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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#528876 | #4839. Smaller LCA | Nanani_fan# | WA | 1978ms | 542228kb | C++20 | 3.6kb | 2024-08-24 00:05:09 | 2024-08-24 00:05:11 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
//注意Sum和cnt的区别
const int maxn = 3e5+10; // 数据范围
ll ans[maxn];
int n, cnt;
int sum[maxn*150], ls[maxn*150], rs[maxn*150];
// 用法:update(root, 1, n, x, f); 其中 x 为待修改节点的编号
void update(int& p, int L, int R, int x, int f) { // 引用传参
if (!p) p = ++cnt; // 当结点为空时,创建一个新的结点
if (L == R) {
sum[p] += f;
return;
}
int m = L + ((R - L) >> 1);
if (x <= m)
update(ls[p], L, m, x, f);
else
update(rs[p], m + 1, R, x, f);
sum[p] = sum[ls[p]] + sum[rs[p]]; // pushup
}
// 用法:query(root, 1, n, l, r);
int query(int p, int L, int R, int l, int r) {
if (!p) return 0; // 如果结点为空,返回 0
if (L >= l && R <= r) return sum[p];
int m = L + ((R - L) >> 1), ans = 0;
if (l <= m) ans += query(ls[p], L, m, l, r);
if (r > m) ans += query(rs[p], m + 1, R, l, r);
return ans;
}
int merge(int a, int b, int l, int r) {
if (!a) return b;
if (!b) return a;
if (l == r) {
sum[a]+=sum[b];
return a;
}
int mid = (l + r) >> 1;
ls[a] = merge(ls[a], ls[b], l, mid);
rs[a] = merge(rs[a], rs[b], mid + 1, r);
sum[a]=sum[ls[a]]+sum[rs[a]];
return a;
}
vector<int> ve[maxn];
int L[maxn],R[maxn],dfn;
int Sum[maxn];
void add(int l,int r,int x){
// cout<<"l="<<l<<" r="<<r<<" x="<<x<<endl;
Sum[l]+=x;
Sum[r+1]-=x;
}
int dep[maxn],f[21][maxn];
void dfs1(int x,int h)
{
L[x]=++dfn;
dep[x]=dep[h]+1;
for(int i=0;i<=19;i++)
f[i+1][x]=f[i][f[i][x]];
for(auto it:ve[x])if(it!=h){
f[0][it]=x;
dfs1(it,x);
}
R[x]=dfn;
}
int lca(int x,int y)
{
if(dep[x]<dep[y]) swap(x,y);
for(int i=20;i>=0;i--)
{
if(dep[f[i][x]]>=dep[y]) x=f[i][x];
if(x==y) return x;
}
for(int i=20;i>=0;i--)
if(f[i][x]!=f[i][y])
x=f[i][x],y=f[i][y];
return f[0][x];
}
int getson(int x,int y){
assert(L[y]>=L[x]&&R[y]<=R[x]);
for(int i=20;i>=0;i--)if(dep[f[i][y]]>dep[x])y=f[i][y];
return y;
}
vector<int> ad[maxn];
vector<pair<int,int>>era[maxn];
int dfs(int x,int h){
int rt=0;
for(auto it:ve[x])if(it!=h){
int g=dfs(it,x);
int t=query(g,1,n,x,n);
add(L[x],R[x],t);
add(L[it],R[it],-t);
rt=merge(rt,g,1,n);
// cout<<"x="<<x<<" h="<<h<<" it="<<it<<" t="<<t<<endl;
}
for(auto [p,q]:era[x])if(x<=p*q){
add(L[x],R[x],-1);
if(q==x)swap(p,q);
update(rt,1,n,p*q,-2);
// cout<<"x="<<x<<" it="<<p*q<<" -2"<<endl;
if(p==x)add(L[x],R[x],-1);
if(p==x)add(1,n,1);
}
for(auto it:ad[x]){
update(rt,1,n,it,1);
// cout<<"x="<<x<<" it="<<it<<" 1"<<endl;
add(L[x],R[x],1);
}
return rt;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin>>n;
for(int i=1;i<n;i++){
int x,y;cin>>x>>y;
// int x=i+1,y=rand()%(i)+1;
ve[x].push_back(y);
ve[y].push_back(x);
}
ll all=0;
dfs1(1,0);
for(int i=1;i<=n;i++){
all++;
for(int j=i+1;j<=n;j++)if((ll)i*j<=n){
ad[i].push_back(i*j);
ad[j].push_back(i*j);
int l=lca(i,j);
era[l].emplace_back(i,j);
}
else {all+=n-j+1;break;}
}
dfs(1,0);
for(int i=1;i<=n;i++)Sum[i]+=Sum[i-1];
for(int i=1;i<=n;i++){
cout<<all+Sum[L[i]]<<"\n";
// cout<<all<<" "<<Sum[L[i]]<<endl;
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 30376kb
input:
5 1 2 4 2 2 5 3 5
output:
15 15 15 15 14
result:
ok 5 number(s): "15 15 15 15 14"
Test #2:
score: -100
Wrong Answer
time: 1978ms
memory: 542228kb
input:
300000 40632 143306 32259 40632 225153 143306 269774 225153 289668 40632 191636 269774 85717 191636 58564 191636 156509 143306 289939 40632 247103 269774 40257 40632 98149 289668 142277 143306 291616 40257 46813 225153 56324 143306 277154 142277 53903 289668 114266 32259 152231 58564 241151 152231 4...
output:
44999961220 44999668941 44999714714 44999713733 44998758077 44999573333 44999166553 44998846712 44998731417 44998885955 44999695171 44998893503 44999028366 44998689221 44999467714 44999222200 44998876575 44999074226 44999085227 44998880439 44999611842 44999069900 44999215501 44998843558 44999037686 ...
result:
wrong answer 1st numbers differ - expected: '44999437117', found: '44999961220'