QOJ.ac

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
#403380#7782. Ursa Minorqf96TL 1321ms265496kbC++143.8kb2024-05-02 10:04:052024-05-02 10:04:07

Judging History

你现在查看的是最新测评结果

  • [2024-05-02 10:04:07]
  • 评测
  • 测评结果:TL
  • 用时:1321ms
  • 内存:265496kb
  • [2024-05-02 10:04:05]
  • 提交

answer

#include<bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define INT __int128
#define UINT __uint128_t
#define ld long double
#define pii pair<int,int>
#define fi first
#define se second
#define pb emplace_back
#define pc __builtin_popcount
#define pcl __builtin_popcountll
#define lb(x) ((x)&-(x))
using namespace std;
void __file(string s){freopen((s+".in").c_str(),"r",stdin),freopen((s+".out").c_str(),"w",stdout);}
const INT P=(ll)(1e18)+3,base=20080523;
INT qpow(INT x,INT y=P-2){INT z=1;while(y){if(y&1)z=z*x%P;x=x*x%P,y>>=1;}return z;}
const ll N=2e5+5,B=150;
ll pw[N],pi[N],pws[N];

struct BIT{
	vector<ll> v;
	int n;
	void init(int siz){n=siz,v.resize(siz+3);}
	inline void upd(int x,ll d){
		for(;x<=n;x+=lb(x)) v[x]+=d;
	}
	inline ll qr(int x){
		ll ans=0;for(;x;x-=lb(x))ans+=v[x];
		return ans;
	}
	inline ll qr(int l,int r){return qr(r)-qr(l-1);}
}s[B+5][B+5],tree;//间隔i,模i余数1~i

inline void add(INT& x,INT y){x+=y;if(x>=P)x-=P;}
inline INT sub(INT x,INT y){add(x,P-y);return x;}
struct BIT_MOD{
	INT v[N];
	int n;
	inline void upd(int x,INT d){
		for(;x<=n;x+=lb(x)) add(v[x],d);
	}
	inline INT qr(int x){
		INT ans=0;for(;x;x-=lb(x)) add(ans,v[x]);
		return ans;
	}
	inline INT qr(int l,int r){return sub(qr(r),qr(l-1));}
}tmod;

ll n,m,q;
ll a[N],b[N];
ll re[N];
namespace OP{
	ll l1[N],r1[N],d[N];
	ll gcd[N];
	void work(int l,int r,vector<int>& v){
		if(l==r){
			for(int i:v) d[i]=b[l];
			return;
		}
		vector<int> lv,rv;
		int mid=(l+r)>>1;
		int i;
		gcd[mid]=b[mid];
		for(i=mid-1;i>=l;i--) gcd[i]=__gcd(gcd[i+1],b[i]);
		gcd[mid+1]=b[mid+1];
		for(i=mid+2;i<=r;i++) gcd[i]=__gcd(gcd[i-1],b[i]);
		for(int i:v){
			if(r1[i]<=mid) lv.pb(i);
			else if(l1[i]>mid) rv.pb(i);
			else{
				d[i]=__gcd(gcd[l1[i]],gcd[r1[i]]);
			}
		}
		work(l,mid,lv),work(mid+1,r,rv);
	}
	ll op[N];
	void init(){
		vector<int> v;for(int i=1;i<=q;i++) if(op[i]==2) v.pb(i);
		work(1,m,v);
		// for(int i=1;i<=q;i++) cerr<<d[i]<<' ';;cerr<<endl;
	}
	ll x[N],y[N];
	ll l[N],r[N];
	void input(){
		char ch;
		for(int i=1;i<=q;i++){
			cin>>ch,op[i]=(ch=='Q')+1;
			if(op[i]==1) cin>>x[i]>>y[i];
			else cin>>l[i]>>r[i]>>l1[i]>>r1[i];
		}
	}
}
int main(){
	cin.tie(nullptr)->sync_with_stdio(false);
	ll i,j,x,y;
	cin>>n>>m>>q;
	for(i=1;i<=n;i++) cin>>a[i];
	for(i=1;i<=m;i++) cin>>b[i];
	OP::input(),OP::init();
	INT ib=qpow(base);
	pw[0]=pi[0]=1;for(i=1;i<=n;i++) pw[i]=(INT)pw[i-1]*base%P,pi[i]=(INT)pi[i-1]*ib%P;
	pws[0]=1;for(i=1;i<=n;i++) pws[i]=(pws[i-1]+pw[i])%P;
	tree.init(n);for(i=1;i<=n;i++) tree.upd(i,a[i]);
	tmod.n=n;
	for(i=1;i<=n;i++) tmod.upd(i,(INT)pw[i]*a[i]%P);
	for(i=1;i<=B;i++) for(j=1;j<=i;j++) s[i][j].init(n/i+1);
	for(i=1;i<=B;i++) for(j=1;j<=n;j++){
		s[i][(j-1)%i+1].upd((j-1)/i+1,a[j]);
	}
	for(int Q=1;Q<=q;Q++){
		int op=OP::op[Q];
		if(op==1){
			x=OP::x[Q],y=OP::y[Q];
			INT d=y-a[x];a[x]=y;
			for(i=1;i<=B;i++){
				s[i][(x-1)%i+1].upd((x-1)/i+1,d);
			}
			tree.upd(x,d);
			// cerr<<x<<' '<<(ll)d<<endl;
			d=(d+P)%P*pw[x]%P;
			// cerr<<x<<' '<<(ll)d<<endl;
			tmod.upd(x,d);
		}
		else{
			ll l=OP::l[Q],r=OP::r[Q],d=OP::d[Q];
			d=__gcd(d,r-l+1);
			if(d<=B){
				// cout<<1;
				unordered_set<ll> st;
				ll len=(r-l+1)/d;
				for(i=l;i<l+d;i++){
					st.insert(s[d][(i-1)%d+1].qr((i-1)/d+1,(i-1)/d+len));
					if(st.size()>=2) break;
				}
				cout<<(st.size()==1?"Yes":"No")<<'\n';
			}
			else{
				// cout<<2;
				// cerr<<tree.qr(l,r)<<endl;
				INT u=(tree.qr(l,r)/d%P+P)%P;
				// cerr<<(ll)u<<endl;
				// cout<<l<<' '<<r<<' '<<(ll)d<<' '<<(ll)u<<' '<<endl;
				INT cnt=0,ec=0;
				ec=u*pws[d-1]%P;
				for(i=l;i<=r;i+=d){
					cnt+=tmod.qr(i,i+d-1)*pi[i]%P;
				}
				cnt%=P;
				cout<<(cnt==ec?"Yes":"No")<<'\n';
			}
		}
	}
	cerr<<clock()*1.0/CLOCKS_PER_SEC<<endl;
	return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 2ms
memory: 5216kb

input:

6 4 5
1 1 4 5 1 4
3 3 2 4
Q 1 5 1 2
Q 2 5 3 4
U 5 2
Q 1 6 1 2
Q 2 5 3 4

output:

Yes
No
No
Yes

result:

ok 4 tokens

Test #2:

score: 0
Accepted
time: 2ms
memory: 5084kb

input:

1 1 1
0
1
Q 1 1 1 1

output:

Yes

result:

ok "Yes"

Test #3:

score: 0
Accepted
time: 234ms
memory: 21072kb

input:

2000 2000 200000
1 1 2 0 0 2 0 2 0 0 0 0 0 2 2 1 2 0 0 2 2 2 1 0 1 2 1 2 0 0 1 1 1 2 0 0 2 2 2 2 0 2 0 0 2 1 2 0 0 1 2 2 1 0 2 0 0 0 1 2 2 1 2 2 0 0 1 1 1 0 0 2 0 0 1 1 0 2 2 2 1 0 0 1 0 1 2 2 2 1 1 2 2 1 2 1 0 2 2 3 1 3 2 3 1 0 1 2 0 1 1 1 0 2 2 3 2 0 3 2 3 3 1 2 3 1 2 0 1 0 3 1 0 0 2 0 1 2 1 3 2 2...

output:

Yes
Yes
No
Yes
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
No
No
No
No
No
Yes
No
No
No
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
No
Yes
Yes
Yes
No
No
Yes
No
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No...

result:

ok 100554 tokens

Test #4:

score: 0
Accepted
time: 98ms
memory: 20720kb

input:

1 200000 200000
998244353
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
...

result:

ok 100240 tokens

Test #5:

score: 0
Accepted
time: 97ms
memory: 19724kb

input:

6 131072 200000
0 0 0 0 1000000000 1000000000
4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 ...

output:

Yes
Yes
Yes
No
No
No
Yes
No
No
No
No
No
Yes
Yes
No
Yes
No
Yes
Yes
Yes
No
No
No
No
No
No
No
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
No
No
No
Yes
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
Yes
Yes
No
Yes
N...

result:

ok 100021 tokens

Test #6:

score: 0
Accepted
time: 1140ms
memory: 265392kb

input:

200000 200000 200000
490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
Yes
Yes
Yes
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
Yes
Yes
No
No
No
No
No
No
No
No
N...

result:

ok 187340 tokens

Test #7:

score: 0
Accepted
time: 1272ms
memory: 262272kb

input:

200000 200000 200000
360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531 360543531...

output:

Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
...

result:

ok 199985 tokens

Test #8:

score: 0
Accepted
time: 1172ms
memory: 262224kb

input:

200000 200000 200000
793134805 922104801 158394038 993313213 77527653 992889267 148461787 499165677 132176015 189185554 783374975 332147281 923925325 371040161 393285793 437388761 138662855 212488140 265392646 498903298 578518594 550390771 960084339 408548934 56106823 814997309 456913457 300689692 1...

output:

No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No...

result:

ok 200000 tokens

Test #9:

score: 0
Accepted
time: 1164ms
memory: 262464kb

input:

200000 200000 200000
451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037 451942036 451942035 451942037...

output:

No
No
No
No
Yes
No
Yes
No
No
No
No
Yes
No
No
No
Yes
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
Yes
No
No
Yes
No
Yes
No
Yes
No
Yes
No
No
No
No
Yes
No
No
Yes
No
No
No
No
No
No
No
No
Yes
No
Yes
No
No
No
No
Yes
No
Yes
No
No
Yes
No
Yes
No
No
No
Yes
No
No
No
No
No
No
No
No
N...

result:

ok 199977 tokens

Test #10:

score: 0
Accepted
time: 1321ms
memory: 265496kb

input:

200000 200000 200000
606894463 710609424 913364361 30426550 801940265 516097169 349718376 606894463 710609424 913364361 30426550 801940265 516097169 349718376 606894463 710609424 913364361 30426550 801940265 516097169 349718376 606894463 710609424 913364361 30426550 801940265 516097169 349718376 606...

output:

No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
Yes
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
Yes
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
Yes
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
N...

result:

ok 100329 tokens

Test #11:

score: -100
Time Limit Exceeded

input:

200000 199999 200000
903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886 903745886...

output:

Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No...

result: