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#560980#6408. Classical Counting ProblemY2y7m#AC ✓35ms198340kbC++141.2kb2024-09-12 19:17:302024-09-12 19:17:34

Judging History

你现在查看的是最新测评结果

  • [2024-09-12 19:17:34]
  • 评测
  • 测评结果:AC
  • 用时:35ms
  • 内存:198340kb
  • [2024-09-12 19:17:30]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
#define int long long
const int maxn=110,mod=998244353;
int n,m,v;
int a[maxn];
int f[maxn][maxn][maxn*maxn];
void chkmod(int &x,int y)
{
	x=(x+y)%mod;
}
void sol()
{
	cin>>n>>m>>v;
	for(int i=1;i<=n;i++) cin>>a[i];
	if(v>n/2)
	{
		v=n-v;
		sort(a+1,a+1+n);
		int ans=0;
		for(int i=1;i<=n;i++)
		{
			f[i][i][0]=1;
			for(int j=i+1;j<=n;j++)
			{
				for(int k=0;k<=m*v;k++)
				{
					f[i][j][k]=0;
					if(k>=a[j]-a[i]&&a[j]-a[i]<=m) f[i][j][k]=f[i][j-1][k-(a[j]-a[i])];
					f[i][j][k]+=f[i][j-1][k];
					f[i][j][k]%=mod;
				}
			}
			for(int k=0;k<=m*v;k++) ans=(ans+f[i][n][k])%mod;
		}
		cout<<ans<<endl;
		return ;
	}
	sort(a+1,a+1+n,greater<int>());
	int ans=0;
	for(int i=1;i<=n;i++)
	{
		f[i][i][0]=1;
		for(int j=i+1;j<=n;j++)
		{
			
			for(int k=0;k<=m*v;k++)
			{
				f[i][j][k]=0;
				if(k>=a[i]-a[j]&&a[i]-a[j]<=m) f[i][j][k]=f[i][j-1][k-(a[i]-a[j])];
				f[i][j][k]+=f[i][j-1][k];
				f[i][j][k]%=mod;
			}
		}
		for(int k=0;k<=m*v;k++) ans=(ans+f[i][n][k])%mod;
	}
	cout<<ans<<endl;
}

signed main()
{
	//freopen("test.in","r",stdin);
	ios::sync_with_stdio(false);
	int T;
	cin>>T;
	while(T--)
	{
		sol();
	}
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 26104kb

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: 1ms
memory: 7728kb

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: 2ms
memory: 11816kb

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: 0ms
memory: 20020kb

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: 1ms
memory: 8036kb

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: 3ms
memory: 12520kb

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: 0ms
memory: 28288kb

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: 3ms
memory: 18008kb

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: 0
Accepted
time: 9ms
memory: 45096kb

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:

923730397
139
230

result:

ok 3 number(s): "923730397 139 230"

Test #10:

score: 0
Accepted
time: 3ms
memory: 28924kb

input:

2
56 3 30
67 80 38 54 30 78 45 29 61 28 97 77 43 38 37 75 54 84 81 32 16 63 2 90 34 95 54 88 2 44 23 37 87 20 78 71 66 4 21 52 99 15 94 4 66 37 41 100 88 26 76 10 16 36 32 63
44 49 2
24 0 0 33 9 3 41 39 91 46 13 12 43 11 68 28 0 31 16 73 21 22 72 53 79 65 92 80 26 62 93 97 48 90 77 11 4 54 19 21 89 ...

output:

267
343867

result:

ok 2 number(s): "267 343867"

Test #11:

score: 0
Accepted
time: 16ms
memory: 73964kb

input:

1
100 97 9
57 74 56 14 12 8 50 94 81 32 50 70 75 66 44 40 51 71 90 59 66 8 81 31 36 7 81 44 53 85 43 45 49 37 63 56 71 20 81 83 71 51 3 78 47 28 13 41 50 32 23 82 52 32 1 83 63 7 97 78 6 71 88 2 98 14 29 83 74 71 81 96 89 30 48 5 64 74 63 74 96 12 2 36 26 75 7 44 66 93 82 31 13 86 5 96 8 10 71 70

output:

421427517

result:

ok 1 number(s): "421427517"

Test #12:

score: 0
Accepted
time: 12ms
memory: 92840kb

input:

1
100 21 58
67 6 11 89 1 59 8 18 80 33 58 27 5 65 73 17 35 15 31 81 18 12 56 9 49 72 74 74 98 25 68 96 10 75 22 48 43 50 9 38 13 38 82 21 37 66 21 86 83 89 0 73 84 39 77 30 66 26 25 89 14 22 71 75 51 70 41 43 12 70 4 25 20 71 62 1 47 79 66 87 87 95 74 63 97 21 83 28 52 90 90 44 34 55 67 69 90 20 62 66

output:

879050745

result:

ok 1 number(s): "879050745"

Test #13:

score: 0
Accepted
time: 3ms
memory: 70004kb

input:

1
100 49 5
41 64 55 30 13 20 100 9 12 45 33 28 25 64 81 71 19 36 83 14 72 16 99 44 95 12 23 3 18 89 49 80 15 23 59 7 16 79 13 61 67 57 60 31 94 3 86 54 80 0 99 74 47 80 64 78 23 56 64 78 55 85 75 59 61 57 53 38 72 70 61 76 7 77 52 30 41 28 1 55 9 77 33 79 56 67 92 46 6 20 29 13 88 47 5 9 83 86 75 19

output:

778551245

result:

ok 1 number(s): "778551245"

Test #14:

score: 0
Accepted
time: 32ms
memory: 198340kb

input:

1
100 73 50
62 54 10 15 91 71 92 68 12 56 77 86 56 74 77 82 71 91 57 48 24 88 41 90 40 8 50 33 96 97 74 30 77 28 52 100 90 98 75 6 53 44 26 75 84 74 94 99 45 80 42 75 10 87 75 93 59 18 24 21 31 47 46 31 70 34 76 33 10 36 51 60 95 51 99 25 25 78 14 57 100 92 72 95 25 81 0 97 94 50 80 48 8 38 77 39 97...

output:

966167597

result:

ok 1 number(s): "966167597"

Test #15:

score: 0
Accepted
time: 0ms
memory: 98356kb

input:

1
100 97 8
72 76 65 90 46 54 39 59 11 35 74 88 76 73 6 35 55 68 99 71 66 93 16 69 54 73 100 31 74 26 66 81 37 9 44 24 95 60 47 29 6 41 4 96 40 44 69 66 78 70 40 99 74 94 51 73 51 37 64 10 72 42 17 71 23 22 88 39 71 24 7 11 83 24 78 21 8 16 50 92 23 74 43 89 85 59 87 3 81 48 87 50 29 7 37 13 21 93 90...

output:

578242220

result:

ok 1 number(s): "578242220"

Test #16:

score: 0
Accepted
time: 12ms
memory: 106088kb

input:

1
100 21 50
24 66 9 30 59 72 31 84 0 36 49 78 96 72 13 45 7 23 39 36 87 75 92 36 100 13 93 61 62 68 47 32 31 48 37 95 35 89 8 86 82 61 83 39 30 49 77 78 76 49 84 67 4 34 27 20 76 0 92 21 80 71 32 22 33 9 10 67 9 24 53 74 13 98 57 50 35 33 52 59 13 23 3 37 44 5 63 20 35 89 27 19 39 31 8 87 2 91 3 44

output:

474759161

result:

ok 1 number(s): "474759161"

Test #17:

score: 0
Accepted
time: 0ms
memory: 66888kb

input:

1
100 49 99
34 100 64 15 47 22 90 75 100 47 25 79 26 3 43 99 2 68 24 70 39 79 34 82 45 10 87 80 6 98 4 15 3 64 63 87 97 40 80 30 35 47 49 17 54 19 85 79 29 60 61 90 24 30 70 67 44 63 30 43 20 66 3 95 43 98 22 62 81 91 9 57 0 3 71 46 18 83 99 72 36 48 42 20 14 18 39 38 22 87 67 21 60 0 70 95 84 0 95 40

output:

3181458

result:

ok 1 number(s): "3181458"

Test #18:

score: 0
Accepted
time: 35ms
memory: 178832kb

input:

1
100 73 46
54 89 87 57 92 73 49 33 32 59 33 36 46 2 50 8 87 56 65 60 13 50 77 28 58 40 69 10 95 39 97 66 65 34 56 46 2 70 52 54 89 67 27 60 77 90 49 90 95 6 59 59 88 70 46 14 69 82 58 55 61 17 76 67 53 86 34 57 8 22 99 8 89 45 62 75 1 21 33 6 16 30 13 47 74 98 47 56 88 49 85 56 49 60 41 69 76 66 86...

output:

353900212

result:

ok 1 number(s): "353900212"

Test #19:

score: 0
Accepted
time: 8ms
memory: 94692kb

input:

1
100 98 91
64 11 31 31 37 23 40 57 32 38 8 38 77 12 47 30 38 10 39 94 67 54 63 74 36 15 62 7 72 69 22 50 58 50 48 38 75 99 46 99 64 86 27 71 0 95 57 91 60 29 2 82 51 78 33 95 61 11 63 66 36 80 80 51 6 40 24 52 79 90 22 60 8 51 41 3 96 71 69 75 6 45 74 63 0 11 23 73 75 47 24 25 70 95 12 42 57 42 99 45

output:

991832540

result:

ok 1 number(s): "991832540"

Test #20:

score: 0
Accepted
time: 32ms
memory: 144984kb

input:

1
100 64 65
80 91 56 8 83 44 39 75 86 39 83 29 32 56 6 44 84 43 6 19 97 94 20 48 69 59 15 79 30 89 98 63 87 95 49 50 53 19 70 16 47 93 78 67 100 59 51 81 82 61 5 62 96 89 33 40 38 19 78 8 7 38 77 55 31 78 27 3 53 20 63 95 38 93 72 12 41 59 38 96 68 47 17 81 14 56 54 83 40 75 9 7 96 55 77 51 48 25 1 78

output:

267899508

result:

ok 1 number(s): "267899508"

Test #21:

score: 0
Accepted
time: 0ms
memory: 68852kb

input:

1
100 100 99
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100...

output:

436278057

result:

ok 1 number(s): "436278057"

Test #22:

score: 0
Accepted
time: 0ms
memory: 65180kb

input:

1
100 1 99
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 1...

output:

131961966

result:

ok 1 number(s): "131961966"

Test #23:

score: 0
Accepted
time: 0ms
memory: 62832kb

input:

1
100 100 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 ...

output:

436278057

result:

ok 1 number(s): "436278057"

Test #24:

score: 0
Accepted
time: 3ms
memory: 65208kb

input:

1
100 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 10...

output:

131961966

result:

ok 1 number(s): "131961966"

Test #25:

score: 0
Accepted
time: 4ms
memory: 68752kb

input:

1
100 100 99
100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100...

output:

882499717

result:

ok 1 number(s): "882499717"

Test #26:

score: 0
Accepted
time: 0ms
memory: 65252kb

input:

1
100 1 99
100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 1...

output:

882499717

result:

ok 1 number(s): "882499717"

Test #27:

score: 0
Accepted
time: 4ms
memory: 68768kb

input:

1
100 100 1
100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 ...

output:

882499717

result:

ok 1 number(s): "882499717"

Test #28:

score: 0
Accepted
time: 0ms
memory: 59328kb

input:

1
100 1 1
100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 10...

output:

882499717

result:

ok 1 number(s): "882499717"