QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#108059 | #6408. Classical Counting Problem | whatever# | WA | 8ms | 3508kb | C++17 | 2.0kb | 2023-05-23 15:21:59 | 2023-05-23 15:22:03 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
mt19937_64 rnd(chrono::steady_clock::now().time_since_epoch().count());
#define rep(i, a, b) for (int i = (a), I = (b); i <= I; ++i)
#define per(i, a, b) for (int i = (a), I = (b); i >= I; --i)
using i64 = long long;
using pii = pair<int, int>;
template<typename T> void up(T &x, T y) { if (x < y) x = y; }
template<typename T> void down(T &x, T y) { if (x > y) x = y; }
const int P = 998244353;
void add(int &x, int y) { (x += y) >= P && (x -= P); }
int Add(int x, int y) { return (x += y) >= P ? (x - P) : x; }
void sub(int &x, int y) { (x -= y) < 0 && (x += P); }
int Sub(int x, int y) { return (x -= y) < 0 ? (x + P) : x; }
void mul(int &x, int y) { x = 1ll * x * y % P; }
int Mul(int x, int y) { return 1ll * x * y % P; }
int power(int a, int b, int c = 1) {
for (; b; b >>= 1, mul(a, a))
if (b & 1) mul(c, a);
return c;
}
const int N = 105;
int n, m, v, a[N], dp[N * N], C[N][N];
void add(int x) {
per(i, N * N - 1, x) dp[i] += dp[i - x];
}
void solve() {
cin >> n >> m >> v;
rep(i, 1, n) cin >> a[i];
sort(a + 1, a + n + 1);
int ans = 1;
rep(i, 0, n) {
C[i][0] = 1;
rep(j, 1, i) C[i][j] = Add(C[i - 1][j - 1], C[i - 1][j]);
}
rep(i, 1, n) {
{
int j = i + 1;
memset(dp, 0, sizeof dp);
dp[0] = 1;
while (j <= n && a[j] <= a[i] + m) add(a[j++] - a[i]);
rep(k, 0, m * (n - v)) add(ans, dp[k]);
rep(k, max(0, v - (n - j + 1)), j - i - 1) sub(ans, C[j - i - 1][k]);
}
{
int j = i - 1;
memset(dp, 0, sizeof dp);
dp[0] = 1;
while (j && a[j] >= a[i] - m) add(a[i] - a[j--]);
rep(k, 0, m * v) add(ans, dp[k]);
rep(k, 0, v - (n - i)) sub(ans, C[i - j - 1][k]);
}
}
cout << ans << "\n";
}
int main() {
ios::sync_with_stdio(0), cin.tie(0);
int T; cin >> T;
while (T--) solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 3340kb
input:
6 3 1 2 1 2 3 3 2 1 1 2 3 10 1 1 0 0 0 0 0 0 0 0 0 0 6 1 2 2 1 1 3 0 2 6 1 5 2 1 1 3 0 2 10 4 8 7 2 3 6 1 6 5 4 6 5
output:
5 6 1023 23 19 240
result:
ok 6 numbers
Test #2:
score: 0
Accepted
time: 2ms
memory: 3508kb
input:
50 2 62 1 67 58 2 23 1 7 39 2 60 1 53 9 2 29 1 3 68 2 52 1 43 76 2 79 1 48 91 2 85 1 18 11 2 34 1 19 24 2 42 1 77 44 2 54 1 80 49 2 90 1 61 55 2 24 1 51 72 2 8 1 9 8 2 83 1 91 0 2 33 1 27 27 2 30 1 8 99 2 52 1 34 87 2 51 1 13 47 2 16 1 0 27 2 63 1 53 76 2 25 1 82 36 2 42 1 53 54 2 12 1 38 70 2 2 1 6...
output:
3 2 3 2 3 3 3 3 3 3 3 3 3 2 3 2 2 3 2 3 2 3 2 2 2 3 3 2 3 3 3 2 2 2 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3
result:
ok 50 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 3428kb
input:
40 2 20 1 36 90 4 4 3 38 52 64 63 2 89 1 46 65 2 2 1 83 1 3 17 2 19 20 10 2 61 1 33 17 2 91 1 92 59 2 98 1 4 35 2 30 1 66 51 2 4 1 44 16 2 46 1 80 99 3 11 2 80 59 29 3 91 1 80 43 81 2 93 1 74 57 2 78 1 30 77 3 84 1 70 12 29 2 74 1 88 78 3 58 1 22 100 13 3 40 2 79 18 84 4 99 1 32 73 81 73 2 57 1 83 3...
output:
2 5 3 2 6 3 3 3 3 2 3 3 7 3 3 6 3 4 4 15 3 7 2 4 5 2 3 3 2 2 7 3 2 3 3 15 3 3 2 7
result:
ok 40 numbers
Test #4:
score: 0
Accepted
time: 1ms
memory: 3464kb
input:
30 3 82 1 18 19 77 4 22 1 63 42 11 42 2 60 1 25 90 3 87 2 21 47 5 2 50 1 88 81 4 71 1 63 29 19 68 6 69 3 13 4 71 96 73 39 3 83 2 29 88 28 2 56 1 84 20 2 43 1 8 29 2 48 1 43 9 3 88 1 12 88 58 6 42 4 16 33 47 70 66 42 7 71 1 95 96 18 92 9 20 4 3 11 1 64 46 83 2 7 1 72 49 2 35 1 15 24 3 50 2 82 22 48 4...
output:
6 7 2 7 3 12 39 7 2 3 3 6 38 22 3 2 3 5 6 7 7 3 18 2 55 3 4 3 7 7
result:
ok 30 numbers
Test #5:
score: 0
Accepted
time: 2ms
memory: 3484kb
input:
20 7 41 6 9 17 92 61 58 10 96 2 97 1 84 29 2 83 1 52 65 4 28 3 28 81 53 74 9 69 5 10 80 90 1 91 21 81 96 60 3 66 1 21 9 24 7 88 6 34 21 5 100 51 68 88 2 49 1 62 7 2 6 1 10 1 6 21 1 54 0 16 8 61 16 3 22 2 10 13 75 5 20 1 77 4 16 16 38 5 26 4 31 14 85 69 20 3 31 2 36 58 78 11 39 6 47 7 79 15 34 99 29 ...
output:
20 3 3 8 91 7 43 2 2 15 4 9 10 5 117 3 82 15 545 7
result:
ok 20 numbers
Test #6:
score: 0
Accepted
time: 4ms
memory: 3448kb
input:
10 6 32 4 3 64 60 50 71 92 5 17 3 34 22 90 94 35 46 34 44 33 32 55 85 54 4 8 56 87 90 86 88 6 76 12 76 31 80 58 70 99 92 13 59 82 20 25 97 29 64 16 39 57 40 19 17 48 86 6 60 89 99 71 83 95 6 3 62 1 60 0 96 11 85 7 79 92 34 24 79 36 75 89 78 60 5 3 91 2 55 18 29 12 41 5 75 4 81 73 71 93 50 10 43 55 6...
output:
24 10 85407 5 1426 7 647 2 6 19
result:
ok 10 numbers
Test #7:
score: 0
Accepted
time: 4ms
memory: 3472kb
input:
5 40 23 31 75 10 19 30 90 96 40 84 96 20 44 61 24 46 39 56 1 73 54 83 85 3 13 14 45 46 39 99 91 99 48 89 28 75 62 5 24 51 61 11 16 62 2 96 5 95 8 67 28 36 20 20 48 89 64 11 50 56 38 15 53 7 43 10 69 97 98 99 38 88 78 74 57 69 0 78 61 27 67 6 74 37 76 8 74 42 76 6 68 94 49 55 10 28 35 25 17 41 65 85 ...
output:
26111 2098 2839 2739716 3
result:
ok 5 number(s): "26111 2098 2839 2739716 3"
Test #8:
score: 0
Accepted
time: 1ms
memory: 3356kb
input:
4 17 100 14 65 87 80 62 80 85 47 14 13 23 91 39 5 82 59 28 46 14 83 8 46 14 88 24 70 57 14 6 63 18 98 68 20 10 40 94 16 91 33 82 64 50 16 2 64 39 76 75 35 20 0 53 14 74 2 44 83 51 67 97 93 61 77 56 12 29 95 77 7 78 46 85 76 76 38 22 94 29 3 5 27 14 12 21 45 42 2 41 92 27 54 46 15 73 38 99 68 96 79 1...
output:
40145 8703 880766959 64
result:
ok 4 number(s): "40145 8703 880766959 64"
Test #9:
score: -100
Wrong Answer
time: 8ms
memory: 3480kb
input:
3 64 81 26 6 35 9 39 70 29 91 9 54 21 83 73 10 93 96 40 50 92 88 87 71 70 22 45 4 23 18 10 88 71 73 5 49 67 12 28 8 61 73 19 27 89 64 65 94 93 87 61 40 4 37 66 72 100 54 33 80 40 26 46 85 59 1 50 26 6 12 56 37 5 5 3 67 52 53 77 55 39 89 86 55 78 34 83 78 75 51 9 43 2 18 86 14 10 89 1 10 41 16 63 14 ...
output:
183539289 139 230
result:
wrong answer 1st numbers differ - expected: '923730397', found: '183539289'