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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#735016 | #9543. Good Partitions | CCF | TL | 114ms | 10612kb | C++20 | 3.0kb | 2024-11-11 16:41:25 | 2024-11-11 16:41:26 |
Judging History
answer
#include<bits/stdc++.h>
#include<numeric>
using namespace std;
typedef long long ll;
#define pii pair<int,int>
#define fs first
#define sc second
#define pb push_back
#define epb emplace_back
#define endl
#define SZ(X) (int)((X).size())
template<typename T>T mabs(T x){return x>=0?x:-x;}
const int N=1.1e6,mod=998244353;
int a[N],n;
struct trar{
ll tree[N];
#define lb(i) ((i)&-(i))
void _add(int i,ll x){
for(;i<=n;i+=lb(i))tree[i]+=x;
}
ll _sum(int r){
assert(r>0);
ll res=0;
for(;r>0;r^=lb(r))res+=tree[r];
return res;
}
ll query(int i){
return _sum(i);
}
void modify(int l,int r,ll x){
assert(l<=r);
ll adt=x;//-query(l);
_add(l,adt);
_add(r+1,-adt);
}
}L,R;
int ss[N];
void work(){
int q;
scanf("%d%d",&n,&q);
for(int i=1;i<=n;i++)scanf("%d",a+i);
int sq=sqrt(n+1);
map<int,int>bl;
auto era=[&](int x){
//cerr<<"ERA"<<x<<"#\n";
assert(bl[x]>0);
if(bl[x]>1)bl[x]--;
else if(bl[x]==1)bl.erase(x);
};
auto getans=[&](){
if(bl.size()<=sq){
if(bl.size()==0)return n;
int res=bl.begin()->fs;
for(auto e:bl)res=gcd(res,e.fs);
return ss[res];
}
else return 1;
};
int las=1;
for(int i=2;i<=n+1;i++){
if(a[i]<a[i-1]){
int l=las,r=i-1;
L.modify(l,r,l);
R.modify(l,r,r);
if(r<n)bl[r-l+1]++;
las=i;
}
}
cout<<getans()<<"\n";
for(int i=1;i<=n;i++)
cerr<<'('<<L.query(i)<<','<<R.query(i)<<")";cerr<<"\n";
for(auto e:bl)
cerr<<'('<<e.fs<<','<<e.sc<<")";cerr<<"\n";
a[0]=2e9+1;
for(int j=1;j<=q;j++){
int i,x;
scanf("%d%d",&i,&x);
set<pii>tmp;
for(int k=max(i-1,1);k<=min(i+1,n);k++)
tmp.insert(pii(L.query(k),R.query(k)));
for(auto e:tmp){
if(e.sc<n)era(e.sc-e.fs+1);
}
//cerr<<"$";
a[i]=x;
vector<pii>temp;
auto update=[&](int l,int r){
//cerr<<"up#"<<l<<" "<<r<<"\n";//
temp.pb(pii(l,r));
};
int l,r;
if(a[i-1]<=x&&x<=a[i+1]){
l=L.query(i-1),r=R.query(i+1);
update(l,r);
}
else if(a[i-1]<=x){
l=L.query(i-1),r=i;
update(l,r);
if(i<n){
l=i+1,r=R.query(i+1);
update(l,r);
}
}
else if(x<=a[i+1]){
l=i,r=R.query(i+1);
update(l,r);
if(i>1){
l=L.query(i-1),r=i-1;
update(l,r);
}
}
else{
if(i<n){
l=i+1,r=R.query(i+1);
update(l,r);
}
if(i>1){
l=L.query(i-1),r=i-1;
update(l,r);
}
update(i,i);
}
for(auto e:tmp)
L.modify(e.fs,e.sc,-e.fs),R.modify(e.fs,e.sc,-e.sc);
for(int i=1;i<=n;i++)
cerr<<'('<<L.query(i)<<",_"<<R.query(i)<<")";cerr<<"\n";
for(auto e:temp){
l=e.fs,r=e.sc;
L.modify(l,r,l),R.modify(l,r,r);
if(r<n)bl[r-l+1]++;
}
cout<<getans()<<"\n";
////
for(int i=1;i<=n;i++)
cerr<<'('<<L.query(i)<<','<<R.query(i)<<")";cerr<<"\n";
for(auto e:bl)
cerr<<'('<<e.fs<<';'<<e.sc<<")";cerr<<"\n";
}
}
int main(){
for(int i=1;i<=2e5;i++){
for(int j=1;j*j<=i;j++){
if(i%j==0)ss[i]+=1+(j!=i/j);
}
}
int t;
scanf("%d",&t);
while(t--)work();
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 106ms
memory: 10612kb
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: 114ms
memory: 10608kb
input:
1 1 1 2000000000 1 1999999999
output:
1 1
result:
ok 2 lines
Test #3:
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:
160 200000