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#1530. 【2022 正睿 NOIP 十连测 Day 2】砝码称重(weight)
https://sjzezoj.com/submission/60512
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S2OJ/1530/1530.cpp
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S2OJ/1530/1530.cpp
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#include <iostream>
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#include <algorithm>
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#include <map>
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#include <tuple>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e6 + 5,
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M = 1e5 + 5;
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int n, m, q, cnt, a[N];
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std::map<int, int> map;
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std::tuple<int, int, int, int> ops[N];
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bool f[(1 << 10) + 5][M];
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struct node {
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int l, r, d, s;
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node(int _l = 0, int _r = 0)
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: l(_l), r(_r), d(0), s(0) {}
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} tr[N << 2];
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void pushup(int u) {
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tr[u].s = tr[u << 1].s | tr[u << 1 | 1].s;
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}
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void pushdown(int u) {
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if (!tr[u].d) return;
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tr[u << 1].s = tr[u << 1 | 1].s = 1 << map[tr[u].d];
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tr[u << 1].d = tr[u << 1 | 1].d = tr[u].d;
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tr[u].d = 0;
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}
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void build(int u, int l, int r) {
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tr[u] = node(l, r);
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if (l == r) {
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tr[u].s = 1 << map[a[l]];
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return;
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}
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int mid = (l + r) >> 1;
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build(u << 1, l, mid);
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build(u << 1 | 1, mid + 1, r);
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pushup(u);
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}
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void modify(int u, int l, int r, int x) {
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if (l <= tr[u].l && tr[u].r <= r) {
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tr[u].s = 1 << map[x];
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tr[u].d = x;
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return;
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}
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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if (l <= mid) modify(u << 1, l, r, x);
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if (r > mid) modify(u << 1 | 1, l, r, x);
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pushup(u);
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}
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int query(int u, int l, int r) {
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if (l <= tr[u].l && tr[u].r <= r) return tr[u].s;
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pushdown(u);
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int mid = (tr[u].l + tr[u].r) >> 1;
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int res = 0;
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if (l <= mid) res |= query(u << 1, l, r);
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if (r > mid) res |= query(u << 1 | 1, l, r);
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return res;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m >> q;
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for (int i = 1; i <= n; i++) {
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cin >> a[i];
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if (!map.count(a[i])) map[a[i]] = -1;
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}
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for (int i = 1, op, l, r, x; i <= q; i++) {
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cin >> op >> l >> r >> x;
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if (op == 1) {
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if (!map.count(x)) map[x] = -1;
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}
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ops[i] = std::make_tuple(op, l, r, x);
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}
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std::vector<int> nums;
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for (auto &item : map) {
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nums.emplace_back(item.first);
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item.second = cnt++;
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}
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f[0][0] = true;
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for (int s = 1; s < 1 << cnt; s++) {
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int p = __builtin_ctz(s);
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for (int i = 0; i <= m; i++) {
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f[s][i] |= f[s ^ (1 << p)][i];
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}
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for (int i = nums[p]; i <= m; i++) {
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f[s][i] |= f[s][i - nums[p]];
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}
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}
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build(1, 1, n);
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for (int i = 1, op, l, r, x; i <= q; i++) {
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std::tie(op, l, r, x) = ops[i];
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if (op == 1) {
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modify(1, l, r, x);
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} else { // op == 2
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int s = query(1, l, r);
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cout << (f[s][x] ? "Yes" : "No") << endl;
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}
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}
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return 0;
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}
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