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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#133677#4940. Token DistanceTeam_name#WA 75ms14520kbC++205.0kb2023-08-02 12:50:362023-08-02 12:50:39

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-08-02 12:50:39]
  • 评测
  • 测评结果:WA
  • 用时:75ms
  • 内存:14520kb
  • [2023-08-02 12:50:36]
  • 提交

answer

#include <algorithm>
#include <iostream>
#include <numeric>
#include <set>
using PII = std::pair<int, int>;
constexpr int NN = 1E5;
constexpr int SEG = 4 * NN, inf = 1E9;
int N;
int T[NN + 1];
int dT[NN + 1];
std::set<int, decltype([](int i, int j) { return T[i] < T[j] || T[i] == T[j] && i < j; })> s;
int prev[NN + 1];
void get_prev(int X)
{
	if (auto it = s.lower_bound(X); it != s.begin() && T[*--it] == T[X])
			prev[X] = *it;
		else
			prev[X] = 0;
}
void chk_min(int& a, int b) { if (a > b) a = b; }
void chk_max(int& a, int b) { if (a < b) a = b; }
namespace seg0
{
	int min[SEG], max[SEG];
	int p;
	int l_, r_;
	void update(int u)
	{
		min[u] = std::min(min[u << 1], min[u << 1 | 1]);
		max[u] = std::max(max[u << 1], max[u << 1 | 1]);
	}
	void build(int u, int l, int r)
	{
		if (l == r - 1)
		{
			min[u] = T[l];
			max[u] = T[l];
			return;
		}
		int m = (l + r) / 2;
		build(u << 1, l, m);
		build(u << 1 | 1, m, r);
		update(u);
	}
	void modify(int u, int l, int r)
	{
		if (l == r - 1)
		{
			min[u] = T[l];
			max[u] = T[l];
			return;
		}
		if (int m = (l + r) / 2; p < m)
			modify(u << 1, l, m);
		else
			modify(u << 1 | 1, m, r);
		update(u);
	}
	void modify(int p_)
	{
		p = p_;
		modify(1, 1, N + 1);
	}
	PII query(int u, int l, int r)
	{
		if (l_ <= l && r <= r_)
			return {min[u], max[u]};
		int m = (l + r) / 2;
		int res_min = inf, res_max = 0;
		if (l_ < m)
		{
			auto [ret_min, ret_max] = query(u << 1, l, m);
			chk_min(res_min, ret_min);
			chk_max(res_max, ret_max);
		}
		if (m < r_)
		{
			auto [ret_min, ret_max] = query(u << 1 | 1, m, r);
			chk_min(res_min, ret_min);
			chk_max(res_max, ret_max);
		}
		return {res_min, res_max};
	}
	PII query(int l, int r)
	{
		l_ = l, r_ = r + 1;
		return query(1, 1, N + 1);
	}
}
namespace seg1
{
	int GCD[SEG];
	int p;
	int l_, r_;
	void update(int u)
	{
		GCD[u] = std::gcd(GCD[u << 1], GCD[u << 1 | 1]);
	}
	void build(int u, int l, int r)
	{
		if (l == r - 1)
		{
			GCD[u] = std::abs(dT[l]);
			return;
		}
		int m = (l + r) / 2;
		build(u << 1, l, m);
		build(u << 1 | 1, m, r);
		update(u);
	}
	void modify(int u, int l, int r)
	{
		if (l == r - 1)
		{
			GCD[u] = std::abs(dT[l]);
			return;
		}
		if (int m = (l + r) / 2; p < m)
			modify(u << 1, l, m);
		else
			modify(u << 1 | 1, m, r);
		update(u);
	}
	void modify(int p_)
	{
		p = p_;
		modify(1, 2, N + 1);
	}
	int query(int u, int l, int r)
	{
		if (l_ <= l && r <= r_)
			return GCD[u];
		int m = (l + r) / 2;
		int res = 0;
		if (l_ < m)
			res = std::gcd(res, query(u << 1, l, m));
		if (m < r_)
			res = std::gcd(res, query(u << 1 | 1, m, r));
		return res;
	}
	int query(int l, int r)
	{
		l_ = l, r_ = r + 1;
		return query(1, 2, N + 1);
	}
}
namespace seg2
{
	int max[SEG];
	int p;
	int l_, r_;
	void update(int u)
	{
		max[u] = std::max(max[u << 1], max[u << 1 | 1]);
	}
	void build(int u, int l, int r)
	{
		if (l == r - 1)
		{
			max[u] = prev[l];
			return;
		}
		int m = (l + r) / 2;
		build(u << 1, l, m);
		build(u << 1 | 1, m, r);
		update(u);
	}
	void modify(int u, int l, int r)
	{
		if (l == r - 1)
		{
			max[u] = prev[l];
			return;
		}
		if (int m = (l + r) / 2; p < m)
			modify(u << 1, l, m);
		else
			modify(u << 1 | 1, m, r);
		update(u);
	}
	void modify(int p_)
	{
		p = p_;
		modify(1, 1, N + 1);
	}
	int query(int u, int l, int r)
	{
		if (l_ <= l && r <= r_)
			return max[u];
		int m = (l + r) / 2;
		int res = 0;
		if (l_ < m)
			res = std::max(res, query(u << 1, l, m));
		if (m < r_)
			res = std::max(res, query(u << 1 | 1, m, r));
		return res;
	}
	int query(int l, int r)
	{
		l_ = l, r_ = r + 1;
		return query(1, 1, N + 1);
	}
}
int main()
{
	std::ios_base::sync_with_stdio(false), std::cin.tie(nullptr);
	int Q; std::cin >> N >> Q;
	for (int i = 1; i <= N; ++i)
		std::cin >> T[i];
	seg0::build(1, 1, N + 1);
	for (int i = 1; i <= N; ++i)
		dT[i] = T[i] - T[i - 1];
	seg1::build(1, 2, N + 1);
	for (int i = 1; i <= N; ++i)
		s.insert(i);
	for (int i = 1; i <= N; ++i)
		get_prev(i);
	seg2::build(1, 1, N + 1);
	while (Q--)
	{
		int op; std::cin >> op;
		if (op == 1)
		{
			int X, Y; std::cin >> X >> Y;
			int todo = 0;
			if (auto it = s.upper_bound(X); it != s.end() && T[X] == T[*it])
				todo = *it;
			s.erase(X);
			T[X] = Y;
			s.insert(X);
			get_prev(X);
			seg2::modify(X);
			if (todo)
			{
				get_prev(todo);
				seg2::modify(todo);
			}
			seg0::modify(X);
			dT[X] = T[X] - T[X - 1];
			seg1::modify(X);
			if (X < N)
			{
				dT[X + 1] = T[X + 1] - T[X];
				seg1::modify(X + 1);
			}
		}
		else
		{
			int L, R; std::cin >> L >> R;
			auto [min, max] = seg0::query(L, R);
			int GCD = seg1::query(L + 1, R);
			bool distinct = seg2::query(L, R) < L;
			std::cerr << min << " " << max << " " << GCD << " " << distinct << std::endl;
			if (min == max)
				std::cout << "YES\n";
			else
				if (distinct && max - min == (R - L) * GCD)
					std::cout << "YES\n";
				else
					std::cout << "NO\n";
		}
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 9648kb

input:

5 7
1 1 1 10 1
2 1 3
2 1 5
1 5 4
1 3 7
2 2 4
2 2 5
2 4 5

output:

YES
NO
NO
YES
YES

result:

ok 5 lines

Test #2:

score: 0
Accepted
time: 4ms
memory: 9636kb

input:

2 1
0 1000000000
2 1 2

output:

YES

result:

ok single line: 'YES'

Test #3:

score: -100
Wrong Answer
time: 75ms
memory: 14520kb

input:

81473 13549
972586683 972586964 972587245 972587526 972587807 972588088 972588369 972588650 972588931 972589212 972589493 972589774 972590055 972590336 972590617 972590898 972591179 972591460 972591741 972592022 972592303 972592584 972592865 972593146 972593427 972593708 972593989 972594270 97259455...

output:

YES
YES
YES
YES
NO
YES
YES
YES
YES
YES
YES
YES
YES
YES
NO
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
NO
YES
YES
YES
NO
YES
YES
YES
YES
YES
NO
YES
NO
YES
YES
YES
YES
YES
YES
YES
NO
YES
NO
YES
YES
YES
YES
YES
NO
YES
NO
YES
NO
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
YES
NO
YES
YES
YES
YES
YES
...

result:

wrong answer 25th lines differ - expected: 'NO', found: 'YES'