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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#130407 | #6644. Red Black Grid | RobeZH# | AC ✓ | 48ms | 7452kb | C++23 | 2.8kb | 2023-07-24 01:34:23 | 2023-07-24 01:34:25 |
Judging History
answer
#include<bits/stdc++.h>
#define rep(i,n) for(int i=1;i<=n;++i)
#define eb emplace_back
#define st first
#define nd second
using namespace std;
using ll=long long;
using ld=long double;
using i128=__int128;
using pii=pair<int,int>;
const ld eps=1e-12;
const int N=1e3+5,mod=1e9+7;
const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};
int T,n,c,a[N][N];
int diff(int x,int y){
int tot=0,now=0;
for(int k=0;k<4;++k){
int tx=x+dx[k],ty=y+dy[k];
if(tx<=0||n<tx||ty<=0||n<ty)continue;
++tot;
now+=a[tx][ty]!=a[x][y];
}
return (tot-now)-now;
}
void pri(){
rep(i,n){
rep(j,n)cout<<(a[i][j]?'B':'R');
cout<<"\n";
}
}
bool check(){
int lin=c/n;
c%=n;
if(lin>=n-1){
for(int j=2;j<=n;j+=2){
rep(i,n)a[i][j]=a[i][j-1]^1;
}
lin-=n-1;
for(int i=n-lin+1;i<=n;i+=2)
rep(j,n)a[i][j]=a[i-1][j]^1;
// pri();
for(int j=n;j;--j){
if(c==0)break;
if(j==1&&c==1){
if(n-lin+1==3)return 0;
c-=diff(2,j);
a[2][j]^=1;
}
int change=diff(1,j);
// cout<<change<<"\n";
if(change>c)return 0;
c-=change;
a[1][j]^=1;
}
// cout<<c<<"\n";
if(c!=0)assert(false);
}else{
for(int i=n-lin+1;i<=n;i+=2)
rep(j,n)a[i][j]=a[i-1][j]^1;
// pri();
if(lin==0){
rep(i,n){
if(c==0)break;
int change=diff(i,1);
// cout<<change<<"\n";
if(change>c)return 0;
c-=change;
a[i][1]^=1;
}
if(c>0)assert(false);
}else{
for(int j=c;j>=1;j-=2){
if(c==0)break;
int change=diff(n-lin,j);
// cout<<change<<"\n";
if(change>c)return 0;
c-=change;
a[n-lin][j]^=1;
}
if(c>0)assert(false);
}
}
return 1;
}
int main(){
// ios_base::sync_with_stdio(false);
// cin.tie(nullptr);
for(cin>>T;T--;){
cin>>n>>c;
rep(i,n)rep(j,n)a[i][j]=0;
if(check()){
cout<<"Possible\n";
pri();
}else{
cout<<"Impossible\n";
}
}
return 0;
}
/*
c:
f(n)=c*sigma(i=1..n)Ctl(i-1)*(c-1)^(i-1)*f(n-i)
f(0)=1
f(n)=sigma(i=1..n)Ctl(i-1)*f(n-i)
a[0]=1
a[1]=c
a[2]=c*(c+c-1)
a[3]=c*2*(c-1)*(c-1)+c*(c-1)*c+c*c*c+c*c*(c-1)
1 1 2 5 14
1 0 0 0 0
1 1
1 2 2
1 3 5 5
14
(n,m)=C(n+m,m)*(n-m+1)/(n+1)
ans=sigma_{i=1..n}(n-1,n-i)*c^i*(c-1)^(i-1)
ans=sigma_{i=1..n}C(n-1+n-i,n-1)*i/n*c^i*(c-1)^(n-i)
(c+c-1)^n=fra[n]*rev[i]*rev[n-i]*c^i*(c-1)^(n-i)
*/
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3472kb
input:
2 3 6 3 1
output:
Possible RBR RBR RBR Impossible
result:
ok correct! (2 test cases)
Test #2:
score: 0
Accepted
time: 48ms
memory: 3484kb
input:
4424 1 0 2 4 2 3 2 2 2 1 2 0 3 12 3 11 3 10 3 9 3 8 3 7 3 6 3 5 3 4 3 3 3 2 3 1 3 0 4 24 4 23 4 22 4 21 4 20 4 19 4 18 4 17 4 16 4 15 4 14 4 13 4 12 4 11 4 10 4 9 4 8 4 7 4 6 4 5 4 4 4 3 4 2 4 1 4 0 5 40 5 39 5 38 5 37 5 36 5 35 5 34 5 33 5 32 5 31 5 30 5 29 5 28 5 27 5 26 5 25 5 24 5 23 5 22 5 21 5...
output:
Possible R Possible RB BR Impossible Possible RB RB Impossible Possible RR RR Possible RBR BRB RBR Impossible Possible RRB RBR BRB Possible RBR RBR BRB Possible BRB BBR RBR Possible RRB RBR RBR Possible RBR RBR RBR Possible RRR RBR BBB Possible RRR BRR BBB Possible RRR RRR BBB Possible BRR RRR RRR I...
result:
ok correct! (4424 test cases)
Test #3:
score: 0
Accepted
time: 16ms
memory: 7380kb
input:
1 1000 0
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #4:
score: 0
Accepted
time: 2ms
memory: 7268kb
input:
1 1000 1
output:
Impossible
result:
ok correct! (1 test case)
Test #5:
score: 0
Accepted
time: 18ms
memory: 7384kb
input:
1 1000 1998000
output:
Possible RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (1 test case)
Test #6:
score: 0
Accepted
time: 1ms
memory: 7340kb
input:
1 1000 1997999
output:
Impossible
result:
ok correct! (1 test case)
Test #7:
score: 0
Accepted
time: 13ms
memory: 7452kb
input:
1 1000 1638091
output:
Possible RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (1 test case)
Test #8:
score: 0
Accepted
time: 21ms
memory: 7360kb
input:
1 1000 726743
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (1 test case)
Test #9:
score: 0
Accepted
time: 16ms
memory: 7388kb
input:
1 1000 1159802
output:
Possible RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB...
result:
ok correct! (1 test case)
Test #10:
score: 0
Accepted
time: 15ms
memory: 7340kb
input:
1 1000 1824691
output:
Possible RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (1 test case)
Test #11:
score: 0
Accepted
time: 22ms
memory: 7452kb
input:
1 1000 1606348
output:
Possible RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (1 test case)
Test #12:
score: 0
Accepted
time: 21ms
memory: 3848kb
input:
100 100 3588 100 16278 100 14222 100 3818 100 16278 100 2672 100 7447 100 5705 100 9385 100 19205 100 16362 100 14175 100 327 100 18201 100 3519 100 14923 100 5358 100 17389 100 8773 100 7611 100 2185 100 3314 100 2358 100 18271 100 9499 100 12584 100 8079 100 16954 100 12620 100 16333 100 7148 100 ...
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (100 test cases)
Test #13:
score: 0
Accepted
time: 20ms
memory: 6392kb
input:
10 280 56983 468 47999 111 964 346 192134 60 3108 348 98521 421 57292 24 310 29 1080 484 17366
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRR...
result:
ok correct! (10 test cases)
Test #14:
score: 0
Accepted
time: 18ms
memory: 7312kb
input:
13 44 3612 468 9437 171 34192 174 33316 121 15295 249 1231 84 9464 170 56598 358 183525 369 42656 29 595 226 74474 296 34671
output:
Possible RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRRBRBR RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB RBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRB BRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBRBR RBRBRBRBRBRBRBRBRBRBR...
result:
ok correct! (13 test cases)
Test #15:
score: 0
Accepted
time: 24ms
memory: 3676kb
input:
792 43 1432 33 1687 39 1872 49 906 41 27 49 1140 41 2730 39 1350 33 1625 26 986 26 1079 29 377 50 2930 24 536 28 874 44 1659 36 46 26 1199 46 1289 50 1662 48 59 20 90 37 2025 40 1971 31 443 31 511 36 1940 29 1515 21 104 24 432 23 337 38 2222 36 1016 24 786 23 737 50 1728 45 2032 22 183 50 416 44 375...
output:
Possible RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR RRRRRRRRRRRRRRRRRRRRRRRRRRR...
result:
ok correct! (792 test cases)