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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#149709#6410. Classical DP ProblemInsert_Username_HereWA 1ms3560kbC++201.3kb2023-08-25 11:38:052023-08-25 11:38:06

Judging History

你现在查看的是最新测评结果

  • [2023-08-25 11:38:06]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3560kb
  • [2023-08-25 11:38:05]
  • 提交

answer

#include <bits/stdc++.h>
#define f first
#define s second
#define mp make_pair
using namespace std;
typedef long long ll;
const ll mod = 998244353;
// Cope Counter = at least 120

ll po(ll b, ll p) {
  ll a = 1;
  while(p > 0) {
    if(p % 2 == 1) a = a * b % mod;
    b = b * b % mod;
    p /= 2;
  }
  return a;
}

signed main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
  ll n;
  cin >> n;
  ll fact[n + 1], inv[n + 1], arr[n + 1][2];
  fact[0] = 1;
  for(ll i = 1; i <= n; i++) fact[i] = fact[i - 1] * i % mod;
  inv[n] = po(fact[n], mod - 2);
  for(ll i = n - 1; i >= 0; i--) inv[i] = inv[i + 1] * (i + 1) % mod;
  ll smax = 0, c = 0;
  arr[n][0] = arr[n][1] = 0;
  for(ll i = n - 1; i >= 0; i--) {
    cin >> arr[i][0];
    for(; c < arr[i][0]; c++) arr[c][1] = i + 1;
    smax = max(smax, min(i + 1, arr[i][0]));
  }
  for(; c <= n; c++) arr[c][1] = 0;
  ll ans = 0, cur, cols;
  for(int bk = 0; bk < 2; bk++) {
    cols = arr[smax][bk];
    for(ll i = 0; i <= cols; i++) {
      cur = fact[cols] * inv[i] % mod * inv[cols - i] % mod;
      for(ll j = 0; j < smax; j++) {
        cur = cur * (arr[j][bk] - i) % mod;
      }
      if(i & 1) cur = -cur;
      ans = (ans + cur + mod) % mod;
    }
  }
  cout << smax << " " << (ans - fact[smax]) % mod << "\n";
}

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 3500kb

input:

3
1 2 3

output:

2 6

result:

ok 2 number(s): "2 6"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3392kb

input:

1
1

output:

1 1

result:

ok 2 number(s): "1 1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3392kb

input:

2
1 1

output:

1 2

result:

ok 2 number(s): "1 2"

Test #4:

score: 0
Accepted
time: 1ms
memory: 3404kb

input:

2
2 2

output:

2 6

result:

ok 2 number(s): "2 6"

Test #5:

score: 0
Accepted
time: 1ms
memory: 3556kb

input:

3
1 1 1

output:

1 3

result:

ok 2 number(s): "1 3"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

3
2 2 2

output:

2 9

result:

ok 2 number(s): "2 9"

Test #7:

score: 0
Accepted
time: 1ms
memory: 3392kb

input:

3
3 3 3

output:

3 48

result:

ok 2 number(s): "3 48"

Test #8:

score: 0
Accepted
time: 1ms
memory: 3392kb

input:

5
1 1 3 3 4

output:

3 47

result:

ok 2 number(s): "3 47"

Test #9:

score: 0
Accepted
time: 1ms
memory: 3508kb

input:

10
2 4 5 5 5 5 6 8 8 10

output:

5 864

result:

ok 2 number(s): "5 864"

Test #10:

score: -100
Wrong Answer
time: 1ms
memory: 3440kb

input:

30
6 8 9 9 9 10 13 14 15 15 16 17 17 18 20 22 22 23 23 24 24 25 25 25 27 28 28 29 29 30

output:

17 -12054489

result:

wrong answer 2nd numbers differ - expected: '986189864', found: '-12054489'