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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#412449#8228. 排序do_while_true100 ✓4651ms460300kbC++205.1kb2024-05-16 14:33:582024-05-16 14:33:58

Judging History

This is the latest submission verdict.

  • [2024-05-16 14:33:58]
  • Judged
  • Verdict: 100
  • Time: 4651ms
  • Memory: 460300kb
  • [2024-05-16 14:33:58]
  • Submitted

answer

#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<ctime>
#include<random>
#include<array>
#include<assert.h>
#define pb emplace_back
#define mp make_pair
#define fi first
#define se second
#define dbg(x) cerr<<"In Line "<< __LINE__<<" the "<<#x<<" = "<<x<<'\n'
#define dpi(x,y) cerr<<"In Line "<<__LINE__<<" the "<<#x<<" = "<<x<<" ; "<<"the "<<#y<<" = "<<y<<'\n'
#define DE(fmt,...) fprintf(stderr, "Line %d : " fmt "\n",__LINE__,##__VA_ARGS__)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int>pii;
typedef pair<ll,int>pli;
typedef pair<ll,ll>pll;
typedef pair<int,ll>pil;
typedef vector<int>vi;
typedef vector<ll>vll;
typedef vector<pii>vpii;
typedef vector<pll>vpll;
template<typename T>T cmax(T &x, T y){return x=x>y?x:y;}
template<typename T>T cmin(T &x, T y){return x=x<y?x:y;}
template<typename T>
T &read(T &r){
	r=0;bool w=0;char ch=getchar();
	while(ch<'0'||ch>'9')w=ch=='-'?1:0,ch=getchar();
	while(ch>='0'&&ch<='9')r=r*10+(ch^48),ch=getchar();
	return r=w?-r:r;
}
template<typename T1,typename... T2>
void read(T1 &x,T2& ...y){read(x);read(y...);}
const int mod=1000000007;
inline void cadd(int &x,int y){x=(x+y>=mod)?(x+y-mod):(x+y);}
inline void cdel(int &x,int y){x=(x-y<0)?(x-y+mod):(x-y);}
inline int add(int x,int y){return (x+y>=mod)?(x+y-mod):(x+y);}
inline int del(int x,int y){return (x-y<0)?(x-y+mod):(x-y);}
int qpow(int x,int y){
	int s=1;
	while(y){
		if(y&1)s=1ll*s*x%mod;
		x=1ll*x*x%mod;
		y>>=1;
	}
	return s;
}
const int N=31;
const int M=11;
const int T=1100010;
const int inf=0x3f3f3f3f;
inline int bit(int x){return 1<<x;}
inline int all(int x){return (1<<x)-1;}
int n,m;
struct ele{
	int f,g;
	ele(){f=-inf;g=0;}
}dp[T];
int ok[T];
void cadd(ele &x,ele y){
	if(y.f>x.f)x=y;
	else if(y.f==x.f)cadd(x.g,y.g);
}
int f[T][N],g[T][N],mx[N];
int cf[T][N];
int nowd,lad,b[N],c[N];
int d[M];
pii enc(int *a,int d){
	int now=0;
	for(int w=1;w<=d;w++){
		int s=0,c=0;
		for(int i=w;i<=n;i+=d){
			++s;c+=(a[i]==-1);
		}
		now=now*(s+1)+c;
	}
	int p=0;
	for(int i=1;i<=n;i++)if(a[i]==0)p=i;
	return mp(now,p);
}
void dec(int *a,int S,int o,int d){
	for(int w=d;w>=1;w--){
		int s=0,c=0;
		for(int i=w;i<=n;i+=d)++s;
		c=S%(s+1);
		S=S/(s+1);
		for(int i=w;i<=n;i+=d){
			if(c)a[i]=-1,--c;
			else a[i]=1;
		}
	}
	a[o]=0;
}
void print(int S,int d){
	static int a[N];
	dec(a,S,0,d);
	for(int i=1;i<=n;i++)cerr<<a[i]<<' ';
}
int qwq;
void dfs(int x,int o){
	if(x==n+1){
		if(!o)return ;
		++qwq;
		int T=enc(b,nowd).fi,ct=0;
		cmax(mx[nowd],T);
		for(int i=1;i<=n;i++)c[i]=b[i];
		// if(qwq==5){
		// 	dbg(lad);
		// 	for(int i=1;i<=n;i++)cerr<<b[i]<<' ';
		// 	cerr<<'\n';
		// }
		for(int w=1;w<=lad;w++){
			int cf=0,c0=0,cz=0;
			for(int i=w;i<=n;i+=lad){
				if(c[i]==-1)++cf;
				else if(c[i]==0)++c0,ct=cz;
				else ++cz;
			}
			for(int i=w;i<=n;i+=lad){
				if(cf)c[i]=-1,--cf;
				else if(c0)c[i]=0,--c0;
				else c[i]=1,--cz;
			}
		}
		auto [S,p]=enc(c,lad);
		g[T][o]=f[S][p]+ct;
		if(nowd==d[1]){
			dec(c,T,o,d[1]);
			int w=o%d[1];
			w=(w==0?d[1]:w);
			int cz=0;
			for(int i=w;i<=n;i+=d[1])
				if(c[i]==1)
					++cz;
			c[o]=-1;
			int A=enc(c,d[1]).fi;
			cf[A][o]=g[T][o]+cz;
			// print(A,d[1]);
			// cerr<<'\n'<<o<<" : ";
			// cerr<<cf[A][o]<<'\n';
			// dpi(ct,qwq);
		}
		return ;
	}
	if(x<=nowd||b[x-nowd]<=-1)
		b[x]=-1,dfs(x+1,o);
	if(x<=nowd||b[x-nowd]<=1)
		b[x]=1,dfs(x+1,o);
	if((x<=nowd||b[x-nowd]<=0)&&!o)
		b[x]=0,dfs(x+1,x);
}
vi pre[T];
vi nowvec;
void dbgdfs(int x){
	nowvec.pb(x);
	if(pre[x].empty()){
		vi tmp=nowvec;
		reverse(tmp.begin(),tmp.end());
		for(auto i:tmp){
			print(i,d[1]);
			cerr<<'\n';
		}
		cerr<<'\n';
	}
	else{
		if(pre[x].size()>=2){
			cerr<<"!!! : ";
			print(x,d[1]);
			cerr<<'\n';
		}
		for(auto v:pre[x])dbgdfs(v);
	}
	nowvec.pop_back();
}
signed main(){
	#ifdef do_while_true
		assert(freopen("data.in","r",stdin));
//		assert(freopen("data.out","w",stdout));
	#endif
	read(n,m);
	for(int i=1;i<=m;i++)read(d[i]);
	if(m==1){
		cout<<n*(n-1)/2<<' '<<1<<'\n';
		return 0;
	}
	for(int i=m-1;i>=1;i--){
		nowd=d[i];lad=d[i+1];
		dfs(1,0);
		for(int j=0;j<=mx[lad];j++)for(int k=1;k<=n;k++)f[j][k]=-inf;
		for(int j=0;j<=mx[nowd];j++)for(int k=1;k<=n;k++)f[j][k]=g[j][k],g[j][k]=-inf;
	}
	for(int i=1;i<=n;i++)b[i]=-1;
	int sta=enc(b,d[1]).fi;
	dp[sta].f=0;dp[sta].g=1;
	ok[sta]=1;
	queue<int>q;
	q.push(sta);
	while(!q.empty()){
		int S=q.front();q.pop();
		dec(b,S,0,d[1]);
		for(int i=1;i<=n;i++){
			if(b[i]==-1&&(i>=n-d[1]+1||b[i+d[1]]==1)){
				b[i]=1;
				int T=enc(b,d[1]).fi;
				b[i]=-1;
				if(!ok[T]){
					q.push(T);
					ok[T]=1;
				}
				auto z=dp[S];
				z.f+=cf[S][i];
				if(z.f>dp[T].f){
					pre[T].clear();
				}
				cadd(dp[T],z);
				if(z.f==dp[T].f){
					pre[T].pb(S);
				}
			}
		}
	}
	for(int i=1;i<=n;i++)b[i]=1;
	sta=enc(b,d[1]).fi;
	cout<<dp[sta].f<<' '<<dp[sta].g<<'\n';
	// dbgdfs(sta);
    #ifdef do_while_true
//		cerr<<'\n'<<"Time:"<<1.0*clock()/CLOCKS_PER_SEC*1000<<" ms"<<'\n';
	#endif
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 18
Accepted

Test #1:

score: 18
Accepted
time: 2ms
memory: 16388kb

input:

2 2
2 1

output:

1 1

result:

ok 2 number(s): "1 1"

Test #2:

score: 0
Accepted
time: 0ms
memory: 17996kb

input:

5 4
5 4 2 1

output:

6 4

result:

ok 2 number(s): "6 4"

Test #3:

score: 0
Accepted
time: 4ms
memory: 18408kb

input:

8 4
6 3 2 1

output:

15 4

result:

ok 2 number(s): "15 4"

Test #4:

score: 0
Accepted
time: 0ms
memory: 18044kb

input:

8 6
8 7 5 4 2 1

output:

14 2

result:

ok 2 number(s): "14 2"

Test #5:

score: 0
Accepted
time: 2ms
memory: 18388kb

input:

8 3
8 7 1

output:

22 7

result:

ok 2 number(s): "22 7"

Test #6:

score: 0
Accepted
time: 2ms
memory: 16276kb

input:

8 1
1

output:

28 1

result:

ok 2 number(s): "28 1"

Subtask #2:

score: 27
Accepted

Dependency #1:

100%
Accepted

Test #7:

score: 27
Accepted
time: 8ms
memory: 22916kb

input:

16 2
6 1

output:

77 15

result:

ok 2 number(s): "77 15"

Test #8:

score: 0
Accepted
time: 36ms
memory: 26472kb

input:

16 8
10 9 8 7 6 5 4 1

output:

57 5

result:

ok 2 number(s): "57 5"

Test #9:

score: 0
Accepted
time: 44ms
memory: 26612kb

input:

16 10
10 9 8 7 6 5 4 3 2 1

output:

57 3

result:

ok 2 number(s): "57 3"

Test #10:

score: 0
Accepted
time: 37ms
memory: 26508kb

input:

16 7
10 9 8 6 5 4 1

output:

49 1

result:

ok 2 number(s): "49 1"

Test #11:

score: 0
Accepted
time: 4ms
memory: 18140kb

input:

16 4
7 6 2 1

output:

52 9

result:

ok 2 number(s): "52 9"

Subtask #3:

score: 21
Accepted

Dependency #2:

100%
Accepted

Test #12:

score: 21
Accepted
time: 8ms
memory: 18532kb

input:

22 3
5 3 1

output:

100 1

result:

ok 2 number(s): "100 1"

Test #13:

score: 0
Accepted
time: 4ms
memory: 15036kb

input:

22 1
1

output:

231 1

result:

ok 2 number(s): "231 1"

Test #14:

score: 0
Accepted
time: 307ms
memory: 65408kb

input:

22 4
10 8 3 1

output:

97 4

result:

ok 2 number(s): "97 4"

Test #15:

score: 0
Accepted
time: 282ms
memory: 62540kb

input:

22 5
10 7 6 3 1

output:

92 70

result:

ok 2 number(s): "92 70"

Test #16:

score: 0
Accepted
time: 390ms
memory: 64128kb

input:

22 6
10 9 8 7 3 1

output:

97 1

result:

ok 2 number(s): "97 1"

Test #17:

score: 0
Accepted
time: 406ms
memory: 65636kb

input:

22 10
10 9 8 7 6 5 4 3 2 1

output:

109 1

result:

ok 2 number(s): "109 1"

Subtask #4:

score: 10
Accepted

Test #18:

score: 10
Accepted
time: 4ms
memory: 18556kb

input:

14 2
10 1

output:

61 210

result:

ok 2 number(s): "61 210"

Test #19:

score: 0
Accepted
time: 0ms
memory: 18572kb

input:

18 2
2 1

output:

117 1

result:

ok 2 number(s): "117 1"

Test #20:

score: 0
Accepted
time: 1547ms
memory: 232224kb

input:

30 2
9 1

output:

264 84

result:

ok 2 number(s): "264 84"

Test #21:

score: 0
Accepted
time: 1220ms
memory: 193048kb

input:

29 2
9 1

output:

253 36

result:

ok 2 number(s): "253 36"

Test #22:

score: 0
Accepted
time: 184ms
memory: 54616kb

input:

25 2
8 1

output:

195 8

result:

ok 2 number(s): "195 8"

Subtask #5:

score: 24
Accepted

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Test #23:

score: 24
Accepted
time: 4116ms
memory: 456992kb

input:

30 4
10 9 5 1

output:

188 40

result:

ok 2 number(s): "188 40"

Test #24:

score: 0
Accepted
time: 4623ms
memory: 458336kb

input:

30 9
10 9 8 7 6 5 4 3 1

output:

184 6

result:

ok 2 number(s): "184 6"

Test #25:

score: 0
Accepted
time: 4585ms
memory: 460300kb

input:

30 8
10 9 8 7 4 3 2 1

output:

154 1

result:

ok 2 number(s): "154 1"

Test #26:

score: 0
Accepted
time: 3871ms
memory: 458136kb

input:

30 8
10 8 7 6 5 4 3 1

output:

155 1

result:

ok 2 number(s): "155 1"

Test #27:

score: 0
Accepted
time: 3770ms
memory: 457312kb

input:

30 6
10 8 6 4 3 1

output:

150 4

result:

ok 2 number(s): "150 4"

Test #28:

score: 0
Accepted
time: 4651ms
memory: 459776kb

input:

30 10
10 9 8 7 6 5 4 3 2 1

output:

184 6

result:

ok 2 number(s): "184 6"

Test #29:

score: 0
Accepted
time: 3229ms
memory: 350348kb

input:

29 6
10 9 7 5 3 1

output:

129 200

result:

ok 2 number(s): "129 200"

Extra Test:

score: 0
Extra Test Passed