43 ms |
86356 KB |
Output is correct |
16 |
Correct |
44 ms |
86368 KB |
Output is correct |
17 |
Correct |
47 ms |
86336 KB |
Output is correct |
18 |
Correct |
43 ms |
86220 KB |
Output is correct |
19 |
Correct |
42 ms |
86296 KB |
Output is correct |
20 |
Correct |
43 ms |
86236 KB |
Output is correct |
21 |
Correct |
44 ms |
86448 KB |
Output is correct |
22 |
Correct |
44 ms |
86384 KB |
Output is correct |
23 |
Correct |
43 ms |
86340 KB |
Output is correct |
24 |
Correct |
46 ms |
86340 KB |
Output is correct |
25 |
Correct |
43 ms |
86300 KB |
Output is correct |
26 |
Correct |
43 ms |
86360 KB |
Output is correct |
27 |
Correct |
43 ms |
86324 KB |
Output is correct |
28 |
Correct |
43 ms |
86288 KB |
Output is correct |
29 |
Correct |
44 ms |
86428 KB |
Output is correct |
30 |
Correct |
48 ms |
86368 KB |
Output is correct |
31 |
Correct |
49 ms |
86288 KB |
Output is correct |
32 |
Correct |
48 ms |
86316 KB |
Output is correct |
33 |
Correct |
42 ms |
86360 KB |
Output is correct |
34 |
Correct |
44 ms |
86248 KB |
Output is correct |
35 |
Correct |
43 ms |
86220 KB |
Output is correct |
36 |
Correct |
42 ms |
86344 KB |
Output is correct |
37 |
Correct |
45 ms |
86352 KB |
Output is correct |
38 |
Correct |
43 ms |
86348 KB |
Output is correct |
39 |
Correct |
43 ms |
86304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
86224 KB |
Output is correct |
2 |
Correct |
43 ms |
86224 KB |
Output is correct |
3 |
Correct |
42 ms |
86236 KB |
Output is correct |
4 |
Correct |
42 ms |
86348 KB |
Output is correct |
5 |
Correct |
44 ms |
86352 KB |
Output is correct |
6 |
Correct |
42 ms |
86348 KB |
Output is correct |
7 |
Correct |
41 ms |
86308 KB |
Output is correct |
8 |
Correct |
44 ms |
86216 KB |
Output is correct |
9 |
Correct |
43 ms |
86296 KB |
Output is correct |
10 |
Correct |
42 ms |
86336 KB |
Output is correct |
11 |
Correct |
50 ms |
86284 KB |
Output is correct |
12 |
Correct |
44 ms |
86344 KB |
Output is correct |
13 |
Correct |
46 ms |
86328 KB |
Output is correct |
14 |
Correct |
43 ms |
86348 KB |
Output is correct |
15 |
Correct |
43 ms |
86356 KB |
Output is correct |
16 |
Correct |
44 ms |
86368 KB |
Output is correct |
17 |
Correct |
47 ms |
86336 KB |
Output is correct |
18 |
Correct |
43 ms |
86220 KB |
Output is correct |
19 |
Correct |
42 ms |
86296 KB |
Output is correct |
20 |
Correct |
43 ms |
86236 KB |
Output is correct |
21 |
Correct |
44 ms |
86448 KB |
Output is correct |
22 |
Correct |
44 ms |
86384 KB |
Output is correct |
23 |
Correct |
43 ms |
86340 KB |
Output is correct |
24 |
Correct |
46 ms |
86340 KB |
Output is correct |
25 |
Correct |
43 ms |
86300 KB |
Output is correct |
26 |
Correct |
43 ms |
86360 KB |
Output is correct |
27 |
Correct |
43 ms |
86324 KB |
Output is correct |
28 |
Correct |
43 ms |
86288 KB |
Output is correct |
29 |
Correct |
44 ms |
86428 KB |
Output is correct |
30 |
Correct |
48 ms |
86368 KB |
Output is correct |
31 |
Correct |
49 ms |
86288 KB |
Output is correct |
32 |
Correct |
48 ms |
86316 KB |
Output is correct |
33 |
Correct |
42 ms |
86360 KB |
Output is correct |
34 |
Correct |
44 ms |
86248 KB |
Output is correct |
35 |
Correct |
43 ms |
86220 KB |
Output is correct |
36 |
Correct |
42 ms |
86344 KB |
Output is correct |
37 |
Correct |
45 ms |
86352 KB |
Output is correct |
38 |
Correct |
43 ms |
86348 KB |
Output is correct |
39 |
Correct |
43 ms |
86304 KB |
Output is correct |
40 |
Correct |
63 ms |
86508 KB |
Output is correct |
41 |
Correct |
405 ms |
89620 KB |
Output is correct |
42 |
Correct |
328 ms |
87368 KB |
Output is correct |
43 |
Correct |
312 ms |
87316 KB |
Output is correct |
44 |
Correct |
342 ms |
87444 KB |
Output is correct |
45 |
Correct |
291 ms |
87376 KB |
Output is correct |
46 |
Correct |
289 ms |
87368 KB |
Output is correct |
47 |
Correct |
325 ms |
88124 KB |
Output is correct |
48 |
Correct |
292 ms |
87348 KB |
Output is correct |
49 |
Correct |
288 ms |
87396 KB |
Output is correct |
50 |
Correct |
301 ms |
87412 KB |
Output is correct |
51 |
Correct |
325 ms |
88172 KB |
Output is correct |
52 |
Correct |
334 ms |
88128 KB |
Output is correct |
53 |
Correct |
269 ms |
87320 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
86224 KB |
Output is correct |
2 |
Correct |
43 ms |
86224 KB |
Output is correct |
3 |
Correct |
42 ms |
86236 KB |
Output is correct |
4 |
Correct |
42 ms |
86348 KB |
Output is correct |
5 |
Correct |
44 ms |
86352 KB |
Output is correct |
6 |
Correct |
42 ms |
86348 KB |
Output is correct |
7 |
Correct |
41 ms |
86308 KB |
Output is correct |
8 |
Correct |
44 ms |
86216 KB |
Output is correct |
9 |
Correct |
43 ms |
86296 KB |
Output is correct |
10 |
Correct |
42 ms |
86336 KB |
Output is correct |
11 |
Correct |
50 ms |
86284 KB |
Output is correct |
12 |
Correct |
44 ms |
86344 KB |
Output is correct |
13 |
Correct |
46 ms |
86328 KB |
Output is correct |
14 |
Correct |
43 ms |
86348 KB |
Output is correct |
15 |
Correct |
43 ms |
86356 KB |
Output is correct |
16 |
Correct |
44 ms |
86368 KB |
Output is correct |
17 |
Correct |
47 ms |
86336 KB |
Output is correct |
18 |
Correct |
43 ms |
86220 KB |
Output is correct |
19 |
Correct |
42 ms |
86296 KB |
Output is correct |
20 |
Correct |
43 ms |
86236 KB |
Output is correct |
21 |
Correct |
44 ms |
86448 KB |
Output is correct |
22 |
Correct |
44 ms |
86384 KB |
Output is correct |
23 |
Correct |
43 ms |
86340 KB |
Output is correct |
24 |
Correct |
46 ms |
86340 KB |
Output is correct |
25 |
Correct |
43 ms |
86300 KB |
Output is correct |
26 |
Correct |
43 ms |
86360 KB |
Output is correct |
27 |
Correct |
43 ms |
86324 KB |
Output is correct |
28 |
Correct |
43 ms |
86288 KB |
Output is correct |
29 |
Correct |
44 ms |
86428 KB |
Output is correct |
30 |
Correct |
48 ms |
86368 KB |
Output is correct |
31 |
Correct |
49 ms |
86288 KB |
Output is correct |
32 |
Correct |
48 ms |
86316 KB |
Output is correct |
33 |
Correct |
42 ms |
86360 KB |
Output is correct |
34 |
Correct |
44 ms |
86248 KB |
Output is correct |
35 |
Correct |
43 ms |
86220 KB |
Output is correct |
36 |
Correct |
42 ms |
86344 KB |
Output is correct |
37 |
Correct |
45 ms |
86352 KB |
Output is correct |
38 |
Correct |
43 ms |
86348 KB |
Output is correct |
39 |
Correct |
43 ms |
86304 KB |
Output is correct |
40 |
Correct |
63 ms |
86508 KB |
Output is correct |
41 |
Correct |
405 ms |
89620 KB |
Output is correct |
42 |
Correct |
328 ms |
87368 KB |
Output is correct |
43 |
Correct |
312 ms |
87316 KB |
Output is correct |
44 |
Correct |
342 ms |
87444 KB |
Output is correct |
45 |
Correct |
291 ms |
87376 KB |
Output is correct |
46 |
Correct |
289 ms |
87368 KB |
Output is correct |
47 |
Correct |
325 ms |
88124 KB |
Output is correct |
48 |
Correct |
292 ms |
87348 KB |
Output is correct |
49 |
Correct |
288 ms |
87396 KB |
Output is correct |
50 |
Correct |
301 ms |
87412 KB |
Output is correct |
51 |
Correct |
325 ms |
88172 KB |
Output is correct |
52 |
Correct |
334 ms |
88128 KB |
Output is correct |
53 |
Correct |
269 ms |
87320 KB |
Output is correct |
54 |
Incorrect |
36 ms |
85972 KB |
Output isn't correct |
55 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
86224 KB |
Output is correct |
2 |
Correct |
43 ms |
86224 KB |
Output is correct |
3 |
Correct |
42 ms |
86236 KB |
Output is correct |
4 |
Correct |
42 ms |
86348 KB |
Output is correct |
5 |
Correct |
44 ms |
86352 KB |
Output is correct |
6 |
Correct |
42 ms |
86348 KB |
Output is correct |
7 |
Correct |
41 ms |
86308 KB |
Output is correct |
8 |
Correct |
44 ms |
86216 KB |
Output is correct |
9 |
Correct |
43 ms |
86296 KB |
Output is correct |
10 |
Correct |
42 ms |
86336 KB |
Output is correct |
11 |
Correct |
42 ms |
86344 KB |
Output is correct |
12 |
Correct |
43 ms |
86328 KB |
Output is correct |
13 |
Correct |
44 ms |
86100 KB |
Output is correct |
14 |
Correct |
43 ms |
85912 KB |
Output is correct |
15 |
Correct |
44 ms |
85908 KB |
Output is correct |
16 |
Correct |
48 ms |
86020 KB |
Output is correct |
17 |
Correct |
49 ms |
85972 KB |
Output is correct |
18 |
Correct |
49 ms |
85940 KB |
Output is correct |
19 |
Correct |
51 ms |
85956 KB |
Output is correct |
20 |
Correct |
43 ms |
86360 KB |
Output is correct |
21 |
Correct |
42 ms |
86220 KB |
Output is correct |
22 |
Correct |
43 ms |
86220 KB |
Output is correct |
23 |
Correct |
43 ms |
86224 KB |
Output is correct |
24 |
Correct |
42 ms |
86344 KB |
Output is correct |
25 |
Correct |
43 ms |
86264 KB |
Output is correct |
26 |
Correct |
44 ms |
86340 KB |
Output is correct |
27 |
Correct |
42 ms |
86328 KB |
Output is correct |
28 |
Correct |
50 ms |
86284 KB |
Output is correct |
29 |
Correct |
44 ms |
86344 KB |
Output is correct |
30 |
Correct |
46 ms |
86328 KB |
Output is correct |
31 |
Correct |
43 ms |
86348 KB |
Output is correct |
32 |
Correct |
43 ms |
86356 KB |
Output is correct |
33 |
Correct |
44 ms |
86368 KB |
Output is correct |
34 |
Correct |
47 ms |
86336 KB |
Output is correct |
35 |
Correct |
43 ms |
86220 KB |
Output is correct |
36 |
Correct |
42 ms |
86296 KB |
Output is correct |
37 |
Correct |
43 ms |
86236 KB |
Output is correct |
38 |
Correct |
44 ms |
86448 KB |
Output is correct |
39 |
Correct |
44 ms |
86384 KB |
Output is correct |
40 |
Correct |
43 ms |
86340 KB |
Output is correct |
41 |
Correct |
46 ms |
86340 KB |
Output is correct |
42 |
Correct |
43 ms |
86300 KB |
Output is correct |
43 |
Correct |
43 ms |
86360 KB |
Output is correct |
44 |
Correct |
43 ms |
86324 KB |
Output is correct |
45 |
Correct |
43 ms |
86288 KB |
Output is correct |
46 |
Correct |
44 ms |
86428 KB |
Output is correct |
47 |
Correct |
48 ms |
86368 KB |
Output is correct |
48 |
Correct |
49 ms |
86288 KB |
Output is correct |
49 |
Correct |
48 ms |
86316 KB |
Output is correct |
50 |
Correct |
42 ms |
86360 KB |
Output is correct |
51 |
Correct |
44 ms |
86248 KB |
Output is correct |
52 |
Correct |
43 ms |
86220 KB |
Output is correct |
53 |
Correct |
42 ms |
86344 KB |
Output is correct |
54 |
Correct |
45 ms |
86352 KB |
Output is correct |
55 |
Correct |
43 ms |
86348 KB |
Output is correct |
56 |
Correct |
43 ms |
86304 KB |
Output is correct |
57 |
Correct |
63 ms |
86508 KB |
Output is correct |
58 |
Correct |
405 ms |
89620 KB |
Output is correct |
59 |
Correct |
328 ms |
87368 KB |
Output is correct |
60 |
Correct |
312 ms |
87316 KB |
Output is correct |
61 |
Correct |
342 ms |
87444 KB |
Output is correct |
62 |
Correct |
291 ms |
87376 KB |
Output is correct |
63 |
Correct |
289 ms |
87368 KB |
Output is correct |
64 |
Correct |
325 ms |
88124 KB |
Output is correct |
65 |
Correct |
292 ms |
87348 KB |
Output is correct |
66 |
Correct |
288 ms |
87396 KB |
Output is correct |
67 |
Correct |
301 ms |
87412 KB |
Output is correct |
68 |
Correct |
325 ms |
88172 KB |
Output is correct |
69 |
Correct |
334 ms |
88128 KB |
Output is correct |
70 |
Correct |
269 ms |
87320 KB |
Output is correct |
71 |
Incorrect |
36 ms |
85972 KB |
Output isn't correct |
72 |
Halted |
0 ms |
0 KB |
- |