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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 |
---|---|---|---|---|---|---|---|---|---|
#386648 | #7782. Ursa Minor | xlwang | ML | 508ms | 36124kb | C++14 | 4.9kb | 2024-04-11 19:04:50 | 2024-04-11 19:04:50 |
Judging History
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=1331,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[Maxb];
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[Maxb];
int a[Maxn];
inline void update(int x,int k){
// cout<<x<<' '<<a[x]<<' '<<k<<endl;
S[id[x]]=1ll*(S[id[x]]-a[x]+k+mod)%mod;
s[x]=k;a[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];
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;
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;
}
详细
Test #1:
score: 100
Accepted
time: 3ms
memory: 18308kb
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: 14320kb
input:
1 1 1 0 1 Q 1 1 1 1
output:
Yes
result:
ok "Yes"
Test #3:
score: 0
Accepted
time: 508ms
memory: 27532kb
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: 225ms
memory: 36124kb
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: 218ms
memory: 29572kb
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
Memory Limit Exceeded
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 ...