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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#799146 | #8211. Enumerating Substrings | ucup-team173 | AC ✓ | 91ms | 35168kb | C++20 | 2.3kb | 2024-12-04 23:08:22 | 2024-12-04 23:08:22 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
using ll = long long;
using db = double;
const int mod = 1e9 + 7;
int add(int x, int y) {
x += y;
return x >= mod ? x - mod : x;
}
void addto(int& x, int y) {
x += y;
if (x >= mod) x -= mod;
}
int mul(int x, int y) {
return 1ll * x * y % mod;
}
int qpow(int a, int b) {
int ans = 1;
while (b) {
if (b & 1) ans = mul(ans, a);
a = mul(a, a);
b >>= 1;
}
return ans;
}
const int maxn = 1e6 + 10, maxm = 2e3 + 10;
int n, m, k;
int beautiful[maxm][maxm];
int wxw[maxm];
int mem[maxm][maxm];
int calc(int d, int w) {
if (mem[d][w] != -1) return mem[d][w];
int& ans = mem[d][w];
if (k - d <= 0) return ans = 0;
if (w == 0) return ans = 1;
assert((k - d - w + 1 + mod) % mod >= 0);
return ans = mul(calc(d, w - 1), (k - d - w + 1 + mod) % mod);
}
void solve() {
memset(mem, -1, sizeof mem);
cin >> n >> m >> k;
beautiful[0][0] = 1;
for (int i = 1; i <= m; i++) {
for (int j = 1; j <= m; j++) {
if (k - j + 1 > 0)
addto(beautiful[i][j], mul(beautiful[i - 1][j - 1], k - j + 1));
if (j * 2 - (i - 1) > 0)
addto(beautiful[i][j], mul(beautiful[i - 1][j], j * 2 - (i - 1)));
// cerr << beautiful[i][j] << " \n"[j == m];
}
}
int ans = 0;
for (int i = 1; i <= m; i++) {
addto(wxw[0], beautiful[m][i]);
}
for (int w = 1; w * 2 <= m; w++) {
int x = m - w * 2;
for (int d = 0; d <= x; d++) {
addto(wxw[w], mul(beautiful[x][d], calc(d, w)));
}
addto(wxw[0], mod - wxw[w]);
for (int t = 1; t * x + (t + 1) * w <= n; t++) {
int len = t * x + (t + 1) * w;
addto(ans, mul(wxw[w], mul(n - len + 1, mul(qpow(k, n - len), t % 2 ? 1 : mod - 1))));
}
}
addto(ans, mul(mul(n - m + 1, wxw[0]), qpow(k, n - m)));
// for (int i = 0; i <= m; i++) {
// cout << wxw[i] << " \n"[i == m];
// }
cout << ans << "\n";
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int t = 1;
// cin >> t;
while (t--) solve();
return 0;
}
/*
1-2-3-4-5
*/
/*
5
3 4 1
2 1 1
4 5 1
3 2 1
3
2 2
3 2
1 2
*/
这程序好像有点Bug,我给组数据试试?
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 19516kb
input:
4 2 3
output:
228
result:
ok 1 number(s): "228"
Test #2:
score: 0
Accepted
time: 91ms
memory: 35168kb
input:
999999 1999 12345678
output:
52352722
result:
ok 1 number(s): "52352722"
Test #3:
score: 0
Accepted
time: 0ms
memory: 20548kb
input:
7 4 2
output:
182
result:
ok 1 number(s): "182"
Test #4:
score: 0
Accepted
time: 0ms
memory: 20692kb
input:
4 3 4
output:
480
result:
ok 1 number(s): "480"
Test #5:
score: 0
Accepted
time: 4ms
memory: 19576kb
input:
3 1 1
output:
3
result:
ok 1 number(s): "3"
Test #6:
score: 0
Accepted
time: 0ms
memory: 20292kb
input:
5 5 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 0ms
memory: 20348kb
input:
7 4 3
output:
5784
result:
ok 1 number(s): "5784"
Test #8:
score: 0
Accepted
time: 3ms
memory: 20544kb
input:
5 2 4
output:
3932
result:
ok 1 number(s): "3932"
Test #9:
score: 0
Accepted
time: 0ms
memory: 21288kb
input:
8 2 2
output:
1522
result:
ok 1 number(s): "1522"
Test #10:
score: 0
Accepted
time: 0ms
memory: 19532kb
input:
8 1 2
output:
2048
result:
ok 1 number(s): "2048"
Test #11:
score: 0
Accepted
time: 0ms
memory: 20964kb
input:
7 5 3
output:
2430
result:
ok 1 number(s): "2430"
Test #12:
score: 0
Accepted
time: 0ms
memory: 21196kb
input:
10 4 3
output:
272004
result:
ok 1 number(s): "272004"
Test #13:
score: 0
Accepted
time: 49ms
memory: 23604kb
input:
675978 614 2
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 15ms
memory: 19636kb
input:
244613 38 1
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 14ms
memory: 30936kb
input:
186293 1462 1
output:
0
result:
ok 1 number(s): "0"
Test #16:
score: 0
Accepted
time: 6ms
memory: 26080kb
input:
24867 886 1
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 65ms
memory: 27420kb
input:
976164 1014 2
output:
0
result:
ok 1 number(s): "0"
Test #18:
score: 0
Accepted
time: 15ms
memory: 20160kb
input:
179356 2 716844809
output:
577866092
result:
ok 1 number(s): "577866092"
Test #19:
score: 0
Accepted
time: 40ms
memory: 20120kb
input:
621001 130 310625363
output:
892869197
result:
ok 1 number(s): "892869197"
Test #20:
score: 0
Accepted
time: 45ms
memory: 25760kb
input:
678862 850 754662812
output:
582264789
result:
ok 1 number(s): "582264789"
Test #21:
score: 0
Accepted
time: 46ms
memory: 27032kb
input:
650845 978 348443366
output:
825425732
result:
ok 1 number(s): "825425732"
Test #22:
score: 0
Accepted
time: 44ms
memory: 21988kb
input:
669914 402 87448112
output:
318098088
result:
ok 1 number(s): "318098088"
Test #23:
score: 0
Accepted
time: 64ms
memory: 22920kb
input:
998593 530 681228665
output:
408255654
result:
ok 1 number(s): "408255654"
Test #24:
score: 0
Accepted
time: 40ms
memory: 34804kb
input:
369361 1954 125266115
output:
509912384
result:
ok 1 number(s): "509912384"
Test #25:
score: 0
Accepted
time: 62ms
memory: 30304kb
input:
900226 1378 424079373
output:
406320917
result:
ok 1 number(s): "406320917"
Test #26:
score: 0
Accepted
time: 33ms
memory: 31308kb
input:
334887 1506 17859926
output:
503264679
result:
ok 1 number(s): "503264679"
Test #27:
score: 0
Accepted
time: 64ms
memory: 23068kb
input:
936048 544 53978328
output:
548647866
result:
ok 1 number(s): "548647866"
Test #28:
score: 0
Accepted
time: 21ms
memory: 29464kb
input:
152789 1264 792983073
output:
839541707
result:
ok 1 number(s): "839541707"
Test #29:
score: 0
Accepted
time: 60ms
memory: 30336kb
input:
714493 1392 91796331
output:
721071046
result:
ok 1 number(s): "721071046"
Test #30:
score: 0
Accepted
time: 21ms
memory: 25452kb
input:
269571 816 830801077
output:
330064211
result:
ok 1 number(s): "330064211"
Test #31:
score: 0
Accepted
time: 58ms
memory: 26732kb
input:
845120 944 424581630
output:
348960190
result:
ok 1 number(s): "348960190"
Test #32:
score: 0
Accepted
time: 31ms
memory: 22028kb
input:
533990 368 163586376
output:
522092095
result:
ok 1 number(s): "522092095"
Test #33:
score: 0
Accepted
time: 24ms
memory: 33604kb
input:
181707 1792 462399634
output:
373795106
result:
ok 1 number(s): "373795106"
Test #34:
score: 0
Accepted
time: 40ms
memory: 34548kb
input:
417349 1920 761212891
output:
587051329
result:
ok 1 number(s): "587051329"
Test #35:
score: 0
Accepted
time: 42ms
memory: 30036kb
input:
526583 1344 500217637
output:
108767800
result:
ok 1 number(s): "108767800"
Test #36:
score: 0
Accepted
time: 55ms
memory: 24872kb
input:
867054 769 93998191
output:
239123369
result:
ok 1 number(s): "239123369"
Extra Test:
score: 0
Extra Test Passed