Submission #792150

#TimeUsernameProblemLanguageResultExecution timeMemory
792150Nhoksocqt1Garaža (COCI17_garaza)C++17
80 / 160
4057 ms9432 KiB
#include<bits/stdc++.h> using namespace std; #define inf 0x3f3f3f3f #define sz(x) int((x).size()) #define fi first #define se second typedef long long ll; typedef pair<int, int> ii; template<class X, class Y> inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);} template<class X, class Y> inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);} mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int Random(int l, int r) { return uniform_int_distribution<int>(l, r)(rng); } const int MAXN = 100005; struct Node { ll sum; int minv, lz; } seg2[4 * MAXN]; int a[MAXN], b[MAXN], seg[4 * MAXN], posInTree[MAXN], nArr, numQuery; void build(int id, int l, int r) { if(l == r) { posInTree[l] = id; seg[id] = a[l]; seg2[id] = {b[l], b[l], -1}; return; } int mid = (l + r) >> 1; build(id << 1, l, mid); build(id << 1 | 1, mid + 1, r); seg[id] = __gcd(seg[id << 1], seg[id << 1 | 1]); seg2[id] = {seg2[id << 1].sum + seg2[id << 1 | 1].sum, min(seg2[id << 1].minv, seg2[id << 1 | 1].minv), -1}; } void update1(int pos, int val) { int id(posInTree[pos]); seg[id] = val; while(id > 1) { id >>= 1; seg[id] = __gcd(seg[id << 1], seg[id << 1 | 1]); } } int query1(int id, int l, int r, int u, int v) { if(v < l || u > r) return 0; if(u <= l && r <= v) return seg[id]; int mid = (l + r) >> 1; return __gcd(query1(id << 1, l, mid, u, v), query1(id << 1 | 1, mid + 1, r, u, v)); } void inline pushDown(int id, int l, int r) { int &lz(seg2[id].lz), mid = (l + r) >> 1; seg2[id << 1] = {1LL * (mid - l + 1) * lz, lz, lz}; seg2[id << 1 | 1] = {1LL * (r - mid) * lz, lz, lz}; lz = -1; } void update2(int id, int l, int r, int u, int v, int k) { if(v < l || u > r) return; if(u <= l && r <= v) { seg2[id] = {1LL * (r - l + 1) * k, k, k}; return; } if(seg2[id].lz != -1) pushDown(id, l, r); int mid = (l + r) >> 1; update2(id << 1, l, mid, u, v, k); update2(id << 1 | 1, mid + 1, r, u, v, k); seg2[id] = {seg2[id << 1].sum + seg2[id << 1 | 1].sum, min(seg2[id << 1].minv, seg2[id << 1 | 1].minv), -1}; } ll query2(int id, int l, int r, int u, int v) { if(v < l || u > r) return 0; if(u <= l && r <= v) return seg2[id].sum; if(seg2[id].lz != -1) pushDown(id, l, r); int mid = (l + r) >> 1; return query2(id << 1, l, mid, u, v) + query2(id << 1 | 1, mid + 1, r, u, v); } int walkOnSeg(int id, int l, int r, int u, int v, int k) { if(v < l || u > r) return v + 1; if(u <= l && r <= v) { while(l < r) { if(seg2[id].lz != -1) pushDown(id, l, r); int mid = (l + r) >> 1; if(seg2[id << 1 | 1].minv >= k) { id = id << 1; r = mid; } else { id = id << 1 | 1; l = mid + 1; } } return (seg2[id].minv >= k) ? l : l + 1; } if(seg2[id].lz != -1) pushDown(id, l, r); int mid = (l + r) >> 1; int qr = walkOnSeg(id << 1 | 1, mid + 1, r, u, v, k); if(qr > mid + 1) return qr; return min(qr, walkOnSeg(id << 1, l, mid, u, v, k)); } inline ll C2(int n) { return 1LL * n * (n + 1) / 2; } void process() { cin >> nArr >> numQuery; for (int i = 1; i <= nArr; ++i) { cin >> a[i]; } build(1, 1, nArr); for (int i = 1; i <= nArr; ++i) { b[i] = i - 1; if(a[i] == 1) continue; int l(i + 1), r(nArr), opt(i); while(l <= r) { int mid = (l + r) >> 1; if(query1(1, 1, nArr, i, mid) > 1) { opt = mid; l = mid + 1; } else { r = mid - 1; } } b[i] = opt; } build(1, 1, nArr); for (int t = 0; t < numQuery; ++t) { int type, L, R, x; cin >> type >> L >> R; if(type == 1) { update1(L, R); a[(x = L)] = R; int gcdNow(a[x]); while(x > 0 && gcdNow > 1) { int l(1), r(x - 1), opt(x); while(l <= r) { int mid = (l + r) >> 1; if(query1(1, 1, nArr, mid, x) == gcdNow) { opt = mid; r = mid - 1; } else { l = mid + 1; } } int tmp(opt); l = L + 1, r = nArr, opt = L; while(l <= r) { int mid = (l + r) >> 1; if(query1(1, 1, nArr, tmp, mid) > 1) { opt = mid; l = mid + 1; } else { r = mid - 1; } } update2(1, 1, nArr, tmp, x, opt); //cout << '.' << tmp << ' ' << x << ' ' << opt << '\n'; x = tmp - 1; if(x > 0) gcdNow = __gcd(gcdNow, a[x]); } if(x > 0) { int pos = walkOnSeg(1, 1, nArr, 1, x, L); //cout << '.' << pos << ' ' << x << ' ' << L - 1 << '\n'; if(pos <= x) update2(1, 1, nArr, pos, x, L - 1); } } else { ll result(0); int pos = walkOnSeg(1, 1, nArr, L, R, R); //cout << L << ' ' << R << ' ' << pos << '\n'; if(pos <= R) result += 1LL * (R - pos + 1) * (R + 1) - (C2(R) - C2(pos - 1)); if(L < pos) result += query2(1, 1, nArr, L, pos - 1) - (C2(pos - 1) - C2(L - 1)) + (pos - L); cout << result << '\n'; } } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); process(); return 0; }
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