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#621112#6408. Classical Counting ProblemciuimAC ✓465ms13044kbC++142.5kb2024-10-08 09:21:232024-10-08 09:21:23

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你现在查看的是最新测评结果

  • [2024-10-08 09:21:23]
  • 评测
  • 测评结果：AC
  • 用时：465ms
  • 内存：13044kb
查看
  • [2024-10-08 09:21:23]
  • 提交

answer

bool M1;
#define look_memory cerr<<abs(&M2-&M1)/1024.0/1024<<" MB\n"
#define look_time cerr<<(clock()-Time)*1.0/CLOCKS_PER_SEC<<'\n'
#include <cstdio>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <cstring>
#include <array>
#include <algorithm>
#include <queue>
#include <vector>
#include <bitset>
#include <ctime>
#include <cstdlib>
#include <random>
#include <set>
#include <ctime>
#include <map>
#include <stack>
#include <unordered_map>
#include <assert.h>
#define i128 __int128
#define ll long long
#define uint unsigned
#define ull unsigned long long
#define ld long double
#define fo(a,b,c) for(ll a=b;a<=c;++a)
#define re(a,b,c) for(ll a=b;a>=c;--a)
#define pii pair<ll,ll>
#define pdd pair<db,db>
#define fi first
#define pb push_back
#define se second
#define ite set<pii> ::iterator
#define vite vector<ll> ::iterator
using namespace std;
const ll mod=998244353;
inline ll gi()
{
	ll x = 0, f = 1;
	char ch = getchar();
	while(ch < '0' || ch > '9')
	{
		if (ch == '-')
			f = -1;
		ch = getchar();
	}
	while(ch >= '0' && ch <= '9')
	{
		x = (x<<1) + (x<<3) + (ch^48);
		ch = getchar();
	}
	return x * f;
}
ll _=1;
const ll inf=2e17+5,iinf=5e9;
const ll N=105;
ll dp[N][N*N],n,m,v,a[N];
void add(ll &x,ll y)
{
	if((x+=y)>=mod) x-=mod;
}
void ins(ll x)
{
	re(i,n,1)
	{
		fo(j,0,10000)
		{
			if(j>=x) add(dp[i][j],dp[i-1][j-x]);
		}
	}
}
void del(ll x)
{
	fo(i,1,n)
	{
		fo(j,0,10000)
		{
			if(j>=x) add(dp[i][j],mod-dp[i-1][j-x]);
		}
	}
}
ll wk1()
{
	ll ans=0;
	memset(dp,0,sizeof(dp));
	dp[0][0]=1;
	ll l=n-1;
	re(r,n,1)
	{
		if(r!=n) del(a[r]);
		while(a[r]-a[l]<=m&&l>=1)
		{
			ins(a[l]);
			l--;
		}
		fo(sz,max(0ll,v-(n-r)),n)
		{
			fo(s,max(0ll,sz*a[r]-v*m),10000)
			{
				add(ans,dp[sz][s]);
			}
		}
//		cout<<"TEST "<<r<<" "<<ans<<'\n';
	}
	return ans;
}
ll wk2()
{
	ll ans=0;
	memset(dp,0,sizeof(dp));
	dp[0][0]=1;
	ll r=2;
	fo(l,1,n)
	{
		if(l!=1) del(a[l]);
		while(a[r]-a[l]<=m&&r<=n)
		{
			ins(a[r]);
			r++;
		}
		fo(sz,max(0ll,n+1-v-(l-1)),n)
		{
			fo(s,0,min(10000ll,(n-v)*m+sz*a[l]))
			{
				add(ans,dp[sz][s]);
			}
		}
	}
	return ans;
}
void sol()
{
	n=gi(),m=gi(),v=gi();
	fo(i,1,n) a[i]=gi();
	sort(a+1,a+1+n);
	ll ans=wk1();
//	cout<<ans<<'\n';
	add(ans,wk2());
//	cout<<ans;
	ans++;
	ans%=mod;
	cout<<ans;
}
bool M2;
int main()
{
	int Time=clock();
	look_memory;
	_=gi();
	while(_--)
	{
		sol();
		printf("\n");
	}
	look_time;
	return 0;
}
源文件, 语言: C++14

详细

Test #1:

score: 100
Accepted
time: 13ms
memory: 13004kb

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: 34ms
memory: 13008kb

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: 34ms
memory: 13008kb

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: 33ms
memory: 12940kb

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: 37ms
memory: 12976kb

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: 101ms
memory: 12888kb

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: 118ms
memory: 12992kb

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: 126ms
memory: 13044kb

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: 222ms
memory: 12944kb

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: 207ms
memory: 13012kb

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: 453ms
memory: 12880kb

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: 427ms
memory: 13004kb

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: 446ms
memory: 12876kb

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: 453ms
memory: 13012kb

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: 465ms
memory: 13008kb

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: 418ms
memory: 13044kb

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: 391ms
memory: 12956kb

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: 449ms
memory: 13044kb

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: 435ms
memory: 13012kb

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: 435ms
memory: 12936kb

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: 397ms
memory: 12876kb

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: 382ms
memory: 12872kb

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: 439ms
memory: 13012kb

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: 410ms
memory: 12872kb

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: 418ms
memory: 13008kb

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: 412ms
memory: 12888kb

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: 417ms
memory: 12932kb

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: 399ms
memory: 12984kb

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"
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服务器时间: 2024-12-02 19:32:16 | 开源项目