QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#745770#9543. Good PartitionsP3KOTL 220ms13068kbC++171.6kb2024-11-14 11:29:092024-11-14 11:29:10

Judging History

你现在查看的是最新测评结果

  • [2024-11-14 11:29:10]
  • 评测
  • 测评结果:TL
  • 用时:220ms
  • 内存:13068kb
  • [2024-11-14 11:29:09]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;

const int MAXN=2e5+5;

typedef long long ll;

ll n,q,a[MAXN],d[MAXN];

ll gcd(ll x,ll y){
	return y==0?x:gcd(y,x%y);
}

struct seg{
	ll g;
}tr[MAXN*4];

void pushup(int p){
	tr[p].g=gcd(tr[p<<1].g,tr[p<<1|1].g);
}

void build(int p,int l,int r){
	if(l==r){
		tr[p]={d[l]};
		return;
	}
	int mid=l+r>>1;
	build(p<<1,l,mid);
	build(p<<1|1,mid+1,r);
	pushup(p);
}

void insert(int p,int l,int r,int tag,ll v){
	if(l==r){
		tr[p].g=v;
		return;
	}
	int mid=l+r>>1;
	if(tag<=mid)insert(p<<1,l,mid,tag,v);
	else insert(p<<1|1,mid+1,r,tag,v);
	pushup(p);
}

int query(int p,int s,int t,int l,int r){
	if(s>=l&&t<=r)return tr[p].g;
	int mid=s+t>>1;
	ll ans=0;
	if(l<=mid)ans=gcd(query(p<<1,s,mid,l,r),ans);
	if(r>mid)ans=gcd(query(p<<1|1,mid+1,t,l,r),ans);
	return ans;
}

void input(){
	cin>>n>>q;
	for(int i=1;i<=n;i++)cin>>a[i];
}

int numfac(ll x){
	if(x==0)return n+1;
	int ans=1;
	for(int i=2;x>1;i++){
		int cnt=0;
		if(x%i==0)
			while(x%i==0)x/=i,cnt++;
		ans*=(cnt+1);
	}
	return ans;
}

void solve(){
	input();
	if(n==1){
		for(int i=0;i<=q;i++)
			cout<<1<<"\n";
		return;
	}
	for(int i=1;i<n;i++){
		if(a[i+1]<a[i])d[i]=i;
		else d[i]=0;
	}
	n--;
	build(1,1,n);
	cout<<numfac(query(1,1,n,1,n))<<"\n";
	for(int i=1;i<=q;i++){
		int p,v;cin>>p>>v;
		a[p]=v;
		if(p>1){
			if(a[p]>=a[p-1])insert(1,1,n,p-1,0);
			else insert(1,1,n,p-1,p-1);
		}
		if(p<=n){
			if(a[p]<=a[p+1])insert(1,1,n,p,0);
			else insert(1,1,n,p,p);
		}
		cout<<numfac(query(1,1,n,1,n))<<"\n";
	}
}

int main(){
	int t;cin>>t;
	while(t--){
		solve();	
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 7796kb

input:

1
5 2
4 3 2 6 1
2 5
3 5

output:

1
2
3

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 1ms
memory: 5620kb

input:

1
1 1
2000000000
1 1999999999

output:

1
1

result:

ok 2 lines

Test #3:

score: 0
Accepted
time: 220ms
memory: 13020kb

input:

1
200000 200000
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 ...

output:

160
200000
160
200000
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160
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160
200000
160
200000
160
200000
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160
200000
160...

result:

ok 200001 lines

Test #4:

score: 0
Accepted
time: 217ms
memory: 13068kb

input:

1
200000 200000
200001 200000 199999 199998 199997 199996 199995 199994 199993 199992 199991 199990 199989 199988 199987 199986 199985 199984 199983 199982 199981 199980 199979 199978 199977 199976 199975 199974 199973 199972 199971 199970 199969 199968 199967 199966 199965 199964 199963 199962 1999...

output:

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
...

result:

ok 200001 lines

Test #5:

score: -100
Time Limit Exceeded

input:

1
200000 200000
3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 ...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
...

result: