#include "bits/extc++.h"
using namespace std;
template <typename T>
void dbgh(const T& t) {
cerr << t << endl;
}
template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
cerr << t << " | ";
dbgh(u...);
}
#ifdef DEBUG
#define dbg(...) \
cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]" \
<< ": "; \
dbgh(__VA_ARGS__)
#else
#define cerr \
if (false) \
cerr
#define dbg(...)
#endif
#define endl "\n"
#define long int64_t
#define sz(x) int((x).size())
const long mod = 1e9 + 7;
long bpow(long base, long exp) {
long ans = 1;
while (exp) {
if (exp & 1) {
ans = (ans * base) % mod;
}
base = (base * base) % mod;
exp >>= 1;
}
return ans;
}
long inv(long x) {
return bpow(x, mod - 2);
}
struct Hasher {
int n;
vector<long> psum, ipow;
Hasher(const string& s, long base) : n(sz(s)), psum(n + 1), ipow(n + 1) {
ipow[0] = 1;
long ibase = inv(base), exp = 1;
for (int i = 0; i < n; i++) {
psum[i + 1] = (psum[i] + (s[i] - 'a' + 1) * exp) % mod;
exp = (exp * base) % mod;
ipow[i + 1] = (ipow[i] * ibase) % mod;
}
}
long hash(int l, int r) const {
return (psum[r] - psum[l] + mod) * ipow[l] % mod;
}
};
struct H {
Hasher h1, h2;
H(const string& s) : h1(s, 31), h2(s, 29) {}
long hash(int l, int r) const {
return h1.hash(l, r) * mod + h2.hash(l, r);
}
};
void solve1(int n, long wa, long wb, long wc) {
long dp[n + 1];
dp[0] = 0;
for (int i = 1; i <= n; i++) {
dp[i] = wa * i;
for (int j = 1; j < i; j++) {
int cnt = i / j;
dp[i] = min(dp[i], wa * i + dp[j] + wb + cnt * (wc - wa * j));
}
}
cout << dp[n] << endl;
}
void solve() {
int n;
cin >> n;
string s;
cin >> s;
long wa, wb, wc;
cin >> wa >> wb >> wc;
{
for (auto& a : s) {
if (a != 'a') {
goto loop;
}
}
solve1(n, wa, wb, wc);
return;
loop:;
}
H h(s);
pair<int, int> mp[n][n];
for (int i = 1; i <= n; i++) {
map<long, pair<int, int>> m;
for (int j = n - i; j >= 0; j--) {
mp[j][j + i - 1] =
m.emplace(h.hash(j, j + i), pair<int, int> {j, j + i - 1}).first->second;
}
}
long dp[n][n], mn[n];
memset(mn, 0x3f, sizeof(mn));
vector<pair<int, int>> occ[n][n];
for (int l = n - 1; l >= 0; l--) {
long copt = 0;
for (int r = l; r < n; r++) {
copt = min(copt + wa, wa * (r - l + 1) + mn[r]);
dp[l][r] = copt;
{
auto [il, ir] = mp[l][r];
int len = r - l + 1;
int nbs =
int(occ[il][ir].rend() - lower_bound(occ[il][ir].rbegin(), occ[il][ir].rend(),
pair<int, int> {l + len, -100})) -
1;
int ci = sz(occ[il][ir]), x = 0;
occ[il][ir].emplace_back(l, nbs);
while (ci != -1) {
auto [pos, nxt] = occ[il][ir][ci];
int np = pos + len - 1;
x++;
mn[np] = min(mn[np], dp[il][ir] + wb + x * (wc - wa * len));
ci = nxt;
}
}
}
}
cout << dp[0][n - 1] << endl;
}
int main() {
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
cin.exceptions(ios::failbit);
solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
9 ms |
328 KB |
Output is correct |
4 |
Correct |
11 ms |
332 KB |
Output is correct |
5 |
Correct |
12 ms |
340 KB |
Output is correct |
6 |
Correct |
14 ms |
212 KB |
Output is correct |
7 |
Correct |
16 ms |
340 KB |
Output is correct |
8 |
Correct |
16 ms |
340 KB |
Output is correct |
9 |
Correct |
16 ms |
336 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
596 KB |
Output is correct |
41 |
Correct |
4 ms |
2004 KB |
Output is correct |
42 |
Correct |
6 ms |
2388 KB |
Output is correct |
43 |
Correct |
5 ms |
2388 KB |
Output is correct |
44 |
Correct |
5 ms |
2388 KB |
Output is correct |
45 |
Correct |
5 ms |
2388 KB |
Output is correct |
46 |
Correct |
5 ms |
2388 KB |
Output is correct |
47 |
Correct |
4 ms |
2132 KB |
Output is correct |
48 |
Correct |
6 ms |
2260 KB |
Output is correct |
49 |
Correct |
4 ms |
2304 KB |
Output is correct |
50 |
Correct |
4 ms |
2260 KB |
Output is correct |
51 |
Correct |
4 ms |
2260 KB |
Output is correct |
52 |
Correct |
4 ms |
2260 KB |
Output is correct |
53 |
Correct |
5 ms |
2388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
0 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
0 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
0 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
1 ms |
212 KB |
Output is correct |
37 |
Correct |
1 ms |
212 KB |
Output is correct |
38 |
Correct |
0 ms |
212 KB |
Output is correct |
39 |
Correct |
0 ms |
212 KB |
Output is correct |
40 |
Correct |
1 ms |
596 KB |
Output is correct |
41 |
Correct |
4 ms |
2004 KB |
Output is correct |
42 |
Correct |
6 ms |
2388 KB |
Output is correct |
43 |
Correct |
5 ms |
2388 KB |
Output is correct |
44 |
Correct |
5 ms |
2388 KB |
Output is correct |
45 |
Correct |
5 ms |
2388 KB |
Output is correct |
46 |
Correct |
5 ms |
2388 KB |
Output is correct |
47 |
Correct |
4 ms |
2132 KB |
Output is correct |
48 |
Correct |
6 ms |
2260 KB |
Output is correct |
49 |
Correct |
4 ms |
2304 KB |
Output is correct |
50 |
Correct |
4 ms |
2260 KB |
Output is correct |
51 |
Correct |
4 ms |
2260 KB |
Output is correct |
52 |
Correct |
4 ms |
2260 KB |
Output is correct |
53 |
Correct |
5 ms |
2388 KB |
Output is correct |
54 |
Correct |
23 ms |
11200 KB |
Output is correct |
55 |
Correct |
105 ms |
44636 KB |
Output is correct |
56 |
Correct |
124 ms |
54932 KB |
Output is correct |
57 |
Correct |
123 ms |
55040 KB |
Output is correct |
58 |
Correct |
115 ms |
54988 KB |
Output is correct |
59 |
Correct |
111 ms |
55076 KB |
Output is correct |
60 |
Correct |
116 ms |
55068 KB |
Output is correct |
61 |
Correct |
99 ms |
47556 KB |
Output is correct |
62 |
Correct |
96 ms |
45452 KB |
Output is correct |
63 |
Correct |
108 ms |
51708 KB |
Output is correct |
64 |
Correct |
109 ms |
52276 KB |
Output is correct |
65 |
Correct |
114 ms |
48748 KB |
Output is correct |
66 |
Correct |
109 ms |
48864 KB |
Output is correct |
67 |
Correct |
136 ms |
55104 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
9 ms |
328 KB |
Output is correct |
14 |
Correct |
11 ms |
332 KB |
Output is correct |
15 |
Correct |
12 ms |
340 KB |
Output is correct |
16 |
Correct |
14 ms |
212 KB |
Output is correct |
17 |
Correct |
16 ms |
340 KB |
Output is correct |
18 |
Correct |
16 ms |
340 KB |
Output is correct |
19 |
Correct |
16 ms |
336 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
0 ms |
212 KB |
Output is correct |
22 |
Correct |
0 ms |
212 KB |
Output is correct |
23 |
Correct |
0 ms |
212 KB |
Output is correct |
24 |
Correct |
0 ms |
212 KB |
Output is correct |
25 |
Correct |
0 ms |
212 KB |
Output is correct |
26 |
Correct |
0 ms |
212 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
0 ms |
212 KB |
Output is correct |
33 |
Correct |
0 ms |
212 KB |
Output is correct |
34 |
Correct |
0 ms |
212 KB |
Output is correct |
35 |
Correct |
0 ms |
212 KB |
Output is correct |
36 |
Correct |
0 ms |
212 KB |
Output is correct |
37 |
Correct |
0 ms |
212 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
0 ms |
340 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
0 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
0 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
340 KB |
Output is correct |
48 |
Correct |
0 ms |
340 KB |
Output is correct |
49 |
Correct |
1 ms |
340 KB |
Output is correct |
50 |
Correct |
1 ms |
340 KB |
Output is correct |
51 |
Correct |
0 ms |
212 KB |
Output is correct |
52 |
Correct |
0 ms |
212 KB |
Output is correct |
53 |
Correct |
1 ms |
212 KB |
Output is correct |
54 |
Correct |
1 ms |
212 KB |
Output is correct |
55 |
Correct |
0 ms |
212 KB |
Output is correct |
56 |
Correct |
0 ms |
212 KB |
Output is correct |
57 |
Correct |
1 ms |
596 KB |
Output is correct |
58 |
Correct |
4 ms |
2004 KB |
Output is correct |
59 |
Correct |
6 ms |
2388 KB |
Output is correct |
60 |
Correct |
5 ms |
2388 KB |
Output is correct |
61 |
Correct |
5 ms |
2388 KB |
Output is correct |
62 |
Correct |
5 ms |
2388 KB |
Output is correct |
63 |
Correct |
5 ms |
2388 KB |
Output is correct |
64 |
Correct |
4 ms |
2132 KB |
Output is correct |
65 |
Correct |
6 ms |
2260 KB |
Output is correct |
66 |
Correct |
4 ms |
2304 KB |
Output is correct |
67 |
Correct |
4 ms |
2260 KB |
Output is correct |
68 |
Correct |
4 ms |
2260 KB |
Output is correct |
69 |
Correct |
4 ms |
2260 KB |
Output is correct |
70 |
Correct |
5 ms |
2388 KB |
Output is correct |
71 |
Correct |
23 ms |
11200 KB |
Output is correct |
72 |
Correct |
105 ms |
44636 KB |
Output is correct |
73 |
Correct |
124 ms |
54932 KB |
Output is correct |
74 |
Correct |
123 ms |
55040 KB |
Output is correct |
75 |
Correct |
115 ms |
54988 KB |
Output is correct |
76 |
Correct |
111 ms |
55076 KB |
Output is correct |
77 |
Correct |
116 ms |
55068 KB |
Output is correct |
78 |
Correct |
99 ms |
47556 KB |
Output is correct |
79 |
Correct |
96 ms |
45452 KB |
Output is correct |
80 |
Correct |
108 ms |
51708 KB |
Output is correct |
81 |
Correct |
109 ms |
52276 KB |
Output is correct |
82 |
Correct |
114 ms |
48748 KB |
Output is correct |
83 |
Correct |
109 ms |
48864 KB |
Output is correct |
84 |
Correct |
136 ms |
55104 KB |
Output is correct |
85 |
Correct |
303 ms |
136972 KB |
Output is correct |
86 |
Correct |
837 ms |
342288 KB |
Output is correct |
87 |
Correct |
870 ms |
342656 KB |
Output is correct |
88 |
Correct |
846 ms |
342712 KB |
Output is correct |
89 |
Correct |
844 ms |
342668 KB |
Output is correct |
90 |
Correct |
832 ms |
342816 KB |
Output is correct |
91 |
Correct |
560 ms |
283444 KB |
Output is correct |
92 |
Correct |
862 ms |
281628 KB |
Output is correct |
93 |
Correct |
758 ms |
315972 KB |
Output is correct |
94 |
Correct |
788 ms |
325480 KB |
Output is correct |
95 |
Correct |
768 ms |
303164 KB |
Output is correct |
96 |
Correct |
750 ms |
303260 KB |
Output is correct |
97 |
Correct |
917 ms |
342732 KB |
Output is correct |