Submission #674960

# Submission time Handle Problem Language Result Execution time Memory
674960 2022-12-26T17:22:55 Z QwertyPi RMQ (NOI17_rmq) C++14
100 / 100
229 ms 12728 KB
#include <bits/stdc++.h>
#define fi first
#define se second

using namespace std;

const int MAXN = 1e5 + 11;
struct SegTree{
	int t[MAXN << 2];
	void init() {
		fill(t, t + (MAXN << 2), -1);
	}
	void upd(int ql, int qr, int val, int v, int l, int r){
		if(qr < l || r < ql) return;
		if(ql <= l && r <= qr){
			t[v] = max(t[v], val);
			return;
		}
		t[v * 2 + 1] = max(t[v], t[v * 2 + 1]);
		t[v * 2 + 2] = max(t[v], t[v * 2 + 2]);
		int m = (l + r) / 2;
		upd(ql, qr, val, v * 2 + 1, l, m);
		upd(ql, qr, val, v * 2 + 2, m + 1, r);
		t[v] = min(t[v * 2 + 1], t[v * 2 + 2]);
	}
	
	int qry(int ql, int qr, int v, int l, int r){
		if(qr < l || r < ql) return (1 << 30);
		if(ql <= l && r <= qr) return t[v];
		t[v * 2 + 1] = max(t[v], t[v * 2 + 1]);
		t[v * 2 + 2] = max(t[v], t[v * 2 + 2]);
		int m = (l + r) / 2;
		return min(qry(ql, qr, v * 2 + 1, l, m), qry(ql, qr, v * 2 + 2, m + 1, r));
	}
} segTree, segTree2;

struct con{
	int l, r, m;
};

vector<con> Q[MAXN];
int ans[MAXN];
bool used[MAXN], used2[MAXN];
int l[MAXN], r[MAXN];
int ll[MAXN], rr[MAXN];
int main(){
	segTree.init(); segTree2.init();
	int n, q; cin >> n >> q;
	fill(ans, ans + n, -1);
	vector<con> cons;
	for(int i = 0; i < q; i++){
		int l, r, m; cin >> l >> r >> m;
		cons.push_back({l, r, m});
		Q[m].push_back({l, r, m});
		segTree.upd(l, r, m, 0, 0, n - 1);
	}
	
	auto die = [&n](){
		for(int i = 0; i < n; i++){
			cout << -1 << ' ';
		}
		cout << endl;
		exit(0);
	};
	
	for(int i = 0; i < q; i++){
		int q = segTree.qry(cons[i].l, cons[i].r, 0, 0, n - 1);
		if(q > cons[i].m) die();
	}
	
	vector<con> cons2;
	for(int i = 0; i < n; i++){
		int l = 0, r = n - 1;
		for(auto c : Q[i]){
			l = max(l, c.l), r = min(r, c.r);
		}
		if(l > r) die();
		ll[i] = l, rr[i] = r;
	}
	
	for(int i = 0; i < n; i++){
		l[i] = 1 << 30, r[i] = -1 << 30;
	}
	
	for(int i = 0; i < n; i++){
		int v = segTree.qry(i, i, 0, 0, n - 1);
		if(v == -1) continue;
		if(ll[v] <= i && i <= rr[v]){
			l[v] = min(l[v], i), r[v] = max(r[v], i);
		}
	}
	
	for(int i = 0; i < n; i++){
		if(Q[i].size()){
			if(l[i] > r[i]) die();
			cons2.push_back({l[i], r[i], i});
		}
	}
	
	sort(cons2.begin(), cons2.end(), [](con a, con b){
		return a.r - a.l < b.r - b.l;
	});
	
	auto give = [](int idx, int val){
		used[idx] = true, used2[val] = true;
		ans[idx] = val;
	};
	
	for(auto i : cons2){
		for(int j = i.l; j <= i.r; j++){
			if(!used[j]) {
				give(j, i.m);
				break; 
			}
		}
	}
	
	priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
	for(int i = 0; i < n; i++) if(!used[i]) pq.push({segTree.qry(i, i, 0, 0, n - 1), i});
	for(int i = 0; i < n; i++) if(!used2[i]) {
		auto p = pq.top(); pq.pop();
		ans[p.se] = i;
	}
	
	for(int i = 0; i < n; i++) segTree2.upd(i, i, ans[i], 0, 0, n - 1);
	for(int i = 0; i < q; i++){
		int q = segTree2.qry(cons[i].l, cons[i].r, 0, 0, n - 1);
		if(q != cons[i].m) die();
	}
	for(int i = 0; i < n; i++) cout << ans[i] << ' '; cout << endl;
}

Compilation message

rmq.cpp: In function 'int main()':
rmq.cpp:130:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  130 |  for(int i = 0; i < n; i++) cout << ans[i] << ' '; cout << endl;
      |  ^~~
rmq.cpp:130:52: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  130 |  for(int i = 0; i < n; i++) cout << ans[i] << ' '; cout << endl;
      |                                                    ^~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5716 KB Output is correct
2 Correct 3 ms 5788 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 3 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct
8 Correct 3 ms 5792 KB Output is correct
9 Correct 3 ms 5716 KB Output is correct
10 Correct 3 ms 5716 KB Output is correct
11 Correct 3 ms 5788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5716 KB Output is correct
2 Correct 3 ms 5788 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 3 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct
8 Correct 3 ms 5792 KB Output is correct
9 Correct 3 ms 5716 KB Output is correct
10 Correct 3 ms 5716 KB Output is correct
11 Correct 3 ms 5788 KB Output is correct
12 Correct 4 ms 5844 KB Output is correct
13 Correct 4 ms 5844 KB Output is correct
14 Correct 4 ms 5796 KB Output is correct
15 Correct 4 ms 5844 KB Output is correct
16 Correct 4 ms 5844 KB Output is correct
17 Correct 4 ms 5844 KB Output is correct
18 Correct 4 ms 5796 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 3 ms 5844 KB Output is correct
21 Correct 3 ms 5844 KB Output is correct
22 Correct 3 ms 5716 KB Output is correct
23 Correct 3 ms 5716 KB Output is correct
24 Correct 4 ms 5800 KB Output is correct
25 Correct 3 ms 5716 KB Output is correct
26 Correct 3 ms 5716 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 5716 KB Output is correct
2 Correct 3 ms 5788 KB Output is correct
3 Correct 3 ms 5716 KB Output is correct
4 Correct 3 ms 5716 KB Output is correct
5 Correct 3 ms 5716 KB Output is correct
6 Correct 3 ms 5716 KB Output is correct
7 Correct 3 ms 5716 KB Output is correct
8 Correct 3 ms 5792 KB Output is correct
9 Correct 3 ms 5716 KB Output is correct
10 Correct 3 ms 5716 KB Output is correct
11 Correct 3 ms 5788 KB Output is correct
12 Correct 4 ms 5844 KB Output is correct
13 Correct 4 ms 5844 KB Output is correct
14 Correct 4 ms 5796 KB Output is correct
15 Correct 4 ms 5844 KB Output is correct
16 Correct 4 ms 5844 KB Output is correct
17 Correct 4 ms 5844 KB Output is correct
18 Correct 4 ms 5796 KB Output is correct
19 Correct 4 ms 5844 KB Output is correct
20 Correct 3 ms 5844 KB Output is correct
21 Correct 3 ms 5844 KB Output is correct
22 Correct 3 ms 5716 KB Output is correct
23 Correct 3 ms 5716 KB Output is correct
24 Correct 4 ms 5800 KB Output is correct
25 Correct 3 ms 5716 KB Output is correct
26 Correct 3 ms 5716 KB Output is correct
27 Correct 229 ms 12500 KB Output is correct
28 Correct 187 ms 12608 KB Output is correct
29 Correct 155 ms 11308 KB Output is correct
30 Correct 201 ms 12728 KB Output is correct
31 Correct 160 ms 11268 KB Output is correct
32 Correct 188 ms 11300 KB Output is correct
33 Correct 48 ms 8524 KB Output is correct
34 Correct 34 ms 7800 KB Output is correct
35 Correct 71 ms 9428 KB Output is correct
36 Correct 74 ms 8980 KB Output is correct
37 Correct 112 ms 10212 KB Output is correct
38 Correct 8 ms 6212 KB Output is correct
39 Correct 87 ms 9348 KB Output is correct
40 Correct 3 ms 5716 KB Output is correct
41 Correct 3 ms 5792 KB Output is correct