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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#563741#4798. Floor Tiles in a ParkHarry27182AC ✓1ms3768kbC++142.2kb2024-09-14 15:36:012024-09-14 15:36:03

Judging History

你现在查看的是最新测评结果

  • [2024-09-14 15:36:03]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3768kb
  • [2024-09-14 15:36:01]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
int fa[105],a[105][105],b[105][105],inv[105],n,m,k,id[105][105],ans,u[105],d[105],l[105],r[105];
const int mod=998244353;
void Add(int &x,int y){x=(x+y>=mod?x+y-mod:x+y);}
int find(int x){return (x==fa[x]?x:fa[x]=find(fa[x]));}
void merge(int x,int y)
{
	x=find(x);y=find(y);
	if(x==y)return;fa[y]=x;
}
int C(int x,int y)
{
	if(x<y)return 0;
	int ans=1;
	for(int i=x;i>=x-y+1;i--)ans=1ll*ans*i%mod;
	for(int i=1;i<=y;i++)ans=1ll*ans*inv[i]%mod;
	return ans;
}
int solve(int x,int y)
{
	int res=0;
	for(int s=0;s<(1<<((x-1)*y+(y-1)*x));s++)
	{
		int tot=0,ok=1;
		for(int i=1;i<x;i++)
		{
			int flag=0;
			for(int j=1;j<=y;j++)
			{
				a[i][j]=(s>>tot)&1;tot++;
				flag|=a[i][j];
			}
			if(!flag){ok=0;break;}
		}
		if(!ok)continue;
		for(int i=1;i<y;i++)
		{
			int flag=0;
			for(int j=1;j<=x;j++)
			{
				b[j][i]=(s>>tot)&1;tot++;
				flag|=b[j][i];
			}
			if(!flag){ok=0;break;}
		}
		if(!ok)continue;
		int cnt=0;
		for(int i=1;i<=x;i++)
		{
			for(int j=1;j<=y;j++)id[i][j]=++cnt,fa[cnt]=cnt;
		}
		for(int i=1;i<x;i++)
		{
			for(int j=1;j<=y;j++)if(!a[i][j])merge(id[i][j],id[i+1][j]);
		}
		for(int j=1;j<y;j++)
		{
			for(int i=1;i<=x;i++)if(!b[i][j])merge(id[i][j],id[i][j+1]);
		}
		int num=0;
		for(int i=1;i<=cnt;i++)if(find(i)==i)num++;
		if(num!=k)continue;
		for(int i=1;i<=cnt;i++)u[i]=l[i]=0x3f3f3f3f,d[i]=r[i]=0;
		for(int i=1;i<=x;i++)
		{
			for(int j=1;j<=y;j++)
			{
				int p=find(id[i][j]);
				l[p]=min(l[p],i);r[p]=max(r[p],i);
				u[p]=min(u[p],j);d[p]=max(d[p],j);
			}
		}
		int sum=0;
		for(int i=1;i<=cnt;i++)
		{
			if(find(i)==i)
			{
				sum+=(r[i]-l[i]+1)*(d[i]-u[i]+1);
				for(int j=l[i];j<r[i];j++)
				{
					for(int k=u[i];k<=d[i];k++)ok&=(!a[j][k]);
				}
				for(int j=l[i];j<=r[i];j++)
				{
					for(int k=u[i];k<d[i];k++)ok&=(!b[j][k]);
				}
			}
		}
		if(sum==x*y&&num==k&&ok)res++;
	}
	return res;
}
int main()
{
	cin.tie(0)->sync_with_stdio(0);
	cin>>n>>m>>k;inv[1]=1;
	for(int i=2;i<=100;i++)inv[i]=1ll*inv[mod%i]*(mod-mod/i)%mod;
	for(int i=1;i<=min(k+1,n);i++)
	{
		for(int j=1;i+j<=k+1&&j<=m;j++)Add(ans,1ll*solve(i,j)*C(n-1,i-1)%mod*C(m-1,j-1)%mod);
	}
	cout<<ans;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3756kb

input:

2 3 5

output:

7

result:

ok 1 number(s): "7"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

4 3 5

output:

307

result:

ok 1 number(s): "307"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

6 372065168 5

output:

114514

result:

ok 1 number(s): "114514"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

6 7 3

output:

145

result:

ok 1 number(s): "145"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

4 8 2

output:

10

result:

ok 1 number(s): "10"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

7 5 4

output:

1104

result:

ok 1 number(s): "1104"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

8 6 1

output:

1

result:

ok 1 number(s): "1"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

8 2 5

output:

1092

result:

ok 1 number(s): "1092"

Test #9:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

2 7 4

output:

191

result:

ok 1 number(s): "191"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

6 6 4

output:

1145

result:

ok 1 number(s): "1145"

Test #11:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

1 5 5

output:

1

result:

ok 1 number(s): "1"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

5 1 5

output:

1

result:

ok 1 number(s): "1"

Test #13:

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

input:

1 4 4

output:

1

result:

ok 1 number(s): "1"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

2 2 4

output:

1

result:

ok 1 number(s): "1"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3756kb

input:

4 1 4

output:

1

result:

ok 1 number(s): "1"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

1 3 3

output:

1

result:

ok 1 number(s): "1"

Test #17:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

2 2 3

output:

4

result:

ok 1 number(s): "4"

Test #18:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

3 1 3

output:

1

result:

ok 1 number(s): "1"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

1 2 2

output:

1

result:

ok 1 number(s): "1"

Test #20:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

2 1 2

output:

1

result:

ok 1 number(s): "1"

Test #21:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

2 2 2

output:

2

result:

ok 1 number(s): "2"

Test #22:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

1 1 1

output:

1

result:

ok 1 number(s): "1"

Test #23:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

1 2 1

output:

1

result:

ok 1 number(s): "1"

Test #24:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

2 1 1

output:

1

result:

ok 1 number(s): "1"

Test #25:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

1000000000 1000000000 5

output:

709563207

result:

ok 1 number(s): "709563207"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

1000000000 1000000000 4

output:

966434087

result:

ok 1 number(s): "966434087"

Test #27:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

1000000000 1000000000 3

output:

566309320

result:

ok 1 number(s): "566309320"

Test #28:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

1000000000 1000000000 2

output:

3511292

result:

ok 1 number(s): "3511292"

Test #29:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

1000000000 1000000000 1

output:

1

result:

ok 1 number(s): "1"

Test #30:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

1 1000000000 5

output:

206661581

result:

ok 1 number(s): "206661581"

Test #31:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

1000000000 1 5

output:

206661581

result:

ok 1 number(s): "206661581"

Test #32:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

1 1000000000 4

output:

243529510

result:

ok 1 number(s): "243529510"

Test #33:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

1000000000 1 4

output:

243529510

result:

ok 1 number(s): "243529510"

Test #34:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

1 1000000000 3

output:

854524156

result:

ok 1 number(s): "854524156"

Test #35:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

1000000000 1 3

output:

854524156

result:

ok 1 number(s): "854524156"

Test #36:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

1 1000000000 2

output:

1755646

result:

ok 1 number(s): "1755646"

Test #37:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

1000000000 1 2

output:

1755646

result:

ok 1 number(s): "1755646"

Test #38:

score: 0
Accepted
time: 0ms
memory: 3752kb

input:

1 1000000000 1

output:

1

result:

ok 1 number(s): "1"

Test #39:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

1000000000 1 1

output:

1

result:

ok 1 number(s): "1"

Test #40:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

998244353 998244353 5

output:

104

result:

ok 1 number(s): "104"

Test #41:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

998244353 998244353 2

output:

998244351

result:

ok 1 number(s): "998244351"

Test #42:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

998244353 998244353 3

output:

6

result:

ok 1 number(s): "6"

Test #43:

score: 0
Accepted
time: 0ms
memory: 3760kb

input:

998244353 998244353 4

output:

998244330

result:

ok 1 number(s): "998244330"

Test #44:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

998244353 998244353 1

output:

1

result:

ok 1 number(s): "1"

Test #45:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

167959139 481199252 5

output:

636943179

result:

ok 1 number(s): "636943179"

Test #46:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

641009859 54748096 4

output:

21254172

result:

ok 1 number(s): "21254172"

Test #47:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

524125987 923264237 5

output:

806978440

result:

ok 1 number(s): "806978440"

Test #48:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

702209411 496813081 4

output:

567318593

result:

ok 1 number(s): "567318593"

Test #49:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

585325539 365329221 5

output:

135702788

result:

ok 1 number(s): "135702788"

Test #50:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

58376259 643910770 4

output:

906285669

result:

ok 1 number(s): "906285669"

Test #51:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

941492387 72235422 3

output:

984446484

result:

ok 1 number(s): "984446484"

Test #52:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

824608515 940751563 4

output:

714960410

result:

ok 1 number(s): "714960410"

Test #53:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

2691939 514300407 2

output:

516992344

result:

ok 1 number(s): "516992344"

Test #54:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

802030518 598196518 2

output:

401982681

result:

ok 1 number(s): "401982681"

Test #55:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

685146646 26521171 5

output:

359577836

result:

ok 1 number(s): "359577836"

Test #56:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

863230070 895037311 4

output:

615300281

result:

ok 1 number(s): "615300281"

Test #57:

score: 0
Accepted
time: 1ms
memory: 3628kb

input:

41313494 468586155 5

output:

965938269

result:

ok 1 number(s): "965938269"

Test #58:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

219396918 747167704 4

output:

53928649

result:

ok 1 number(s): "53928649"

Test #59:

score: 0
Accepted
time: 1ms
memory: 3756kb

input:

102513046 615683844 5

output:

875740368

result:

ok 1 number(s): "875740368"

Test #60:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

985629174 189232688 4

output:

219741272

result:

ok 1 number(s): "219741272"

Test #61:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

458679894 912524637 5

output:

941073341

result:

ok 1 number(s): "941073341"

Test #62:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

341796022 486073481 5

output:

845467585

result:

ok 1 number(s): "845467585"

Test #63:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

519879446 764655030 4

output:

706045468

result:

ok 1 number(s): "706045468"

Test #64:

score: 0
Accepted
time: 1ms
memory: 3756kb

input:

452405440 586588704 5

output:

335640429

result:

ok 1 number(s): "335640429"

Test #65:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

335521569 160137548 4

output:

951724102

result:

ok 1 number(s): "951724102"

Test #66:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

808572289 733686393 4

output:

619610341

result:

ok 1 number(s): "619610341"

Test #67:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

691688417 162011045 5

output:

616539456

result:

ok 1 number(s): "616539456"

Test #68:

score: 0
Accepted
time: 1ms
memory: 3708kb

input:

869771841 30527185 5

output:

763472087

result:

ok 1 number(s): "763472087"

Test #69:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

752887969 604076030 4

output:

483504483

result:

ok 1 number(s): "483504483"

Test #70:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

930971393 177624874 4

output:

921062862

result:

ok 1 number(s): "921062862"

Test #71:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

109054817 751173719 5

output:

84946027

result:

ok 1 number(s): "84946027"

Test #72:

score: 0
Accepted
time: 0ms
memory: 3628kb

input:

992170945 324722563 3

output:

386957789

result:

ok 1 number(s): "386957789"

Test #73:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

170254369 48014511 4

output:

848817111

result:

ok 1 number(s): "848817111"

Test #74:

score: 0
Accepted
time: 0ms
memory: 3676kb

input:

248004555 280013594 3

output:

784895115

result:

ok 1 number(s): "784895115"

Test #75:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

131120683 148529734 5

output:

652027866

result:

ok 1 number(s): "652027866"

Test #76:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

604171403 722078578 5

output:

912747535

result:

ok 1 number(s): "912747535"

Test #77:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

487287531 295627423 5

output:

642940101

result:

ok 1 number(s): "642940101"

Test #78:

score: 0
Accepted
time: 0ms
memory: 3704kb

input:

665370955 18919371 3

output:

799728148

result:

ok 1 number(s): "799728148"

Test #79:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

843454379 297500920 4

output:

732179859

result:

ok 1 number(s): "732179859"

Test #80:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

21537803 166017060 4

output:

546398482

result:

ok 1 number(s): "546398482"

Test #81:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

904653932 739565904 5

output:

24413120

result:

ok 1 number(s): "24413120"

Test #82:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

787770060 313114749 5

output:

299104715

result:

ok 1 number(s): "299104715"

Test #83:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

260820780 181630889 5

output:

929524647

result:

ok 1 number(s): "929524647"

Test #84:

score: 0
Accepted
time: 0ms
memory: 3708kb

input:

43603670 268405779 5

output:

811242775

result:

ok 1 number(s): "811242775"

Test #85:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

221687094 136921920 5

output:

381700361

result:

ok 1 number(s): "381700361"

Test #86:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

399770518 710470764 5

output:

13710244

result:

ok 1 number(s): "13710244"

Test #87:

score: 0
Accepted
time: 1ms
memory: 3632kb

input:

282886646 284019609 5

output:

186074064

result:

ok 1 number(s): "186074064"

Test #88:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

460970070 857568453 5

output:

871930088

result:

ok 1 number(s): "871930088"

Test #89:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

639053494 285893105 5

output:

381113127

result:

ok 1 number(s): "381113127"

Test #90:

score: 0
Accepted
time: 1ms
memory: 3752kb

input:

817136918 154409246 5

output:

904298071

result:

ok 1 number(s): "904298071"

Test #91:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

700253046 727958090 5

output:

722840722

result:

ok 1 number(s): "722840722"

Test #92:

score: 0
Accepted
time: 1ms
memory: 3704kb

input:

583369174 301506934 5

output:

4601844

result:

ok 1 number(s): "4601844"

Test #93:

score: 0
Accepted
time: 1ms
memory: 3624kb

input:

56419894 875055779 5

output:

396259549

result:

ok 1 number(s): "396259549"

Test #94:

score: 0
Accepted
time: 1ms
memory: 3692kb

input:

134170081 256797965 5

output:

976322422

result:

ok 1 number(s): "976322422"

Test #95:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

998244354 998244354 2

output:

0

result:

ok 1 number(s): "0"

Test #96:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

5 5 5

output:

3474

result:

ok 1 number(s): "3474"