oj.uz

Submission #1020858

# Submission time Handle Problem Language Result Execution time Memory
1020858 2024-07-12T10:34:05 Z Onur_Ilgaz Izbori (COCI22_izbori) C++17
110 / 110
 676 ms 104172 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;
		// cout << "query: " << l+1 << " = ";
		int ret = sumq(1, 1, n, l + 1, n);
		// cout << ret << ".\n";
		return ret;
	}
	int sumq(int v, int l, int r, int ql, int qr) {
		if(l >= ql and r <= qr) {
			return sum[v];
		}
		push(v, l, r);
		int m = (l + r) / 2;
		int ret = 0;
		if(ql <= m) {
			ret += sumq(v * 2, l, m, ql, qr);
		}
		if(qr > m) {
			ret += sumq(v * 2 + 1, m + 1, r, ql, qr);
		}
		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;
		// cout << "HEY: " << ret / sz << " " << l << " " << r << "\n";
  		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) {
			// cout << l - n / 2 << " " << r - n / 2 << " " << tri[v] << " " << sum[v] << "\n";
			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;
			// cout << m - n / 2 << " " << ql - n / 2 << " " << lsize << ". ";
		}
		// cout << l - n / 2 << " " << r - n / 2 << " " << ret.first << " " << ret.second << "\n";
		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) {
		// cout << color++ << ":\n";
		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);
				// cout << l << " " << r << " " << ans - huh << "\n";
				// if(l == -7 and r == -2) return 0;
				t.update(l, r, 1);
			}
			else {
				t.update(pre[i], pre[i], 1);
				ans += t.normquery(pre[i - 1]);
				// cout << pre[i] << " " << t.normquery(pre[i - 1]) << "\n";
			}
		}
		t.reverse_updates();
		// cout << "\n\n";
	}
	cout << ans;
}

Compilation message

Main.cpp: In function 'int32_t main()':
Main.cpp:150:20: 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]
  150 |   for(int i = 1; i < it.size(); i++) {
      |                  ~~^~~~~~~~~~~
Main.cpp:157:20: 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]
  157 |   for(int i = 0; i < comp.size(); i++) {
      |                  ~~^~~~~~~~~~~~~
Main.cpp:165:9: warning: unused variable 'huh' [-Wunused-variable]
  165 |     int huh = ans;
      |         ^~~
Main.cpp:145:15: warning: unused variable 'color' [-Wunused-variable]
  145 |  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 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 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 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 2 ms 600 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 3 ms 1372 KB Output is correct
10 Correct 3 ms 1372 KB Output is correct
11 Correct 2 ms 1372 KB Output is correct
12 Correct 2 ms 1372 KB Output is correct
13 Correct 3 ms 1372 KB Output is correct
14 Correct 3 ms 1372 KB Output is correct
15 Correct 3 ms 1272 KB Output is correct
16 Correct 2 ms 1372 KB Output is correct
17 Correct 2 ms 1372 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 124 ms 67380 KB Output is correct
2 Correct 160 ms 86704 KB Output is correct
3 Correct 97 ms 51996 KB Output is correct
4 Correct 205 ms 94080 KB Output is correct
5 Correct 202 ms 96888 KB Output is correct
6 Correct 190 ms 102560 KB Output is correct
7 Correct 192 ms 102416 KB Output is correct
8 Correct 203 ms 102436 KB Output is correct
9 Correct 194 ms 102672 KB Output is correct
10 Correct 200 ms 102676 KB Output is correct
11 Correct 176 ms 103984 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 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 2 ms 600 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 3 ms 1372 KB Output is correct
10 Correct 3 ms 1372 KB Output is correct
11 Correct 2 ms 1372 KB Output is correct
12 Correct 2 ms 1372 KB Output is correct
13 Correct 3 ms 1372 KB Output is correct
14 Correct 3 ms 1372 KB Output is correct
15 Correct 3 ms 1272 KB Output is correct
16 Correct 2 ms 1372 KB Output is correct
17 Correct 2 ms 1372 KB Output is correct
18 Correct 124 ms 67380 KB Output is correct
19 Correct 160 ms 86704 KB Output is correct
20 Correct 97 ms 51996 KB Output is correct
21 Correct 205 ms 94080 KB Output is correct
22 Correct 202 ms 96888 KB Output is correct
23 Correct 190 ms 102560 KB Output is correct
24 Correct 192 ms 102416 KB Output is correct
25 Correct 203 ms 102436 KB Output is correct
26 Correct 194 ms 102672 KB Output is correct
27 Correct 200 ms 102676 KB Output is correct
28 Correct 176 ms 103984 KB Output is correct
29 Correct 151 ms 104172 KB Output is correct
30 Correct 131 ms 17160 KB Output is correct
31 Correct 280 ms 34536 KB Output is correct
32 Correct 676 ms 85000 KB Output is correct
33 Correct 279 ms 36688 KB Output is correct
34 Correct 310 ms 38420 KB Output is correct
35 Correct 179 ms 25036 KB Output is correct
36 Correct 104 ms 14932 KB Output is correct
37 Correct 149 ms 18148 KB Output is correct
38 Correct 249 ms 96168 KB Output is correct
39 Correct 258 ms 96068 KB Output is correct
40 Correct 240 ms 96276 KB Output is correct
41 Correct 245 ms 96540 KB Output is correct
42 Correct 247 ms 96380 KB Output is correct
43 Correct 279 ms 93160 KB Output is correct
44 Correct 275 ms 93204 KB Output is correct
45 Correct 300 ms 93408 KB Output is correct
46 Correct 280 ms 93416 KB Output is correct
47 Correct 280 ms 93260 KB Output is correct
48 Correct 371 ms 90392 KB Output is correct
49 Correct 368 ms 90384 KB Output is correct
50 Correct 339 ms 91152 KB Output is correct
51 Correct 356 ms 91156 KB Output is correct
52 Correct 409 ms 90024 KB Output is correct
53 Correct 398 ms 89748 KB Output is correct
54 Correct 379 ms 89888 KB Output is correct