Submission #1070419

#TimeUsernameProblemLanguageResultExecution timeMemory
1070419thdh__Untitled (POI11_rot)C++17
63 / 100
32 ms15960 KiB
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #define ll long long #define pb push_back #define eb emplace_back #define pu push #define ins insert #define bruh ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0); #define ff(x,a,b,c) for (auto x=a;x<=b;x+=c) #define fd(x,a,b,c) for (auto x=a;x>=b;x-=c) #define int ll using namespace std; //mt19937 mt(chrono::steady_clock::now().time_since_epoch().count()); typedef pair<int, int> ii; const int N = 2e5+5; const int mod = 1e9+7; const int inf = 1e18; using cd = complex<double>; const long double PI = acos(-1); int power(int a,int b) {ll x = 1;if (a >= mod) a%=mod; while (b) {if (b & 1) x = x*a % mod;a = a*a % mod;b>>=1;}return x;} int n, root, sz[N], l[N], r[N], idx = 0, ans, sum, bit[4*N]; //BIT void update(int u,int val) { for (;u<=n+5;u += u&(-u)) bit[u] += val; } int get(int u) { int res = 0; for (;u>0;u -= u&(-u)) res += bit[u]; return res; } void reset(int u) { if (u<=n) { update(u,-1); return; } reset(l[u]); reset(r[u]); } void push(int u) { if (u<=n) { update(u,1); return; } push(l[u]), push(r[u]); } void calc(int u) { if (u<=n) { sum += get(n)-get(u); return; } calc(l[u]); calc(r[u]); } void dfs(int u) { if (u<=n) { update(u,1); return; } dfs(r[u]); reset(r[u]); dfs(l[u]); sum = 0; calc(r[u]); push(r[u]); ans += min(sum, sz[l[u]]*sz[r[u]]-sum); } //idea: dùng fenwick tree để quản lý số inversion //với mỗi đỉnh dfs ra 2 nhánh, tính minimum inversions //dfs ra nhánh r[u] trước rồi xóa hết các thao tác trên BIT //dfs tiếp sang nhánh l[u], rồi calculate số inversion (i,j) sao cho i thuộc nhánh l[u] còn j thuộc nhánh r[u] //push lại vào nhánh r[u]; //cộng thêm vào ans (có 2 TH: ko đảo thì số inv = sum, có đảo thì số inv = sz[l[u]]*sz[r[u]]-sum) int init() { int x; cin>>x; if (x) { sz[x] = 1; return x; } idx++; int i = idx-1; l[i] = init(); r[i] = init(); sz[i] += sz[l[i]] + sz[r[i]]; //cout<<i<<endl<<l[i]<<" "<<r[i]<<endl; if (sz[l[i]]<sz[r[i]]) swap(l[i],r[i]); return i; } void solve() { cin>>n; idx = n+1; int root = init(); dfs(root); cout<<ans; } signed main() { bruh //freopen("input.inp","r",stdin); //freopen("output.inp","w",stdout); int t = 1; //cin>>t; while (t--) { solve(); cout<<"\n"; } }
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