oj.uz

Submission #1020867

# Submission time Handle Problem Language Result Execution time Memory
1020867 2024-07-12T10:38:16 Z Onur_Ilgaz Izbori (COCI22_izbori) C++17
110 / 110
 735 ms 104168 KB 
#include <bits/stdc++.h>
#define fast cin.tie(0)->sync_with_stdio(0);
#define int long long
#define inf ((int)1e18)
using namespace std;

struct segtree {
	int n;
	vector <int> sum, lazy, tri;
	vector <array<int, 3> > updates;
	void init(int size) {
		n = size;
		sum.resize(n * 8);
		lazy.resize(n * 8);
		tri.resize(n * 8);
	}
	inline void push(int v, int l, int r) {
		if(!lazy[v]) return;
		int m = (l + r) / 2;
		int lz = lazy[v];
		lazy[v] = 0;
		// for left
		int sz = (m - l + 1);
		sum[v * 2] += lz * sz;
		tri[v * 2] += lz * sz * (sz + 1) / 2;
		lazy[v * 2] += lz;
		// for right
		sz = (r - m);
		sum[v * 2 + 1] += lz * sz;
		tri[v * 2 + 1] += lz * sz * (sz + 1) / 2;
		lazy[v * 2 + 1] += lz;
	}
	void update(int l, int r, int val) {
		l += n / 2, r += n / 2;
		updates.push_back({l, r, val});
		// cout << "update: " << l << " " << r << " " << val << "\n";
		return range_upd(1, 1, n, l, r, val);
	}
	void range_upd(int v, int l, int r, int ul, int ur, int val) {
		// cout << v << " " << l << " " << r << " " << ul << " " << ur << " " << val << endl;
		if(l >= ul and r <= ur) {
			lazy[v] += val;
			int sz = (r - l + 1);
			sum[v] += val * sz;
			tri[v] += val * sz * (sz + 1) / 2;
			return;
		}
		push(v, l, r);
		int m = (l + r) / 2;
		if(ul <= m) {
			range_upd(v * 2, l, m, ul, ur, val);
		}
		if(ur > m) {
			range_upd(v * 2 + 1, m + 1, r, ul, ur, val);
		}
		sum[v] = sum[v * 2] + sum[v * 2 + 1];
		tri[v] = tri[v * 2] + tri[v * 2 + 1] + (m - l + 1) * sum[v * 2 + 1];
	}

	int normquery(int l) {
		l += n / 2;
		int ret = triquery(1, 1, n, l + 1, n).second;
		return ret;
	}
	int mega_brain_query(int l, int r) {
		int ret = normquery(r);
		l += n / 2, r += n / 2;
		int sz = r - l + 1;
		ret *= sz;
  		return ret + triquery(1, 1, n, l + 1, r).first;
	}
	pair<int, int> triquery(int v, int l, int r, int ql, int qr) {
		if(l >= ql and r <= qr) {
			return {tri[v], sum[v]};
		}
		push(v, l, r);
		int m = (l + r) / 2;
		pair<int, int> ret = {0, 0};
		if(ql <= m) {
			auto tmp = triquery(v * 2, l, m, ql, qr);
			ret = tmp;
		}
		if(qr > m) {
			int lsize = max(0ll, m - max(ql, l) + 1);
			auto tmp = triquery(v * 2 + 1, m + 1, r, ql, qr);
			ret.first += tmp.first + lsize * tmp.second;
			ret.second += tmp.second;
		}
		return ret;
	}
	void reverse_updates() {
		for(auto [l, r, val]:updates) {
			range_upd(1, 1, n, l, r, -val);
		}
		updates.clear();
	}
}t;

int32_t main(){
	fast
	int n;
	cin >> n;
	vector <int> arr(n);
	for(int i = 0; i < n; i++) {
		cin >> arr[i];
	}
	auto compress = [&](vector <int> &a) {
		vector <pair<int, int> > v(a.size());
		for(int i = 0; i < n; i++) {
			v[i] = {a[i], i};
		}
		sort(v.begin(), v.end());
		for(int i = 0, ind = 0; i < n; i++) {
			if(i and v[i].first != v[i - 1].first) ind++;
			a[v[i].second] = ind;
		}
	};
	compress(arr);
	vector <vector<int> > val(n, vector<int>(1, -1));
	for(int i = 0; i < n; i++) {
		val[arr[i]].push_back(i);
	}
	t.init(n * 2);
	int ans = 0, color = 0;
	for(auto &it:val) {
		if(it.size() == 1) continue;
		vector <int> comp(1), pre;
		for(int i = 1; i < it.size(); i++) {
			int l = it[i - 1] + 1;
			if(-(it[i] - l)) comp.push_back(-(it[i] - l));
			comp.push_back(1);
		}
		if(it.back() != n - 1) comp.push_back(-(n - it.back() - 1));
		int prev = 0;
		for(int i = 0; i < comp.size(); i++) {
			pre.push_back(prev += comp[i]);
		}

		int m = comp.size();
 		for(int i = m - 1; i > 0; i--) {
			if(pre[i] < pre[i - 1]) {
				int r = pre[i - 1] - 1, l = pre[i];
				int huh = ans;
				ans += t.mega_brain_query(l + 1, r + 1);
				t.update(l, r, 1);
			}
			else {
				t.update(pre[i], pre[i], 1);
				ans += t.normquery(pre[i - 1]);
			}
		}
		t.reverse_updates();
	}
	cout << ans;
}

Compilation message

Main.cpp: In function 'int32_t main()':
Main.cpp:128:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  128 |   for(int i = 1; i < it.size(); i++) {
      |                  ~~^~~~~~~~~~~
Main.cpp:135:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  135 |   for(int i = 0; i < comp.size(); i++) {
      |                  ~~^~~~~~~~~~~~~
Main.cpp:143:9: warning: unused variable 'huh' [-Wunused-variable]
  143 |     int huh = ans;
      |         ^~~
Main.cpp:124:15: warning: unused variable 'color' [-Wunused-variable]
  124 |  int ans = 0, color = 0;
      |               ^~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 3 ms 860 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 2 ms 1372 KB Output is correct
10 Correct 2 ms 1372 KB Output is correct
11 Correct 3 ms 1372 KB Output is correct
12 Correct 3 ms 1372 KB Output is correct
13 Correct 4 ms 1372 KB Output is correct
14 Correct 3 ms 1372 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 2 ms 1372 KB Output is correct
17 Correct 1 ms 1284 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 67340 KB Output is correct
2 Correct 231 ms 86664 KB Output is correct
3 Correct 108 ms 52128 KB Output is correct
4 Correct 191 ms 94052 KB Output is correct
5 Correct 205 ms 96916 KB Output is correct
6 Correct 214 ms 102420 KB Output is correct
7 Correct 237 ms 102632 KB Output is correct
8 Correct 231 ms 102420 KB Output is correct
9 Correct 255 ms 102676 KB Output is correct
10 Correct 273 ms 102676 KB Output is correct
11 Correct 174 ms 104168 KB Output is correct

Subtask #4
70.0 / 70.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 3 ms 860 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 2 ms 1372 KB Output is correct
10 Correct 2 ms 1372 KB Output is correct
11 Correct 3 ms 1372 KB Output is correct
12 Correct 3 ms 1372 KB Output is correct
13 Correct 4 ms 1372 KB Output is correct
14 Correct 3 ms 1372 KB Output is correct
15 Correct 2 ms 1372 KB Output is correct
16 Correct 2 ms 1372 KB Output is correct
17 Correct 1 ms 1284 KB Output is correct
18 Correct 157 ms 67340 KB Output is correct
19 Correct 231 ms 86664 KB Output is correct
20 Correct 108 ms 52128 KB Output is correct
21 Correct 191 ms 94052 KB Output is correct
22 Correct 205 ms 96916 KB Output is correct
23 Correct 214 ms 102420 KB Output is correct
24 Correct 237 ms 102632 KB Output is correct
25 Correct 231 ms 102420 KB Output is correct
26 Correct 255 ms 102676 KB Output is correct
27 Correct 273 ms 102676 KB Output is correct
28 Correct 174 ms 104168 KB Output is correct
29 Correct 178 ms 104160 KB Output is correct
30 Correct 156 ms 17160 KB Output is correct
31 Correct 311 ms 34472 KB Output is correct
32 Correct 735 ms 84860 KB Output is correct
33 Correct 374 ms 36784 KB Output is correct
34 Correct 359 ms 38680 KB Output is correct
35 Correct 213 ms 24812 KB Output is correct
36 Correct 144 ms 14932 KB Output is correct
37 Correct 151 ms 18148 KB Output is correct
38 Correct 352 ms 96360 KB Output is correct
39 Correct 286 ms 96292 KB Output is correct
40 Correct 277 ms 96120 KB Output is correct
41 Correct 296 ms 96536 KB Output is correct
42 Correct 326 ms 96264 KB Output is correct
43 Correct 317 ms 93320 KB Output is correct
44 Correct 326 ms 93100 KB Output is correct
45 Correct 315 ms 93232 KB Output is correct
46 Correct 388 ms 93412 KB Output is correct
47 Correct 347 ms 93276 KB Output is correct
48 Correct 509 ms 90388 KB Output is correct
49 Correct 450 ms 90136 KB Output is correct
50 Correct 422 ms 91356 KB Output is correct
51 Correct 403 ms 91116 KB Output is correct
52 Correct 473 ms 89972 KB Output is correct
53 Correct 406 ms 89620 KB Output is correct
54 Correct 420 ms 89880 KB Output is correct