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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#386679#7782. Ursa MinorxlwangWA 964ms382044kbC++145.0kb2024-04-11 19:20:052024-04-11 19:20:06

Judging History

This is the latest submission verdict.

  • [2024-04-11 19:20:06]
  • Judged
  • Verdict: WA
  • Time: 964ms
  • Memory: 382044kb
  • [2024-04-11 19:20:05]
  • Submitted

answer

#include<bits/stdc++.h>
#define fr(i,j,k) for(register int i=j;i<=k;++i)
#define rf(i,j,k) for(register int i=j;i>=k;--i)
#define foredge(i,j) for(register int i=head[j];i;i=e[i].nxt)
#define pb push_back
#define Times printf("Time:%.3lf\n",clock()/CLOCKS_PER_SEC)
using namespace std;
inline int read(){
	int x=0;
	bool f=0;
	char c=getchar();
	while(!isdigit(c)) f|=(c=='-'),c=getchar();
	while(isdigit(c)) x=(x<<3)+(x<<1)+(c^48),c=getchar();
	return f?-x:x;
}
inline void write(int x){
    if(x<0){putchar('-');x=-x;}
    if(x>9)write(x/10);
    putchar(x%10+'0');
}
inline void writeln(int x){write(x); puts("");}
inline void writepl(int x){write(x); putchar(' ');}
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
inline int randfind(int l,int r){return rnd()%(r-l+1)+l;}
//inline void init(){
//	int t=read();
//	while(t--) work();
//}
const int Maxn=2e5+10,B=450,mod=1e9+7,base=131,Maxb=460;
inline int ksm(int x,int y=mod-2){
    int sum=1;
    while(y){
        if(y&1) sum=1ll*sum*x%mod;
        y=y/2;x=1ll*x*x%mod;
    }
    return sum;
}
int n,q;
namespace GCD{
    int lg[Maxn];
    inline int gcd(int x,int y){
        if(y==0) return x;
        return gcd(y,x%y);
    }
    int ln;
    int a[Maxn],f[Maxn][21];
    inline void init(){
        lg[0]=-1;
        fr(i,1,ln) lg[i]=lg[i/2]+1;
        fr(i,1,ln) f[i][0]=a[i];
        fr(j,1,lg[ln]) fr(i,1,ln){
            if(i+(1<<j)-1>ln) break;
            f[i][j]=gcd(f[i][j-1],f[i+(1<<(j-1))][j-1]);
        }
    }
    inline int getgcd(int l,int r){
        int ln=lg[r-l+1];
        return gcd(f[l][ln],f[r-(1<<ln)+1][ln]);
    }
}
inline void add(int &x,int y){
    x+=y;if(x>=mod) x-=mod;
}
namespace bit{
    int s[Maxn];
    inline int lowbit(int x){return x&(-x);}
    inline void update(int x,int k){
        while(x<=n) s[x]=(s[x]+k)%mod,x+=lowbit(x);
    }
    inline int query(int x){
        int ans=0;
        while(x) add(ans,s[x]),x-=lowbit(x);
        return ans;
    }
    inline int getans(int l,int r){
        return (query(r)-query(l-1)+mod)%mod;
    }
}
int a[Maxn];
int id[Maxn];
int bl[Maxn],br[Maxn];
int nod;
namespace ALL{
    int pre[Maxn],s[Maxn];
    int a[Maxn];
    inline void update(int x,int k){
        int now=(k-a[x]+mod)%mod;
        fr(i,id[x],nod) add(s[i],now);
        fr(i,x,br[id[x]]) add(pre[i],now);
        a[x]=k;
    }
    inline int query(int x){
        if(x<=0) return 0;
        return (s[id[x]-1]+pre[x])%mod;
    }
}
struct BLOCK{
    int s[Maxn];
    int S[Maxn];
    inline void update(int x,int k){
        // cout<<x<<' '<<a[x]<<' '<<k<<endl;
        S[id[x]]=1ll*(S[id[x]]-s[x]+k+mod)%mod;
        s[x]=k;
    }
    inline int query(int x){
        int ans=0;
        fr(i,1,id[x]-1) add(ans,S[i]);
        fr(i,bl[id[x]],x) add(ans,s[i]);
        return ans;
    }
}block[Maxb];
int ipw[Maxn];
int s[Maxn];
int pw[Maxn];
inline void init(){
    n=read();GCD::ln=read();q=read();
    fr(i,1,n) a[i]=read();
    fr(i,1,GCD::ln) GCD::a[i]=read();
    GCD::init();
    fr(i,1,n){
        id[i]=(i-1)/B+1;
        if(!bl[id[i]]) bl[id[i]]=i;
        br[id[i]]=i;
    }
    pw[0]=ipw[0]=1;s[0]=1;
    fr(i,1,n) pw[i]=1ll*pw[i-1]*base%mod,ipw[i]=ksm(pw[i]);
    fr(i,1,n) s[i]=pw[i],add(s[i],s[i-1]);
    nod=id[n];
    // cerr<<nod<<endl;
    fr(i,1,B) fr(j,1,n) block[i].update(j,1ll*pw[j%i]*a[j]%mod);
    fr(i,1,n) bit::update(i,a[i]);
    fr(i,1,n) ALL::update(i,1ll*pw[i]*a[i]%mod);
}
inline void work(){
    char ch[2];
    while(q--){
        scanf("%s",ch+1);
        if(ch[1]=='U'){
            int x,k;
            x=read();k=read();
            bit::update(x,(k-a[x]+mod)%mod);
            fr(i,1,B) block[i].update(x,1ll*pw[x%i]*k%mod);
            ALL::update(x,1ll*pw[x]*k%mod);a[x]=k;
        }
        else {
            int l,r,ll,rr;
            l=read();r=read();ll=read();rr=read();
            int k=GCD::getgcd(ll,rr);k=GCD::gcd(k,(r-l+1));
            // cout<<l<<' '<<r<<' '<<k<<endl;
            int s1;s1=1ll*bit::getans(l,r)*ksm(k)%mod*s[k-1]%mod;
            int s2=0;
            // cout<<s1<<endl;
            if(k<=B) s2=(block[k].query(r)-block[k].query(l-1)+mod)%mod;
            else {
                fr(i,0,n/k){
                    int nowl,nowr;
                    nowl=i*k,nowr=(i+1)*k-1;
                    nowl=max(nowl,l);nowr=min(nowr,r);
                    if(nowl>nowr) continue;
                    int now;now=(ALL::query(nowr)-ALL::query(nowl-1)+mod)%mod;
                    add(s2,1ll*now*ipw[i*k]%mod);
                }
                // cout<<"**"<<endl;
            }
            // cout<<k<<' '<<s1<<' '<<s2<<endl;
            s1=(s1+mod)%mod;s2=(s2+mod)%mod;
            if(s1==s2) puts("Yes");
            else puts("No");
        }
    }
}
signed main(){
	// freopen("input.in","r",stdin);
	// freopen("output.out","w",stdout);
    init();work();
    // printf("\nTIME:%.3lf",(double)clock()/CLOCKS_PER_SEC);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 7572kb

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: 0ms
memory: 7516kb

input:

1 1 1
0
1
Q 1 1 1 1

output:

Yes

result:

ok "Yes"

Test #3:

score: 0
Accepted
time: 348ms
memory: 11072kb

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: 238ms
memory: 25260kb

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: 221ms
memory: 19084kb

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: -100
Wrong Answer
time: 964ms
memory: 382044kb

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
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:

wrong answer 15th words differ - expected: 'Yes', found: 'No'