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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#100865 | #1810. Generate the Sequences | ckiseki# | AC ✓ | 39ms | 30968kb | C++20 | 1.8kb | 2023-04-28 14:55:51 | 2023-04-28 14:55:53 |
Judging History
answer
#include <bits/stdc++.h>
#ifdef CKISEKI
#define safe cerr<<__PRETTY_FUNCTION__<<" line "<<__LINE__<<" safe\n"
#define debug(a...) debug_(#a, a)
#define orange(a...) orange_(#a, a)
using std::cerr;
template <typename ...T>
void debug_(const char *s, T ...a) {
cerr << "\e[1;32m(" << s << ") = (";
int cnt = sizeof...(T);
(..., (cerr << a << (--cnt ? ", " : ")\e[0m\n")));
}
template <typename Iter>
void orange_(const char *s, Iter L, Iter R) {
cerr << "\e[1;32m[ " << s << " ] = [ ";
for (int f = 0; L != R; ++L)
cerr << (f++ ? ", " : "") << *L;
cerr << " ]\e[0m\n";
}
#else
#define safe ((void)0)
#define debug(...) safe
#define orange(...) safe
#endif
#define all(v) begin(v), end(v)
using namespace std;
const int mod = 998244353;
void imadd(int &x, int y) {
x = (x + y >= mod ? x + y - mod : x + y);
}
int mul(int64_t a, int64_t b) {
return static_cast<int>(a * b % mod);
}
const int maxn = 3025;
int dp[maxn][maxn];
int fac[maxn], ifac[maxn], inv[maxn];
int comb(int a, int b) {
return mul(fac[a], mul(ifac[b], ifac[a - b]));
}
int main() {
inv[1] = 1;
for (int i = 2; i < maxn; i++)
inv[i] = mul(inv[mod % i], mod - mod / i);
fac[0] = ifac[0] = 1;
for (int i = 1; i < maxn; i++)
fac[i] = mul(fac[i - 1], i), ifac[i] = mul(ifac[i - 1], inv[i]);
cin.tie(nullptr)->sync_with_stdio(false);
int N, M;
cin >> N >> M;
dp[0][0] = 1;
for (int i = 0; i < N; i++) {
for (int j = 0; j <= i; j++) {
imadd(dp[i + 1][j + 1], dp[i][j]);
imadd(dp[i + 1][j], mul((1LL * j * (M - 2) - (i - j)) % mod, dp[i][j]));
}
}
int ans = 0;
for (int i = 0; i <= N; i++) {
for (int j = 0; j <= N; j++) {
imadd(ans, mul(dp[i][j], comb(N, i)));
}
}
cout << ans << '\n';
}
詳細信息
Test #1:
score: 100
Accepted
time: 0ms
memory: 3432kb
input:
2 3
output:
5
result:
ok answer is '5'
Test #2:
score: 0
Accepted
time: 11ms
memory: 9480kb
input:
1024 52689658
output:
654836147
result:
ok answer is '654836147'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3404kb
input:
1 2
output:
2
result:
ok answer is '2'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3400kb
input:
1 3
output:
2
result:
ok answer is '2'
Test #5:
score: 0
Accepted
time: 2ms
memory: 3452kb
input:
1 100000000
output:
2
result:
ok answer is '2'
Test #6:
score: 0
Accepted
time: 1ms
memory: 3480kb
input:
2 2
output:
4
result:
ok answer is '4'
Test #7:
score: 0
Accepted
time: 2ms
memory: 3412kb
input:
2 4
output:
6
result:
ok answer is '6'
Test #8:
score: 0
Accepted
time: 2ms
memory: 3236kb
input:
2 5
output:
7
result:
ok answer is '7'
Test #9:
score: 0
Accepted
time: 2ms
memory: 3352kb
input:
2 100000000
output:
100000002
result:
ok answer is '100000002'
Test #10:
score: 0
Accepted
time: 2ms
memory: 3404kb
input:
3 2
output:
8
result:
ok answer is '8'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3484kb
input:
3 3
output:
14
result:
ok answer is '14'
Test #12:
score: 0
Accepted
time: 2ms
memory: 3380kb
input:
3 4
output:
22
result:
ok answer is '22'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3352kb
input:
3 5
output:
32
result:
ok answer is '32'
Test #14:
score: 0
Accepted
time: 2ms
memory: 3352kb
input:
3 100000000
output:
446563791
result:
ok answer is '446563791'
Test #15:
score: 0
Accepted
time: 20ms
memory: 30968kb
input:
3000 2
output:
21292722
result:
ok answer is '21292722'
Test #16:
score: 0
Accepted
time: 39ms
memory: 30868kb
input:
3000 3
output:
172222927
result:
ok answer is '172222927'
Test #17:
score: 0
Accepted
time: 30ms
memory: 30944kb
input:
3000 100000000
output:
736503947
result:
ok answer is '736503947'
Test #18:
score: 0
Accepted
time: 27ms
memory: 25412kb
input:
2522 61077387
output:
857454425
result:
ok answer is '857454425'
Test #19:
score: 0
Accepted
time: 2ms
memory: 5472kb
input:
426 7215704
output:
799491736
result:
ok answer is '799491736'
Test #20:
score: 0
Accepted
time: 2ms
memory: 7656kb
input:
772 72289915
output:
848141383
result:
ok answer is '848141383'
Test #21:
score: 0
Accepted
time: 13ms
memory: 13368kb
input:
1447 83321470
output:
160422285
result:
ok answer is '160422285'
Test #22:
score: 0
Accepted
time: 32ms
memory: 25020kb
input:
2497 64405193
output:
355300540
result:
ok answer is '355300540'
Test #23:
score: 0
Accepted
time: 0ms
memory: 7548kb
input:
775 9385367
output:
470172346
result:
ok answer is '470172346'
Test #24:
score: 0
Accepted
time: 6ms
memory: 9128kb
input:
982 72596758
output:
7144187
result:
ok answer is '7144187'
Test #25:
score: 0
Accepted
time: 4ms
memory: 5340kb
input:
417 26177178
output:
776374896
result:
ok answer is '776374896'
Test #26:
score: 0
Accepted
time: 15ms
memory: 18308kb
input:
1932 19858856
output:
285834553
result:
ok answer is '285834553'
Test #27:
score: 0
Accepted
time: 31ms
memory: 27756kb
input:
2728 23009122
output:
433516287
result:
ok answer is '433516287'
Test #28:
score: 0
Accepted
time: 24ms
memory: 17612kb
input:
1857 22578508
output:
243488639
result:
ok answer is '243488639'
Test #29:
score: 0
Accepted
time: 36ms
memory: 30008kb
input:
2918 69623276
output:
546299707
result:
ok answer is '546299707'
Test #30:
score: 0
Accepted
time: 16ms
memory: 15616kb
input:
1679 21332149
output:
217000656
result:
ok answer is '217000656'
Test #31:
score: 0
Accepted
time: 10ms
memory: 12352kb
input:
1340 6251797
output:
267221018
result:
ok answer is '267221018'
Test #32:
score: 0
Accepted
time: 8ms
memory: 8372kb
input:
868 64770398
output:
652067665
result:
ok answer is '652067665'