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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#563741 | #4798. Floor Tiles in a Park | Harry27182 | AC ✓ | 1ms | 3768kb | C++14 | 2.2kb | 2024-09-14 15:36:01 | 2024-09-14 15:36:03 |
Judging History
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;
}
详细
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"