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 |
---|---|---|---|---|---|---|---|---|---|
#736693 | #9543. Good Partitions | xiaolei338 | WA | 44ms | 24932kb | C++20 | 4.3kb | 2024-11-12 12:37:25 | 2024-11-12 12:37:25 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
typedef pair<int, int> PII;
typedef pair<LL, LL> PLL;
const int N = 2e5 + 10, mod = 998244353, INF = 0x3f3f3f3f;
random_device rd;
mt19937_64 rng(rd());
LL n, m;
LL a[N];
template<class Info,class Tag>
struct LST{
int n;
vector<Info> tr;
vector<Tag> tag;
LST(int n) : n(n),tr(n << 2),tag(n << 2) {}
LST(vector<Info> a) : LST(a.size() - 1){
auto build = [&](auto self,int rt,int l,int r)->void{
if(l == r){
tr[rt] = a[l];
return;
}
int mid = (l + r) >> 1;
self(self,rt << 1,l,mid);
self(self,rt << 1 | 1,mid + 1,r);
push_up(rt);
};
build(build,1,1,n);
}
void push_up(int rt){
tr[rt] = tr[rt << 1] + tr[rt << 1 | 1];
}
void apply(int rt,int l,int r,const Tag& v){
tr[rt].apply(l,r,v);
tag[rt].apply(v);
}
void push_down(int rt,int l,int r){
int mid = (l + r) >> 1;
apply(rt << 1,l,mid,tag[rt]);
apply(rt << 1 | 1,mid + 1,r,tag[rt]);
tag[rt] = Tag();
}
void modify(int rt,int l,int r,int x,int y,const Tag& v){
if(x <= l && r <= y){
apply(rt,l,r,v);
return;
}
// push_down(rt,l,r);
int mid = (l + r) >> 1;
if(x <= mid)modify(rt << 1,l,mid,x,y,v);
if(y > mid)modify(rt << 1 | 1,mid + 1,r,x,y,v);
push_up(rt);
}
void modify(int x,int y,const Tag& v){modify(1,1,n,x,y,v);}
Info query(int rt,int l,int r,int x,int y){
if(x <= l && r <= y){
return tr[rt];
}
// push_down(rt,l,r);
int mid = (l + r) >> 1;
if(x <= mid && y > mid)return query(rt << 1,l,mid,x,y) + query(rt << 1 | 1,mid + 1,r,x,y);
else if(x <= mid)return query(rt << 1,l,mid,x,y);
else return query(rt << 1 | 1,mid + 1,r,x,y);
}
Info query(int x,int y){return query(1,1,n,x,y);}
};
struct Tag{
LL d;
Tag(LL v = 0) {d = v;}
void apply(Tag t){
d = t.d;
}
};
struct Info{
LL g;
Info(LL v = 0){
g = v;
}
void apply(int l,int r,Tag v){
g = v.d;
}
};
Info operator+(Info a,Info b){
Info c;
c.g = __gcd(a.g, b.g);
return c;
}
LL prime[N], cnt, st[N];
LL p1[N];// p[i]为i的欧拉函数,欧拉函数为1~n与n互质的个数
/*
N = a1(b1) * a2(b2) * ... am(bm), 其中a为质因子,b为质因子个数
p[N] = N * (a1 - 1) / a1 * (a2 - 1) / a2 * ... * (am - 1) / am
*/
void fun(int n)
{
p1[1] = 1;
for(int i = 2; i <= n; i ++)
{
if(!st[i])prime[++ cnt] = i, p1[i] = i - 1;
for(int j = 1; prime[j] * i <= n; j ++)
{
st[i * prime[j]] = 1;
if(i % prime[j] == 0)
{
p1[i * prime[j]] = p1[i] * prime[j];
break;
}
p1[i * prime[j]] = p1[i] * (prime[j] - 1);
}
}
}
void solve()
{
LL q;
cin >> n >> q;
for(int i = 1; i <= n; i ++)cin >> a[i];
vector<Info> w(n + 1);
for(int i = 2; i <= n; i ++)
{
if(a[i] < a[i - 1])w[i].g = i - 1;
}
LST<Info, Tag> tr(w);
// for(int i = 1; i <= n; i ++)cout << tr.query(i, i).g << ' ';
// cout << tr.query(1, n).g << '\n';
LL g = tr.query(1, n).g;
cout << g - p1[g] + 1 << '\n';
while(q --)
{
LL p, v;
cin >> p >> v;
if(p - 1 > 0){
if(v < a[p - 1] && a[p] >= a[p - 1])tr.modify(p, p, Tag(p - 1));
else if(v >= a[p - 1] && a[p] < a[p - 1]) tr.modify(p, p, Tag(0));
}
if(p + 1 <= n){
if(v <= a[p + 1] && a[p] > a[p + 1])tr.modify(p + 1, p + 1, Tag(0));
else if(v > a[p + 1] && a[p] <= a[p + 1])tr.modify(p + 1, p + 1, Tag(p));
}
a[p] = v;
// for(int i = 1; i <= n; i ++)cout << tr.query(i, i).g << ' ';
// cout << '\n';
// cout << tr.query(1, n).g << '\n';
g = tr.query(1, n).g;
cout << g - p1[g] + 1 << '\n';
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
LL _T = 1;
fun(200000);
cin >> _T;
while(_T --)
{
solve();
}
return 0;
}
詳細信息
Test #1:
score: 100
Accepted
time: 3ms
memory: 9116kb
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: 3ms
memory: 9180kb
input:
1 1 1 2000000000 1 1999999999
output:
1 1
result:
ok 2 lines
Test #3:
score: -100
Wrong Answer
time: 44ms
memory: 24932kb
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:
131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131761 1 131...
result:
wrong answer 1st lines differ - expected: '160', found: '131761'