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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#214161#2693. NEQSTASISZHY2531ms4188kbC++11985b2024-11-15 21:03:372024-11-15 23:26:37

answer

// Problem: D. NEQ
// Contest: undefined - NOIP2024训练赛 06
// URL: http://www.noi.ac/contest/1158/problem/2693
// Memory Limit: 1024 MB
// Time Limit: 1000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#include<bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define PII pair<int, int>

using namespace std;

const int N = 4e5 + 10, M = 1e6 + 10, mod = 1e9 + 7, INF = 0x3f3f3f3f;

int n, m, q, ans;
int s[N], dp[N];

// vector<int> e[N];

int A(int n, int m) 
{
	int res = 1;
	for(int i = n; i >= n - m + 1; i--) res = (res * i) % mod;
	return res;
}

signed main()
{
	ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
	int T; cin >> T;
	while(T --)
	{
		cin >> n >> m;
		dp[0] = 1, dp[1] = m - n;
		ans = A(m, n);
		for(int i = 2; i <= n; i++) 
			dp[i] = ((m - n) * dp[i - 1] % mod + (i - 1) * (dp[i - 2] + dp[i - 1]) % mod) % mod;
		ans = (ans * dp[n]) % mod;
		cout << ans << '\n'; 
	}
	return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 0ms
memory: 1252kb

input:

10
10 10
10 10
2 10
3 10
9 10
1 10
8 10
7 10
1 10
10 10

output:

306442892
306442892
6570
379440
736724304
90
748248938
605640347
90
306442892

result:

ok 10 lines

Test #2:

score: 5
Accepted
time: 0ms
memory: 1248kb

input:

10
5 10
1 10
8 10
3 10
4 10
7 10
5 10
8 10
10 10
9 10

output:

547011360
90
748248938
379440
16798320
605640347
547011360
748248938
306442892
736724304

result:

ok 10 lines

Test #3:

score: 5
Accepted
time: 0ms
memory: 1248kb

input:

10
10 10
3 10
1 10
2 10
9 10
10 10
2 10
4 10
3 10
3 10

output:

306442892
379440
90
6570
736724304
306442892
6570
16798320
379440
379440

result:

ok 10 lines

Test #4:

score: 5
Accepted
time: 0ms
memory: 1248kb

input:

10
10 10
1 10
6 10
8 10
1 10
7 10
2 10
8 10
5 10
2 10

output:

306442892
90
383431116
748248938
90
605640347
6570
748248938
547011360
6570

result:

ok 10 lines

Test #5:

score: 0
Runtime Error

input:

10
209948 325367
32718 415553
23204 942400
112174 378481
606851 967435
136404 1014128
219328 240497
...

output:


result:


Test #6:

score: 0
Runtime Error

input:

10
138556 734356
435301 1331052
987730 1772096
814036 824058
46984 404156
483366 1120849
343377 9489...

output:


result:


Test #7:

score: 0
Runtime Error

input:

10
3667 227437
960664 1136884
126289 1829473
242537 1330052
375909 872744
356898 531785
229031 14944...

output:


result:


Test #8:

score: 0
Runtime Error

input:

10
567322 1929060
1001468 1289434
163254 319786
698923 843859
740264 759489
203918 1063292
508483 79...

output:


result:


Test #9:

score: 0
Runtime Error

input:

10
1132589 1775386
207807 262123
63505 1358101
1428754 1798082
418855 455426
73850 272549
48576 1778...

output:


result:


Test #10:

score: 0
Runtime Error

input:

10
1695462 1939750
29235 1185790
194617 546134
337070 554401
768444 1892158
332841 882745
154636 920...

output:


result:


Test #11:

score: 0
Runtime Error

input:

10
674754 1159686
406921 960658
932058 1996799
48795 455853
554994 1113156
121831 1251202
1177109 15...

output:


result:


Test #12:

score: 0
Runtime Error

input:

10
701259 1332249
16908 633852
601124 1004557
581334 1216395
715566 1429189
862389 1656521
1345860 1...

output:


result:


Test #13:

score: 0
Runtime Error

input:

10
509226 1079784
65211 359751
304345 1114412
270468 1517516
177717 1461562
4559 1484183
291180 1856...

output:


result:


Test #14:

score: 0
Runtime Error

input:

10
844547 1065326
12765 348551
197870 493940
891829 1952960
408481 766220
42263 225437
1177449 15681...

output:


result:


Test #15:

score: 0
Runtime Error

input:

10
62489 1977001
1570544 1875539
190951 1046439
1006494 1596866
206518 527273
30700 804024
655225 14...

output:


result:


Test #16:

score: 5
Accepted
time: 31ms
memory: 4188kb

input:

10
192607 393179
201595 598364
94889 116297
68937 362063
375790 1173019
4169 213558
197175 1639344
8...

output:

675256418
743911917
169590876
438184575
303535039
821743664
735301178
652505454
446403563
727169327

result:

ok 10 lines

Test #17:

score: 0
Runtime Error

input:

10
798288 1987237
157453 1550357
705426 990370
613123 1321568
899033 956256
44168 172324
819515 1170...

output:


result:


Test #18:

score: 0
Runtime Error

input:

10
967864 1453914
481508 1761132
600063 853502
157152 1439130
76065 845828
663705 780511
192271 7895...

output:


result:


Test #19:

score: 0
Runtime Error

input:

10
933205 1384428
454383 955044
102873 1155697
143556 1235390
1498546 1673058
550403 1705906
44112 1...

output:


result:


Test #20:

score: 0
Runtime Error

input:

10
837543 861815
41145 74826
16836 20151
281906 835757
82984 232797
228888 347747
303856 369347
4196...

output:


result: