Submission #627826

# Submission time Handle Problem Language Result Execution time Memory
627826 2022-08-12T23:50:26 Z Noam527 Radio Towers (IOI22_towers) C++17
100 / 100
2318 ms 103924 KB
#include "towers.h"
#include <bits/stdc++.h>
const int OO = 0;
typedef long long ll;
using namespace std;

struct info {
	int len[2][2];
	int l, r;
	info(int x = -1, int i = 0) {
		len[0][0] = len[1][1] = -1e9;
		len[0][1] = len[1][0] = -1e9;
		l = 1e9, r = -1e9;
		if (x == 0) {
			l = r = i;
			len[0][0] = 1;
		}
		if (x == 1) {
			l = r = i;
			len[1][1] = 1;
		}
	}
	info operator * (const info &a) const {
		info res;
		res.l = min(l, a.l);
		res.r = max(r, a.r);
		for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) {
			res.len[i][j] = max(max(res.len[i][j], len[i][j]), a.len[i][j]);
		}
		for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) for (int k = 0; k < 2; k++) {
			res.len[i][k] = max(res.len[i][k], len[i][j] + a.len[1 ^ j][k]);
		}
		return res;
	}
	void print() {
		for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) {
			cout << i << " -> " << j << ": " << len[i][j] << '\n';
		}
	}
};
struct node {
	vector<pair<int, info>> data;
	node() {
		data.emplace_back(0, info());
	}
	void add(int tim, info i) {
		if (data.size() && data.back().first == tim)
			data.back().second = i;
		else
			data.emplace_back(tim, i);
	}
	info& get(int tim) {
		tim = max(tim, 0);
		int lo = 0, hi = (int)data.size() - 1, mid;
		while (lo < hi) {
			mid = (lo + hi + 1) / 2;
			if (data[mid].first <= tim) lo = mid;
			else hi = mid - 1;
		}
		return data[lo].second;
	}
};

struct segtree {
	int n;
	int tim;
	vector<node> t;
	vector<pair<int, int>> range;
	segtree() {}
	segtree(int sz) {
		tim = 0;
		n = max(2, sz);
		while (n != (n & -n)) n += (n & -n);
		t.resize(2 * n, node());
	}
	void advance_time(int newtim) {
		tim = max(tim, newtim);
	}
	void fix(int x) {
		t[x].add(tim, t[2 * x + 1].get(tim) * t[2 * x + 2].get(tim));
	}
	void upd(int x, int val) {
		if (OO) cout << "upd " << x << " " << val << '\n';
		x += n - 1;
		t[x].add(tim, info(val, x - (n - 1)));
		while (x) {
			x = (x - 1) / 2;
			fix(x);
		}
	}
	int is_alive(int i, int T) {
		info tmp = t[i + n - 1].get(T);
		if (tmp.len[0][0] == 1 || tmp.len[1][1] == 1) return 1;
		return 0;
	}
	info query(int l, int r, int T) {
		if (l > r) return info();
		return query(l, r, T, 0, 0, n - 1);
	}
	info query(int l, int r, int T, int node, int nl, int nr) {
		if (nr < l || r < nl) return info();
		if (l <= nl && nr <= r) return t[node].get(T);
		int mid = (nl + nr) / 2;
		return query(l, r, T, 2 * node + 1, nl, mid) * query(l, r, T, 2 * node + 2, mid + 1, nr);
	}
};

struct sptable {
	int n;
	vector<int> a;
	vector<int> mn, mx;
	sptable() {}
	sptable(const vector<int> &b) {
		a = b;
		n = max(2, (int)a.size());
		while (n != (n & -n)) n += (n & -n);
		mn.resize(2 * n);
		mx.resize(2 * n);
		for (int i = 0; i < a.size(); i++)
			mn[i + n - 1] = mx[i + n - 1] = a[i];
		for (int i = n - 2; i >= 0; i--)
			mn[i] = min(mn[2 * i + 1], mn[2 * i + 2]), mx[i] = max(mx[2 * i + 1], mx[2 * i + 2]);
	}
	pair<int, int> query(int l, int r) {
		if (l > r) return{ 1e9, -1e9 };
		int mnres = 1e9, mxres = -1e9;
		for (l += n - 1, r += n - 1; l < r; l = (l - 1) / 2, r = (r - 1) / 2) {
			if (!(l & 1)) {
				mnres = min(mnres, mn[l]);
				mxres = max(mxres, mx[l]);
				l++;
			}
			if (r & 1) {
				mnres = min(mnres, mn[r]);
				mxres = max(mxres, mx[r]);
				r--;
			}
		}
		if (l == r) {
			mnres = min(mnres, mn[l]);
			mxres = max(mxres, mx[l]);
		}
		return{ mnres, mxres };
	}
};

struct superset {
	int n;
	vector<int> a;
	set<int> ind;
	set<pair<int, int>> q;
	superset() {}
	superset(const vector<int> &b) {
		a = b;
		n = a.size();
		for (int i = 0; i < n; i++)
			ind.insert(i);
		for (int i = 0; i + 1 < n; i++)
			q.emplace(abs(a[i] - a[i + 1]), i);
	}
	set<pair<int, int>>::iterator getq_element(set<int>::iterator it) {
		// assuming it exists
		return q.lower_bound(pair<int, int>(abs(a[*it] - a[*next(it)]), *it));
	}
	int upto(int R) {
		auto it = ind.upper_bound(R);
		if (it == ind.begin()) return -1;
		return *prev(it);
	}
	int atleast(int L) {
		auto it = ind.lower_bound(L);
		if (it == ind.end()) return 1e9;
		return *it;
	}
	// data kept between exchanges
	int last_min;
	set<int>::iterator last_i, last_j, last_k;

	int size() {
		return ind.size();
	}
	int get_min() {
		return last_min = q.begin()->first;
	}
	void get_triple() {
		auto p = *q.begin();
		auto it = ind.lower_bound(p.second);
		if (it == ind.begin())
			last_i = it;
		else
			last_i = prev(it);
		last_j = next(last_i);
		last_k = next(last_j);
	}
	void remove(int &removed_index, int &i, int &j) {
		int mx = max(max(a[*last_i], a[*last_j]), a[*last_k]);
		int mn = min(min(a[*last_i], a[*last_j]), a[*last_k]);
		int median = (ll)a[*last_i] + (ll)a[*last_j] + (ll)a[*last_k] - mn - mx;
		set<int>::iterator it;
		if (median == a[*last_i]) it = last_i;
		else if (median == a[*last_j]) it = last_j;
		else it = last_k;

		removed_index = *it;
		if (it == ind.begin()) i = -1;
		else i = *prev(it);
		if (next(it) == ind.end()) j = -1;
		else j = *next(it);

		// update q
		if (i == -1) {
			q.erase(getq_element(it));
		}
		else if (j == -1) {
			q.erase(getq_element(prev(it)));
		}
		else {
			q.erase(getq_element(prev(it)));
			q.erase(getq_element(it));
			q.insert(pair<int, int>(abs(a[i] - a[j]), i));
		}
		// update ind
		ind.erase(it);
	}
};

int n;
vector<int> h;
superset ind;

segtree T;
sptable table;

void init(int N, std::vector<int> H) {
	n = N;
	h = H;
	ind = superset(h);
	T = segtree(n);
	table = sptable(h);
	for (int i = 0; i + 1 < n; i++)
		if (h[i] < h[i + 1])
			T.upd(i, 0);
		else
			T.upd(i, 1);
	while (ind.size() > 2) {
		int d = ind.get_min();

		T.advance_time(d);
		ind.get_triple();
		int index, li, ri;
		ind.remove(index, li, ri);
		T.upd(index, -1);
		if (li != -1) {
			if (ri == -1) {
				T.upd(li, -1);
			}
			else {
				if (h[li] < h[ri])
					T.upd(li, 0);
				else
					T.upd(li, 1);
			}
		}
		if (OO) {
			cout << "at d = " << d << ", remove li ri " << index << " " << li << " " << ri << '\n';
		}
	}
}

int bruteforce(int l, int r, int d) {
	int len = r - l + 1;
	int best = 0;
	for (int mask = 0; mask < (1 << len); mask++) {
		vector<int> val;
		for (int i = l; i <= r; i++) {
			if (mask & (1 << (i - l)))
				val.push_back(h[i]);
		}
		if (val.size() % 2 == 0) continue;
		bool good = true;
		for (int i = 0; i + 1 < val.size(); i++) {
			if (i % 2 == 0 && val[i] + d > val[i + 1]) good = false;
			if (i % 2 == 1 && val[i] - d < val[i + 1]) good = false;
		}
		if (good)
			best = max(best, (int)val.size() / 2 + 1);
	}
	return best;
}

int max_towers(int L, int R, int D) {
	int tim = D - 1;

	// fix L, R
	info q = T.query(L, R, tim);
	int l = q.l;
	int r = q.r;
	if (OO) {
		cout << "l r " << l << " " << r << '\n';
	}

	// break into cases - and also don't forget to consider the boundaries
	if (r < l) {
		// nothing in between - this is a monotonic range
		return 1;
	}
	q = T.query(l, r - 1, tim);
	if (OO) {
		cout << "from query received:\n";
		q.print();
	}
	if (L < l) {
		// consider left boundary
		info boundary = info();
		auto pa = table.query(L, l - 1);
		if (pa.first + D <= h[l])
			boundary = info(0);
		else if (pa.second - D >= h[l])
			boundary = info(1);
		q = boundary * q;
	}
	if (r < R) {
		// consider right boundary
		info boundary = info();
		auto pa = table.query(r + 1, R);
		if (h[r] - D >= pa.first)
			boundary = info(1);
		else if (h[r] + D <= pa.second)
			boundary = info(0);
		q = q * boundary;
	}
	return max(1, q.len[0][1] / 2 + 1);
}

Compilation message

towers.cpp: In constructor 'sptable::sptable(const std::vector<int>&)':
towers.cpp:119:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  119 |   for (int i = 0; i < a.size(); i++)
      |                   ~~^~~~~~~~~~
towers.cpp: In function 'int bruteforce(int, int, int)':
towers.cpp:281:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  281 |   for (int i = 0; i + 1 < val.size(); i++) {
      |                   ~~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1018 ms 59680 KB Output is correct
2 Correct 2089 ms 102652 KB Output is correct
3 Correct 2080 ms 102212 KB Output is correct
4 Correct 1970 ms 103068 KB Output is correct
5 Correct 2033 ms 103344 KB Output is correct
6 Correct 2237 ms 103048 KB Output is correct
7 Correct 2217 ms 103420 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 7 ms 2000 KB Output is correct
10 Correct 8 ms 1996 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 464 KB Output is correct
2 Correct 7 ms 1616 KB Output is correct
3 Correct 7 ms 1488 KB Output is correct
4 Correct 6 ms 1360 KB Output is correct
5 Correct 6 ms 1360 KB Output is correct
6 Correct 6 ms 1472 KB Output is correct
7 Correct 7 ms 1488 KB Output is correct
8 Correct 7 ms 2000 KB Output is correct
9 Correct 7 ms 2000 KB Output is correct
10 Correct 8 ms 2112 KB Output is correct
11 Correct 7 ms 2048 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 8 ms 1996 KB Output is correct
14 Correct 7 ms 2000 KB Output is correct
15 Correct 6 ms 1488 KB Output is correct
16 Correct 6 ms 1452 KB Output is correct
17 Correct 7 ms 1484 KB Output is correct
18 Correct 9 ms 2008 KB Output is correct
19 Correct 7 ms 2000 KB Output is correct
20 Correct 7 ms 1488 KB Output is correct
21 Correct 6 ms 1360 KB Output is correct
22 Correct 6 ms 1432 KB Output is correct
23 Correct 6 ms 2000 KB Output is correct
24 Correct 7 ms 2000 KB Output is correct
25 Correct 3 ms 848 KB Output is correct
26 Correct 6 ms 1616 KB Output is correct
27 Correct 7 ms 1560 KB Output is correct
28 Correct 6 ms 1488 KB Output is correct
29 Correct 7 ms 1484 KB Output is correct
30 Correct 6 ms 1360 KB Output is correct
31 Correct 6 ms 1432 KB Output is correct
32 Correct 7 ms 2000 KB Output is correct
33 Correct 8 ms 2128 KB Output is correct
34 Correct 8 ms 2000 KB Output is correct
35 Correct 7 ms 2092 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 464 KB Output is correct
2 Correct 7 ms 1616 KB Output is correct
3 Correct 7 ms 1488 KB Output is correct
4 Correct 6 ms 1360 KB Output is correct
5 Correct 6 ms 1360 KB Output is correct
6 Correct 6 ms 1472 KB Output is correct
7 Correct 7 ms 1488 KB Output is correct
8 Correct 7 ms 2000 KB Output is correct
9 Correct 7 ms 2000 KB Output is correct
10 Correct 8 ms 2112 KB Output is correct
11 Correct 7 ms 2048 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 8 ms 1996 KB Output is correct
14 Correct 7 ms 2000 KB Output is correct
15 Correct 6 ms 1488 KB Output is correct
16 Correct 6 ms 1452 KB Output is correct
17 Correct 7 ms 1484 KB Output is correct
18 Correct 9 ms 2008 KB Output is correct
19 Correct 7 ms 2000 KB Output is correct
20 Correct 7 ms 1488 KB Output is correct
21 Correct 6 ms 1360 KB Output is correct
22 Correct 6 ms 1432 KB Output is correct
23 Correct 6 ms 2000 KB Output is correct
24 Correct 7 ms 2000 KB Output is correct
25 Correct 3 ms 848 KB Output is correct
26 Correct 6 ms 1616 KB Output is correct
27 Correct 7 ms 1560 KB Output is correct
28 Correct 6 ms 1488 KB Output is correct
29 Correct 7 ms 1484 KB Output is correct
30 Correct 6 ms 1360 KB Output is correct
31 Correct 6 ms 1432 KB Output is correct
32 Correct 7 ms 2000 KB Output is correct
33 Correct 8 ms 2128 KB Output is correct
34 Correct 8 ms 2000 KB Output is correct
35 Correct 7 ms 2092 KB Output is correct
36 Correct 486 ms 49188 KB Output is correct
37 Correct 869 ms 82268 KB Output is correct
38 Correct 892 ms 82340 KB Output is correct
39 Correct 826 ms 74996 KB Output is correct
40 Correct 842 ms 74888 KB Output is correct
41 Correct 807 ms 74780 KB Output is correct
42 Correct 805 ms 74840 KB Output is correct
43 Correct 1048 ms 103224 KB Output is correct
44 Correct 1073 ms 103380 KB Output is correct
45 Correct 1055 ms 103132 KB Output is correct
46 Correct 988 ms 103496 KB Output is correct
47 Correct 857 ms 82364 KB Output is correct
48 Correct 773 ms 75064 KB Output is correct
49 Correct 790 ms 74928 KB Output is correct
50 Correct 982 ms 103320 KB Output is correct
51 Correct 962 ms 103524 KB Output is correct
52 Correct 872 ms 82260 KB Output is correct
53 Correct 744 ms 74940 KB Output is correct
54 Correct 768 ms 74924 KB Output is correct
55 Correct 969 ms 103136 KB Output is correct
56 Correct 948 ms 103384 KB Output is correct
57 Correct 830 ms 80108 KB Output is correct
58 Correct 853 ms 82400 KB Output is correct
59 Correct 864 ms 82192 KB Output is correct
60 Correct 733 ms 75060 KB Output is correct
61 Correct 777 ms 74960 KB Output is correct
62 Correct 748 ms 74860 KB Output is correct
63 Correct 743 ms 74992 KB Output is correct
64 Correct 929 ms 103388 KB Output is correct
65 Correct 943 ms 103764 KB Output is correct
66 Correct 993 ms 103120 KB Output is correct
67 Correct 974 ms 103924 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1831 ms 81956 KB Output is correct
2 Correct 2073 ms 82176 KB Output is correct
3 Correct 2193 ms 82372 KB Output is correct
4 Correct 1895 ms 74924 KB Output is correct
5 Correct 1895 ms 74768 KB Output is correct
6 Correct 1998 ms 74956 KB Output is correct
7 Correct 2050 ms 74716 KB Output is correct
8 Correct 2149 ms 103576 KB Output is correct
9 Correct 2170 ms 103696 KB Output is correct
10 Correct 2253 ms 102804 KB Output is correct
11 Correct 2252 ms 103452 KB Output is correct
12 Correct 2318 ms 103084 KB Output is correct
13 Correct 2260 ms 103360 KB Output is correct
14 Correct 1 ms 208 KB Output is correct
15 Correct 7 ms 2000 KB Output is correct
16 Correct 7 ms 2000 KB Output is correct
17 Correct 895 ms 82336 KB Output is correct
18 Correct 772 ms 74980 KB Output is correct
19 Correct 723 ms 74936 KB Output is correct
20 Correct 975 ms 103492 KB Output is correct
21 Correct 935 ms 103544 KB Output is correct
22 Correct 836 ms 82304 KB Output is correct
23 Correct 754 ms 74904 KB Output is correct
24 Correct 767 ms 75004 KB Output is correct
25 Correct 955 ms 103140 KB Output is correct
26 Correct 966 ms 103336 KB Output is correct
27 Correct 6 ms 1488 KB Output is correct
28 Correct 7 ms 1464 KB Output is correct
29 Correct 6 ms 1488 KB Output is correct
30 Correct 7 ms 2000 KB Output is correct
31 Correct 6 ms 2000 KB Output is correct
32 Correct 6 ms 1616 KB Output is correct
33 Correct 6 ms 1488 KB Output is correct
34 Correct 6 ms 1360 KB Output is correct
35 Correct 8 ms 2000 KB Output is correct
36 Correct 6 ms 2000 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 400 ms 19004 KB Output is correct
2 Correct 1930 ms 82236 KB Output is correct
3 Correct 1938 ms 82184 KB Output is correct
4 Correct 1834 ms 74864 KB Output is correct
5 Correct 1905 ms 74948 KB Output is correct
6 Correct 1853 ms 74992 KB Output is correct
7 Correct 1778 ms 74980 KB Output is correct
8 Correct 1814 ms 103236 KB Output is correct
9 Correct 1752 ms 103040 KB Output is correct
10 Correct 1781 ms 102992 KB Output is correct
11 Correct 1859 ms 103392 KB Output is correct
12 Correct 819 ms 82244 KB Output is correct
13 Correct 792 ms 74848 KB Output is correct
14 Correct 781 ms 74924 KB Output is correct
15 Correct 921 ms 103148 KB Output is correct
16 Correct 959 ms 103364 KB Output is correct
17 Correct 790 ms 80168 KB Output is correct
18 Correct 825 ms 82472 KB Output is correct
19 Correct 861 ms 82252 KB Output is correct
20 Correct 733 ms 74768 KB Output is correct
21 Correct 739 ms 74864 KB Output is correct
22 Correct 723 ms 74796 KB Output is correct
23 Correct 726 ms 74992 KB Output is correct
24 Correct 932 ms 103388 KB Output is correct
25 Correct 930 ms 103624 KB Output is correct
26 Correct 942 ms 103380 KB Output is correct
27 Correct 934 ms 103812 KB Output is correct
28 Correct 9 ms 1548 KB Output is correct
29 Correct 7 ms 1360 KB Output is correct
30 Correct 7 ms 1360 KB Output is correct
31 Correct 7 ms 2000 KB Output is correct
32 Correct 7 ms 2000 KB Output is correct
33 Correct 3 ms 848 KB Output is correct
34 Correct 6 ms 1616 KB Output is correct
35 Correct 6 ms 1616 KB Output is correct
36 Correct 6 ms 1500 KB Output is correct
37 Correct 6 ms 1464 KB Output is correct
38 Correct 6 ms 1360 KB Output is correct
39 Correct 6 ms 1360 KB Output is correct
40 Correct 6 ms 2000 KB Output is correct
41 Correct 9 ms 2128 KB Output is correct
42 Correct 7 ms 2028 KB Output is correct
43 Correct 6 ms 2048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 464 KB Output is correct
2 Correct 7 ms 1616 KB Output is correct
3 Correct 7 ms 1488 KB Output is correct
4 Correct 6 ms 1360 KB Output is correct
5 Correct 6 ms 1360 KB Output is correct
6 Correct 6 ms 1472 KB Output is correct
7 Correct 7 ms 1488 KB Output is correct
8 Correct 7 ms 2000 KB Output is correct
9 Correct 7 ms 2000 KB Output is correct
10 Correct 8 ms 2112 KB Output is correct
11 Correct 7 ms 2048 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 8 ms 1996 KB Output is correct
14 Correct 7 ms 2000 KB Output is correct
15 Correct 6 ms 1488 KB Output is correct
16 Correct 6 ms 1452 KB Output is correct
17 Correct 7 ms 1484 KB Output is correct
18 Correct 9 ms 2008 KB Output is correct
19 Correct 7 ms 2000 KB Output is correct
20 Correct 7 ms 1488 KB Output is correct
21 Correct 6 ms 1360 KB Output is correct
22 Correct 6 ms 1432 KB Output is correct
23 Correct 6 ms 2000 KB Output is correct
24 Correct 7 ms 2000 KB Output is correct
25 Correct 3 ms 848 KB Output is correct
26 Correct 6 ms 1616 KB Output is correct
27 Correct 7 ms 1560 KB Output is correct
28 Correct 6 ms 1488 KB Output is correct
29 Correct 7 ms 1484 KB Output is correct
30 Correct 6 ms 1360 KB Output is correct
31 Correct 6 ms 1432 KB Output is correct
32 Correct 7 ms 2000 KB Output is correct
33 Correct 8 ms 2128 KB Output is correct
34 Correct 8 ms 2000 KB Output is correct
35 Correct 7 ms 2092 KB Output is correct
36 Correct 486 ms 49188 KB Output is correct
37 Correct 869 ms 82268 KB Output is correct
38 Correct 892 ms 82340 KB Output is correct
39 Correct 826 ms 74996 KB Output is correct
40 Correct 842 ms 74888 KB Output is correct
41 Correct 807 ms 74780 KB Output is correct
42 Correct 805 ms 74840 KB Output is correct
43 Correct 1048 ms 103224 KB Output is correct
44 Correct 1073 ms 103380 KB Output is correct
45 Correct 1055 ms 103132 KB Output is correct
46 Correct 988 ms 103496 KB Output is correct
47 Correct 857 ms 82364 KB Output is correct
48 Correct 773 ms 75064 KB Output is correct
49 Correct 790 ms 74928 KB Output is correct
50 Correct 982 ms 103320 KB Output is correct
51 Correct 962 ms 103524 KB Output is correct
52 Correct 872 ms 82260 KB Output is correct
53 Correct 744 ms 74940 KB Output is correct
54 Correct 768 ms 74924 KB Output is correct
55 Correct 969 ms 103136 KB Output is correct
56 Correct 948 ms 103384 KB Output is correct
57 Correct 830 ms 80108 KB Output is correct
58 Correct 853 ms 82400 KB Output is correct
59 Correct 864 ms 82192 KB Output is correct
60 Correct 733 ms 75060 KB Output is correct
61 Correct 777 ms 74960 KB Output is correct
62 Correct 748 ms 74860 KB Output is correct
63 Correct 743 ms 74992 KB Output is correct
64 Correct 929 ms 103388 KB Output is correct
65 Correct 943 ms 103764 KB Output is correct
66 Correct 993 ms 103120 KB Output is correct
67 Correct 974 ms 103924 KB Output is correct
68 Correct 1831 ms 81956 KB Output is correct
69 Correct 2073 ms 82176 KB Output is correct
70 Correct 2193 ms 82372 KB Output is correct
71 Correct 1895 ms 74924 KB Output is correct
72 Correct 1895 ms 74768 KB Output is correct
73 Correct 1998 ms 74956 KB Output is correct
74 Correct 2050 ms 74716 KB Output is correct
75 Correct 2149 ms 103576 KB Output is correct
76 Correct 2170 ms 103696 KB Output is correct
77 Correct 2253 ms 102804 KB Output is correct
78 Correct 2252 ms 103452 KB Output is correct
79 Correct 2318 ms 103084 KB Output is correct
80 Correct 2260 ms 103360 KB Output is correct
81 Correct 1 ms 208 KB Output is correct
82 Correct 7 ms 2000 KB Output is correct
83 Correct 7 ms 2000 KB Output is correct
84 Correct 895 ms 82336 KB Output is correct
85 Correct 772 ms 74980 KB Output is correct
86 Correct 723 ms 74936 KB Output is correct
87 Correct 975 ms 103492 KB Output is correct
88 Correct 935 ms 103544 KB Output is correct
89 Correct 836 ms 82304 KB Output is correct
90 Correct 754 ms 74904 KB Output is correct
91 Correct 767 ms 75004 KB Output is correct
92 Correct 955 ms 103140 KB Output is correct
93 Correct 966 ms 103336 KB Output is correct
94 Correct 6 ms 1488 KB Output is correct
95 Correct 7 ms 1464 KB Output is correct
96 Correct 6 ms 1488 KB Output is correct
97 Correct 7 ms 2000 KB Output is correct
98 Correct 6 ms 2000 KB Output is correct
99 Correct 6 ms 1616 KB Output is correct
100 Correct 6 ms 1488 KB Output is correct
101 Correct 6 ms 1360 KB Output is correct
102 Correct 8 ms 2000 KB Output is correct
103 Correct 6 ms 2000 KB Output is correct
104 Correct 1918 ms 75376 KB Output is correct
105 Correct 2266 ms 82212 KB Output is correct
106 Correct 2192 ms 82384 KB Output is correct
107 Correct 2059 ms 74912 KB Output is correct
108 Correct 1973 ms 75112 KB Output is correct
109 Correct 2019 ms 74804 KB Output is correct
110 Correct 1948 ms 74828 KB Output is correct
111 Correct 2134 ms 102808 KB Output is correct
112 Correct 2058 ms 103032 KB Output is correct
113 Correct 2138 ms 103404 KB Output is correct
114 Correct 2013 ms 103532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1018 ms 59680 KB Output is correct
2 Correct 2089 ms 102652 KB Output is correct
3 Correct 2080 ms 102212 KB Output is correct
4 Correct 1970 ms 103068 KB Output is correct
5 Correct 2033 ms 103344 KB Output is correct
6 Correct 2237 ms 103048 KB Output is correct
7 Correct 2217 ms 103420 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 7 ms 2000 KB Output is correct
10 Correct 8 ms 1996 KB Output is correct
11 Correct 2 ms 464 KB Output is correct
12 Correct 7 ms 1616 KB Output is correct
13 Correct 7 ms 1488 KB Output is correct
14 Correct 6 ms 1360 KB Output is correct
15 Correct 6 ms 1360 KB Output is correct
16 Correct 6 ms 1472 KB Output is correct
17 Correct 7 ms 1488 KB Output is correct
18 Correct 7 ms 2000 KB Output is correct
19 Correct 7 ms 2000 KB Output is correct
20 Correct 8 ms 2112 KB Output is correct
21 Correct 7 ms 2048 KB Output is correct
22 Correct 0 ms 208 KB Output is correct
23 Correct 8 ms 1996 KB Output is correct
24 Correct 7 ms 2000 KB Output is correct
25 Correct 6 ms 1488 KB Output is correct
26 Correct 6 ms 1452 KB Output is correct
27 Correct 7 ms 1484 KB Output is correct
28 Correct 9 ms 2008 KB Output is correct
29 Correct 7 ms 2000 KB Output is correct
30 Correct 7 ms 1488 KB Output is correct
31 Correct 6 ms 1360 KB Output is correct
32 Correct 6 ms 1432 KB Output is correct
33 Correct 6 ms 2000 KB Output is correct
34 Correct 7 ms 2000 KB Output is correct
35 Correct 3 ms 848 KB Output is correct
36 Correct 6 ms 1616 KB Output is correct
37 Correct 7 ms 1560 KB Output is correct
38 Correct 6 ms 1488 KB Output is correct
39 Correct 7 ms 1484 KB Output is correct
40 Correct 6 ms 1360 KB Output is correct
41 Correct 6 ms 1432 KB Output is correct
42 Correct 7 ms 2000 KB Output is correct
43 Correct 8 ms 2128 KB Output is correct
44 Correct 8 ms 2000 KB Output is correct
45 Correct 7 ms 2092 KB Output is correct
46 Correct 486 ms 49188 KB Output is correct
47 Correct 869 ms 82268 KB Output is correct
48 Correct 892 ms 82340 KB Output is correct
49 Correct 826 ms 74996 KB Output is correct
50 Correct 842 ms 74888 KB Output is correct
51 Correct 807 ms 74780 KB Output is correct
52 Correct 805 ms 74840 KB Output is correct
53 Correct 1048 ms 103224 KB Output is correct
54 Correct 1073 ms 103380 KB Output is correct
55 Correct 1055 ms 103132 KB Output is correct
56 Correct 988 ms 103496 KB Output is correct
57 Correct 857 ms 82364 KB Output is correct
58 Correct 773 ms 75064 KB Output is correct
59 Correct 790 ms 74928 KB Output is correct
60 Correct 982 ms 103320 KB Output is correct
61 Correct 962 ms 103524 KB Output is correct
62 Correct 872 ms 82260 KB Output is correct
63 Correct 744 ms 74940 KB Output is correct
64 Correct 768 ms 74924 KB Output is correct
65 Correct 969 ms 103136 KB Output is correct
66 Correct 948 ms 103384 KB Output is correct
67 Correct 830 ms 80108 KB Output is correct
68 Correct 853 ms 82400 KB Output is correct
69 Correct 864 ms 82192 KB Output is correct
70 Correct 733 ms 75060 KB Output is correct
71 Correct 777 ms 74960 KB Output is correct
72 Correct 748 ms 74860 KB Output is correct
73 Correct 743 ms 74992 KB Output is correct
74 Correct 929 ms 103388 KB Output is correct
75 Correct 943 ms 103764 KB Output is correct
76 Correct 993 ms 103120 KB Output is correct
77 Correct 974 ms 103924 KB Output is correct
78 Correct 1831 ms 81956 KB Output is correct
79 Correct 2073 ms 82176 KB Output is correct
80 Correct 2193 ms 82372 KB Output is correct
81 Correct 1895 ms 74924 KB Output is correct
82 Correct 1895 ms 74768 KB Output is correct
83 Correct 1998 ms 74956 KB Output is correct
84 Correct 2050 ms 74716 KB Output is correct
85 Correct 2149 ms 103576 KB Output is correct
86 Correct 2170 ms 103696 KB Output is correct
87 Correct 2253 ms 102804 KB Output is correct
88 Correct 2252 ms 103452 KB Output is correct
89 Correct 2318 ms 103084 KB Output is correct
90 Correct 2260 ms 103360 KB Output is correct
91 Correct 1 ms 208 KB Output is correct
92 Correct 7 ms 2000 KB Output is correct
93 Correct 7 ms 2000 KB Output is correct
94 Correct 895 ms 82336 KB Output is correct
95 Correct 772 ms 74980 KB Output is correct
96 Correct 723 ms 74936 KB Output is correct
97 Correct 975 ms 103492 KB Output is correct
98 Correct 935 ms 103544 KB Output is correct
99 Correct 836 ms 82304 KB Output is correct
100 Correct 754 ms 74904 KB Output is correct
101 Correct 767 ms 75004 KB Output is correct
102 Correct 955 ms 103140 KB Output is correct
103 Correct 966 ms 103336 KB Output is correct
104 Correct 6 ms 1488 KB Output is correct
105 Correct 7 ms 1464 KB Output is correct
106 Correct 6 ms 1488 KB Output is correct
107 Correct 7 ms 2000 KB Output is correct
108 Correct 6 ms 2000 KB Output is correct
109 Correct 6 ms 1616 KB Output is correct
110 Correct 6 ms 1488 KB Output is correct
111 Correct 6 ms 1360 KB Output is correct
112 Correct 8 ms 2000 KB Output is correct
113 Correct 6 ms 2000 KB Output is correct
114 Correct 400 ms 19004 KB Output is correct
115 Correct 1930 ms 82236 KB Output is correct
116 Correct 1938 ms 82184 KB Output is correct
117 Correct 1834 ms 74864 KB Output is correct
118 Correct 1905 ms 74948 KB Output is correct
119 Correct 1853 ms 74992 KB Output is correct
120 Correct 1778 ms 74980 KB Output is correct
121 Correct 1814 ms 103236 KB Output is correct
122 Correct 1752 ms 103040 KB Output is correct
123 Correct 1781 ms 102992 KB Output is correct
124 Correct 1859 ms 103392 KB Output is correct
125 Correct 819 ms 82244 KB Output is correct
126 Correct 792 ms 74848 KB Output is correct
127 Correct 781 ms 74924 KB Output is correct
128 Correct 921 ms 103148 KB Output is correct
129 Correct 959 ms 103364 KB Output is correct
130 Correct 790 ms 80168 KB Output is correct
131 Correct 825 ms 82472 KB Output is correct
132 Correct 861 ms 82252 KB Output is correct
133 Correct 733 ms 74768 KB Output is correct
134 Correct 739 ms 74864 KB Output is correct
135 Correct 723 ms 74796 KB Output is correct
136 Correct 726 ms 74992 KB Output is correct
137 Correct 932 ms 103388 KB Output is correct
138 Correct 930 ms 103624 KB Output is correct
139 Correct 942 ms 103380 KB Output is correct
140 Correct 934 ms 103812 KB Output is correct
141 Correct 9 ms 1548 KB Output is correct
142 Correct 7 ms 1360 KB Output is correct
143 Correct 7 ms 1360 KB Output is correct
144 Correct 7 ms 2000 KB Output is correct
145 Correct 7 ms 2000 KB Output is correct
146 Correct 3 ms 848 KB Output is correct
147 Correct 6 ms 1616 KB Output is correct
148 Correct 6 ms 1616 KB Output is correct
149 Correct 6 ms 1500 KB Output is correct
150 Correct 6 ms 1464 KB Output is correct
151 Correct 6 ms 1360 KB Output is correct
152 Correct 6 ms 1360 KB Output is correct
153 Correct 6 ms 2000 KB Output is correct
154 Correct 9 ms 2128 KB Output is correct
155 Correct 7 ms 2028 KB Output is correct
156 Correct 6 ms 2048 KB Output is correct
157 Correct 1918 ms 75376 KB Output is correct
158 Correct 2266 ms 82212 KB Output is correct
159 Correct 2192 ms 82384 KB Output is correct
160 Correct 2059 ms 74912 KB Output is correct
161 Correct 1973 ms 75112 KB Output is correct
162 Correct 2019 ms 74804 KB Output is correct
163 Correct 1948 ms 74828 KB Output is correct
164 Correct 2134 ms 102808 KB Output is correct
165 Correct 2058 ms 103032 KB Output is correct
166 Correct 2138 ms 103404 KB Output is correct
167 Correct 2013 ms 103532 KB Output is correct
168 Correct 0 ms 208 KB Output is correct
169 Correct 1072 ms 31036 KB Output is correct
170 Correct 2175 ms 82244 KB Output is correct
171 Correct 2317 ms 82444 KB Output is correct
172 Correct 2231 ms 74888 KB Output is correct
173 Correct 1971 ms 74828 KB Output is correct
174 Correct 2073 ms 75048 KB Output is correct
175 Correct 2088 ms 74864 KB Output is correct
176 Correct 1920 ms 103112 KB Output is correct
177 Correct 2190 ms 103196 KB Output is correct
178 Correct 2152 ms 103164 KB Output is correct
179 Correct 2174 ms 103620 KB Output is correct