Submission #396081

#TimeUsernameProblemLanguageResultExecution timeMemory
396081MrRobot_28Specijacija (COCI20_specijacija)C++17
110 / 110
2079 ms218564 KiB
#include<bits/stdc++.h> using namespace std; #define X first #define Y second #define sz(a) (int)a.size() #define ll long long const int N = 4e5 + 100; const int T = 20; int n, m, t; ll mod; ll a[N]; int lca[N][T]; int up[N]; int vals[N]; int H[N]; int idx[N]; vector <pair <int, int> > vec[N]; vector <int> g[N]; int it = 2e5; struct node{ node* left; node* right; int _sz; node(){}; }; void dfs(int v) { for(auto to : g[v]) { H[to] = H[v] + 1; dfs(to); } } node* mass[N]; int go_to(node* v, int l, int r, int d) { if(l == r) { return l; } if(v -> left -> _sz <= d) { return go_to(v -> right, (r + l) / 2 + 1, r, d - v -> left -> _sz); } return go_to(v -> left, l, (r + l) / 2, d); } void go_to1(node* pr, node *&v, int l, int r, int k) { v -> _sz = pr -> _sz; v -> _sz--; if(l == r) { return; } if(k <= (r + l) / 2) { v -> left = new node(); v -> right = pr -> right; go_to1(pr -> left, v -> left, l, (r + l) / 2, k); } else { v -> left = pr -> left; v -> right = new node(); go_to1(pr -> right, v -> right, (r + l) / 2 + 1, r, k); } } pair <int, int> funct(ll a) { int l = -1, r = n; while(r - l > 1) { ll midd = (r + l) / 2; if((midd + 2) * (midd + 1) / 2 <= a) { l = midd; } else { r = midd; } } return {l + 1, a - 1LL * (l + 2) * (l + 1) / 2}; } int go_to2(node* v, int l, int r, int x) { if(!v -> _sz) { return -1; } if(l > x) { return -1; } if(l == r) { return l; } if(r <= x) { if(v -> right -> _sz) { return go_to2(v -> right, (r + l) / 2 + 1, r, x); } return go_to2(v -> left, l, (r + l) / 2, x); } int t2 = go_to2(v -> right, (r + l) / 2 + 1, r, x); if(t2 != -1) { return t2; } int t1 = go_to2(v -> left, l, (r + l) / 2, x); return t1; } int coun(node* v, int l, int r, int x) { if(x < l) { return 0; } if(r <= x) { return v -> _sz; } return coun(v -> left, l, (r + l) / 2, x) + coun(v -> right, (r + l) / 2 + 1, r, x); } ll query1(ll a, ll b) { pair <int, int> t = funct(a); pair <int, int> t1 = funct(b); t.Y = go_to(mass[t.X], 0, n, t.Y); t1.Y = go_to(mass[t1.X], 0, n, t1.Y); // cout << t.X << " " << t.Y << " " << t1.X << " " << t1.Y << "\n"; if(t.X > t1.X) { swap(t, t1); } t.Y = go_to2(mass[t.X], 0, n, t.Y); t1.Y = go_to2(mass[t.X], 0, n, t1.Y); for(int j = T - 1; j >= 0; j--) { if(t.Y == t1.Y) { break; } // cout << j << "\n"; if((1 << j) <= t.X && go_to2(mass[t.X - (1 << j)], 0, n, t.Y) != go_to2(mass[t.X - (1 << j)], 0, n, t1.Y)) { t.Y = go_to2(mass[t.X - (1 << j)], 0, n, t.Y); t1.Y = go_to2(mass[t.X - (1 << j)], 0, n, t1.Y); t.X -= (1 << j); } } // cout << t.X << " " << t.Y << " " << t1.Y << "\n"; if(t.Y != t1.Y) { t.X--; t.Y = go_to2(mass[t.X], 0, n, t.Y); } t.Y = coun(mass[t.X], 0, n, t.Y - 1); return t.Y + 1 + 1LL * (t.X) * (t.X + 1) / 2; } ll query(ll a, ll b) { pair <int, int> t = funct(a); pair <int, int> t1 = funct(b); t.Y = go_to(mass[t.X], 0, n, t.Y); t1.Y = go_to(mass[t1.X], 0, n, t1.Y); if(t.X > t1.X) { swap(t, t1); } t.Y = go_to2(mass[t.X], 0, n, t.Y); t1.Y = go_to2(mass[t.X], 0, n, t1.Y); //cout << t.X << " " << t.Y << " " << t1.X << " " << t1.Y << "\n"; int f1 = lower_bound(vec[t.Y].begin(), vec[t.Y].end(), make_pair(t.X, 0)) - vec[t.Y].begin(); t.Y = vec[t.Y][f1].Y; f1 = lower_bound(vec[t1.Y].begin(), vec[t1.Y].end(), make_pair(t.X, 0)) - vec[t1.Y].begin(); t1.Y = vec[t1.Y][f1].Y; // cout << t.X << " " << t.Y << " " << t1.X << " " << t1.Y << "\n"; if(t.Y == t1.Y) { t.Y = coun(mass[t.X], 0, n, idx[t.Y] - 1); return t.Y + 1 + 1LL * t.X * (t.X + 1) / 2; } if(H[t.Y] > H[t1.Y]) { swap(t, t1); } int len = H[t1.Y] - H[t.Y]; for(int j = T - 1; j >= 0; j--) { if((1 << j ) <= len) { len -= (1 << j); t1.Y = lca[t1.Y][j]; } } // cout << t.Y << " " << t1.Y << "\n"; for(int i = T - 1; i >= 0; i--) { if(lca[t1.Y][i] == lca[t.Y][i]) { continue; } t1.Y = lca[t1.Y][i]; t.Y = lca[t.Y][i]; } t1.Y = lca[t1.Y][0]; //cout << t1.Y << "\n"; t.X = up[t1.Y]; // cout << t.X << "\n"; t.Y = coun(mass[t.X], 0, n, idx[t1.Y] - 1); return t.Y + 1 + 1LL * (t.X) * (t.X + 1) / 2; } void build(node* &v, int l, int r) { v -> _sz = r - l + 1; if(l == r) { return; } v -> left = new node(); v -> right = new node(); build(v -> left, l, (r + l) / 2); build(v -> right, (r + l) / 2 + 1, r); } signed main() { // ifstream cin("input1.txt.4c"); ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> m >> t; // cout << n << "\n"; mod = 1LL * (n + 1) * (n + 2) / 2; for(int i = 0; i < n; i++) { //a[i] = rand() % (i + 1) + 1; //a[i] += i * (i + 1) / 2; // cout << a[i] << " "; cin >> a[i]; } // cout << "\n"; mass[n] = new node(); build(mass[n], 0, n); //cout << "A\n"; lca[0][0] = 0; up[0] = -1; for(int i = 0; i <= n; i++) { vals[i] = i; idx[i] = i; up[i] = n; vec[i].push_back({n, i}); } it = n; for(int i = n - 1; i >= 0; i--) { a[i] -= 1LL * i * (i + 1) / 2; int u1 =go_to(mass[i + 1], 0, n, a[i] - 1); int u = go_to(mass[i + 1], 0, n, a[i]); vec[u1].push_back({i, it + 1}); idx[it + 1] = u1; g[it + 1].push_back(vals[u]); g[it + 1].push_back(vals[u1]); lca[vals[u]][0] = it + 1; lca[vals[u1]][0] = it + 1; up[it + 1] = i; vals[u1] = ++it; mass[i] = new node(); go_to1(mass[i + 1], mass[i], 0, n, u); } for(int i = 0; i <= n; i++) { sort(vec[i].begin(), vec[i].end()); } dfs(it); for(int j = 1; j < T; j++) { for(int i = 0; i <= n * 2; i++) { lca[i][j] = lca[lca[i][j - 1]][j - 1]; } } ll z = 0; for(int i = 0; i < m; i++) { ll a, b; cin >> a >> b; //a = rand() % mod + 1; //b = rand() % mod + 1; a = (a - 1 + 1LL * t * z) % mod; b = (b - 1 + 1LL * t * z) % mod; cout << (z = query(a, b)) << "\n"; } // cout << "A"; return 0; }
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