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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#320550 | #8211. Enumerating Substrings | ucup-team1516# | AC ✓ | 35ms | 37988kb | C++20 | 2.1kb | 2024-02-03 17:53:44 | 2024-02-03 17:53:44 |
Judging History
answer
#include <string.h>
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cfloat>
#include <climits>
#include <cmath>
#include <complex>
#include <ctime>
#include <deque>
#include <fstream>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <memory>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
constexpr int mod = 1000000007;
void mpl(int &x,int y) {
x += y;
if(x >= mod) x -= mod;
}
int dp[2020][2020];
int f[2020202],f2[2020][2020];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n,m,k;
cin >> n >> m >> k;
f[0] = 1;
for(int i = 1; i <= n; i++) {
f[i] = 1ll*f[i-1]*k%mod;
}
for(int i = 0; i <= m; i++) {
if(k-i < 0) break;
f2[i][0] = 1;
for(int j = 1; j <= m; j++) {
f2[i][j] = 1ll*f2[i][j-1]*(k-i-j+1)%mod;
}
}
dp[0][0] = 1;
for(int i = 0; i <= m; i++) {
for(int j = 0; j <= m; j++) {
if(!dp[i][j]) continue;
mpl(dp[i+1][j+1],1ll*dp[i][j]*(k-j)%mod);
int a = j*2-i;
mpl(dp[i+1][j],1ll*dp[i][j]*a%mod);
}
}
int res = 0;
for(int i = 0; i <= m; i++) {
mpl(res,dp[m][i]);
}
int ans = 0;
for(int i = 1; i <= m/2; i++) {
int sum = 0;
for(int j = 0; j <= m; j++) {
mpl(sum,1ll*dp[m-2*i][j]*f2[j][i]%mod);
mpl(res,mod-1ll*dp[m-2*i][j]*f2[j][i]%mod);
}
for(int j = 1; j <= n; j += 2) {
if(m+(j-1)*(m-i) > n) break;
int a = m+(j-1)*(m-i),b = m-i;
int mi = min(b,n-a+1);
mpl(ans,1ll*sum*mi%mod*f[n-a]%mod);
if(n >= a+b) {
mpl(ans,1ll*sum*(n-a-b+1)%mod*f[n-a-b]%mod*(f[b]+mod-1)%mod);
}
}
}
mpl(ans,1ll*res*(n-m+1)%mod*f[n-m]%mod);
cout << ans << "\n";
}
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: 0ms
memory: 7728kb
input:
4 2 3
output:
228
result:
ok 1 number(s): "228"
Test #2:
score: 0
Accepted
time: 35ms
memory: 37988kb
input:
999999 1999 12345678
output:
52352722
result:
ok 1 number(s): "52352722"
Test #3:
score: 0
Accepted
time: 0ms
memory: 7800kb
input:
7 4 2
output:
182
result:
ok 1 number(s): "182"
Test #4:
score: 0
Accepted
time: 1ms
memory: 7696kb
input:
4 3 4
output:
480
result:
ok 1 number(s): "480"
Test #5:
score: 0
Accepted
time: 1ms
memory: 7752kb
input:
3 1 1
output:
3
result:
ok 1 number(s): "3"
Test #6:
score: 0
Accepted
time: 1ms
memory: 7676kb
input:
5 5 1
output:
0
result:
ok 1 number(s): "0"
Test #7:
score: 0
Accepted
time: 1ms
memory: 7696kb
input:
7 4 3
output:
5784
result:
ok 1 number(s): "5784"
Test #8:
score: 0
Accepted
time: 1ms
memory: 7728kb
input:
5 2 4
output:
3932
result:
ok 1 number(s): "3932"
Test #9:
score: 0
Accepted
time: 1ms
memory: 7688kb
input:
8 2 2
output:
1522
result:
ok 1 number(s): "1522"
Test #10:
score: 0
Accepted
time: 0ms
memory: 7680kb
input:
8 1 2
output:
2048
result:
ok 1 number(s): "2048"
Test #11:
score: 0
Accepted
time: 0ms
memory: 7760kb
input:
7 5 3
output:
2430
result:
ok 1 number(s): "2430"
Test #12:
score: 0
Accepted
time: 0ms
memory: 7748kb
input:
10 4 3
output:
272004
result:
ok 1 number(s): "272004"
Test #13:
score: 0
Accepted
time: 0ms
memory: 9856kb
input:
675978 614 2
output:
0
result:
ok 1 number(s): "0"
Test #14:
score: 0
Accepted
time: 3ms
memory: 7756kb
input:
244613 38 1
output:
0
result:
ok 1 number(s): "0"
Test #15:
score: 0
Accepted
time: 3ms
memory: 9744kb
input:
186293 1462 1
output:
0
result:
ok 1 number(s): "0"
Test #16:
score: 0
Accepted
time: 2ms
memory: 7744kb
input:
24867 886 1
output:
0
result:
ok 1 number(s): "0"
Test #17:
score: 0
Accepted
time: 8ms
memory: 11868kb
input:
976164 1014 2
output:
0
result:
ok 1 number(s): "0"
Test #18:
score: 0
Accepted
time: 2ms
memory: 7744kb
input:
179356 2 716844809
output:
577866092
result:
ok 1 number(s): "577866092"
Test #19:
score: 0
Accepted
time: 3ms
memory: 12060kb
input:
621001 130 310625363
output:
892869197
result:
ok 1 number(s): "892869197"
Test #20:
score: 0
Accepted
time: 7ms
memory: 19944kb
input:
678862 850 754662812
output:
582264789
result:
ok 1 number(s): "582264789"
Test #21:
score: 0
Accepted
time: 13ms
memory: 22736kb
input:
650845 978 348443366
output:
825425732
result:
ok 1 number(s): "825425732"
Test #22:
score: 0
Accepted
time: 3ms
memory: 15372kb
input:
669914 402 87448112
output:
318098088
result:
ok 1 number(s): "318098088"
Test #23:
score: 0
Accepted
time: 15ms
memory: 19516kb
input:
998593 530 681228665
output:
408255654
result:
ok 1 number(s): "408255654"
Test #24:
score: 0
Accepted
time: 33ms
memory: 35016kb
input:
369361 1954 125266115
output:
509912384
result:
ok 1 number(s): "509912384"
Test #25:
score: 0
Accepted
time: 26ms
memory: 29388kb
input:
900226 1378 424079373
output:
406320917
result:
ok 1 number(s): "406320917"
Test #26:
score: 0
Accepted
time: 27ms
memory: 29800kb
input:
334887 1506 17859926
output:
503264679
result:
ok 1 number(s): "503264679"
Test #27:
score: 0
Accepted
time: 10ms
memory: 17300kb
input:
936048 544 53978328
output:
548647866
result:
ok 1 number(s): "548647866"
Test #28:
score: 0
Accepted
time: 14ms
memory: 24420kb
input:
152789 1264 792983073
output:
839541707
result:
ok 1 number(s): "839541707"
Test #29:
score: 0
Accepted
time: 18ms
memory: 29376kb
input:
714493 1392 91796331
output:
721071046
result:
ok 1 number(s): "721071046"
Test #30:
score: 0
Accepted
time: 7ms
memory: 17668kb
input:
269571 816 830801077
output:
330064211
result:
ok 1 number(s): "330064211"
Test #31:
score: 0
Accepted
time: 15ms
memory: 22696kb
input:
845120 944 424581630
output:
348960190
result:
ok 1 number(s): "348960190"
Test #32:
score: 0
Accepted
time: 4ms
memory: 13180kb
input:
533990 368 163586376
output:
522092095
result:
ok 1 number(s): "522092095"
Test #33:
score: 0
Accepted
time: 26ms
memory: 32364kb
input:
181707 1792 462399634
output:
373795106
result:
ok 1 number(s): "373795106"
Test #34:
score: 0
Accepted
time: 32ms
memory: 33492kb
input:
417349 1920 761212891
output:
587051329
result:
ok 1 number(s): "587051329"
Test #35:
score: 0
Accepted
time: 26ms
memory: 29060kb
input:
526583 1344 500217637
output:
108767800
result:
ok 1 number(s): "108767800"
Test #36:
score: 0
Accepted
time: 12ms
memory: 21252kb
input:
867054 769 93998191
output:
239123369
result:
ok 1 number(s): "239123369"
Extra Test:
score: 0
Extra Test Passed