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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#425023#6353. Kth Lex Min Min Min Subpalindromesushg8877AC ✓249ms73976kbC++141.6kb2024-05-29 21:24:072024-05-29 21:24:07

Judging History

你现在查看的是最新测评结果

  • [2024-05-29 21:24:07]
  • 评测
  • 测评结果:AC
  • 用时:249ms
  • 内存:73976kb
  • [2024-05-29 21:24:07]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define LL __int128
const int MAXN=1e6+5;
ll n,m,k;
LL pw(LL a,int b){LL r=1;while(b){if(b&1)r=min(r*a,(LL)k+1);a=min(a*a,(LL)k+1),b>>=1;}return min(r,(LL)k+1);}
int ans[MAXN],b[MAXN];
bool check(int x){
	if(n==2&&x==2&&b[1]==b[2]) return false;
	if(x>=3&&b[x-2]==b[x-1]&&b[x-1]==b[x]) return false;
	if(x>=5&&b[x-3]==b[x-1]&&b[x-4]==b[x]) return false;
	if(x>=6&&b[x-5]==b[x]&&b[x-4]==b[x-1]&&b[x-3]==b[x-2]) return false;
	return true;
}
void dfs(int u){
	if(!k) return;
	if(u==n+1){
		if(--k==0) swap(ans,b);
		return;
	}
	for(int o:{1,2}){
		b[u]=o;
		if(check(u)){
			dfs(u+1);
			if(!k) return;
		}
	}
}
int main(){
	ios::sync_with_stdio(false);
	// freopen("Otomachi_Una.in","r",stdin);
	// freopen("Otomachi_una.out","w",stdout);
	cin>>n>>m>>k;
	if(n==1){
		if(k<=m) cout<<k;
		else cout<<"-1";
		return 0;
	}
	if(m==1){
		if(k==1){
			for(int i=1;i<=n;i++) cout<<"1 ";
		}else cout<<"-1";
	}else if(m>=3){
		for(int x=1;x<=m;x++){
			if(k>(m-1)*pw(m-2,n-2)) k-=(m-1)*pw(m-2,n-2);
			else{
				ans[1]=x;
				break;
			}
		}
		if(!ans[1]) cout<<"-1";
		else{
			for(int i=2;i<=n;i++){
				for(int j=1;j<=m;j++)if(j!=ans[i-1]&&j!=ans[i-2]){
					if(k>pw(m-2,n-i)) k-=pw(m-2,n-i);
					else{
						ans[i]=j;
						break;
					}
				}
			}
			for(int i=1;i<=n;i++) cout<<ans[i]<<' ';
		}
	}else{
		// hard one :(, I think that has no 111 and 000 and any 5/6- palind in it?
		dfs(1);
		if(k) cout<<"-1";
		else{
			for(int i=1;i<=n;i++) cout<<ans[i]<<' ';
		}
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3704kb

input:

1 1 1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 2ms
memory: 11460kb

input:

2 2 2

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 5632kb

input:

3 3 3

output:

2 1 3 

result:

ok 3 number(s): "2 1 3"

Test #4:

score: 0
Accepted
time: 1ms
memory: 5708kb

input:

9 9 8244353

output:

2 4 1 2 6 8 1 2 7 

result:

ok 9 numbers

Test #5:

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

input:

10 7 998244353

output:

-1

result:

ok 1 number(s): "-1"

Test #6:

score: 0
Accepted
time: 1ms
memory: 5756kb

input:

3 1000 994253860

output:

998 244 353 

result:

ok 3 number(s): "998 244 353"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

58 4 864691128455135232

output:

4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 

result:

ok 58 numbers

Test #8:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

58 4 864691128455135233

output:

-1

result:

ok 1 number(s): "-1"

Test #9:

score: 0
Accepted
time: 110ms
memory: 9532kb

input:

1000000 1000000 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #10:

score: 0
Accepted
time: 105ms
memory: 9024kb

input:

1000000 4 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #11:

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

input:

1 1 2

output:

-1

result:

ok 1 number(s): "-1"

Test #12:

score: 0
Accepted
time: 0ms
memory: 3576kb

input:

1 2 2

output:

2

result:

ok 1 number(s): "2"

Test #13:

score: 0
Accepted
time: 5ms
memory: 11440kb

input:

2 2 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #14:

score: 0
Accepted
time: 5ms
memory: 11440kb

input:

3 2 4

output:

2 1 1 

result:

ok 3 number(s): "2 1 1"

Test #15:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

3 2 7

output:

-1

result:

ok 1 number(s): "-1"

Test #16:

score: 0
Accepted
time: 0ms
memory: 11520kb

input:

4 2 10

output:

2 2 1 2 

result:

ok 4 number(s): "2 2 1 2"

Test #17:

score: 0
Accepted
time: 0ms
memory: 11460kb

input:

4 2 3

output:

1 2 1 1 

result:

ok 4 number(s): "1 2 1 1"

Test #18:

score: 0
Accepted
time: 5ms
memory: 11460kb

input:

5 2 7

output:

2 1 1 2 1 

result:

ok 5 number(s): "2 1 1 2 1"

Test #19:

score: 0
Accepted
time: 0ms
memory: 3584kb

input:

5 2 13

output:

-1

result:

ok 1 number(s): "-1"

Test #20:

score: 0
Accepted
time: 5ms
memory: 11404kb

input:

6 2 5

output:

1 2 2 1 1 2 

result:

ok 6 numbers

Test #21:

score: 0
Accepted
time: 83ms
memory: 73972kb

input:

1000000 2 3

output:

1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 ...

result:

ok 1000000 numbers

Test #22:

score: 0
Accepted
time: 127ms
memory: 73976kb

input:

1000000 2 5

output:

1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 ...

result:

ok 1000000 numbers

Test #23:

score: 0
Accepted
time: 176ms
memory: 73972kb

input:

1000000 2 7

output:

2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 ...

result:

ok 1000000 numbers

Test #24:

score: 0
Accepted
time: 249ms
memory: 70532kb

input:

1000000 2 1000000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #25:

score: 0
Accepted
time: 0ms
memory: 3644kb

input:

1 3 2

output:

2

result:

ok 1 number(s): "2"

Test #26:

score: 0
Accepted
time: 1ms
memory: 5712kb

input:

2 3 5

output:

3 1 

result:

ok 2 number(s): "3 1"

Test #27:

score: 0
Accepted
time: 110ms
memory: 8632kb

input:

1000000 3 5

output:

3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 ...

result:

ok 1000000 numbers

Test #28:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

1000000 3 7

output:

-1

result:

ok 1 number(s): "-1"

Test #29:

score: 0
Accepted
time: 114ms
memory: 9580kb

input:

1000000 4 211106232532991

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #30:

score: 0
Accepted
time: 113ms
memory: 9336kb

input:

1000000 5 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #31:

score: 0
Accepted
time: 115ms
memory: 7640kb

input:

1000000 123123 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #32:

score: 0
Accepted
time: 1ms
memory: 5632kb

input:

6 1000000 1000000000000000000

output:

1 2 4 9 15 8 

result:

ok 6 numbers

Test #33:

score: 0
Accepted
time: 1ms
memory: 5692kb

input:

4 1000000 1000000000000000000

output:

2 7 15 9 

result:

ok 4 number(s): "2 7 15 9"

Test #34:

score: 0
Accepted
time: 16ms
memory: 5696kb

input:

3 1000000 999997000002000000

output:

1000000 999999 999998 

result:

ok 3 number(s): "1000000 999999 999998"

Test #35:

score: 0
Accepted
time: 7ms
memory: 3716kb

input:

3 1000000 999997000002000001

output:

-1

result:

ok 1 number(s): "-1"