QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#356159#4780. 完美的队列Nelofus100 ✓2282ms70620kbC++204.6kb2024-03-17 16:22:542024-03-17 16:22:55

Judging History

你现在查看的是最新测评结果

  • [2024-03-17 16:22:55]
  • 评测
  • 测评结果:100
  • 用时:2282ms
  • 内存:70620kb
  • [2024-03-17 16:22:54]
  • 提交

answer

/*
 * Copyright© 2024 Heratino & Nelofus. All rights reserved.
 * author: Heratino & Nelofus
 * Problem: QOJ#4780. 完美的队列
 * Tag: 分块;树状数组
 * Memory Limit: 256MB
 * Time Limit: 5000ms
 * Source: 集训队互测 2018
 * Date: 2024-03-15 
 */

// Narcissus & どうか安寧な記憶を

#include <bits/stdc++.h>
using i64 = long long;
using f64 = double;

constexpr int N = 1e5 + 10;
constexpr int N2 = 1e5;
constexpr int M = N;

bool st;
struct query {
	int l, r;
	int x;
	int t;
} Q[N];
int n, m;
int a[N];

int bl[M], br[M], pos[N];
int B, bcnt;
void blockInit() {
	B = std::ceil(sqrt((f64)n / log2(m)));
	bcnt = (n - 1) / B + 1;
	for (int i = 1; i <= bcnt; i++) {
		bl[i] = (i - 1) * B + 1;
		br[i] = i * B;
	}
	br[bcnt] = std::min(br[bcnt], n);
	for (int i = 1; i <= n; i++)
		pos[i] = (i - 1) / B + 1;
}

int maxright[N];
// 维护二元组 (x, k), 表示颜色 x 的出现次数增加了 k, k = ±1
std::vector<std::pair<int, int>> delta[N];
int seq[N];
// {{{处理整块
void solveBlock(const int &x) {
	int r = 0;
	/* 维护序列里最后一个被删掉的 */
	int tag = 0, mxval = -1e9;
	for (int i = bl[x]; i <= br[x]; i++) {
		seq[i] = a[i];
		mxval = std::max(mxval, a[i]);
	}

	static auto modify = [&](const int &p, const int &k, int &tag, int &mxval) {
		if (Q[p].r < bl[x] || Q[p].l > br[x])
			return ;

		// 每次询问的左右两个块要当作单点
		if (Q[p].l <= bl[x] && br[x] <= Q[p].r && x != pos[Q[p].l] && x != pos[Q[p].r]) {
			tag += k;
			mxval += k;
		} else {
			int mdfL = std::max(bl[x], Q[p].l), mdfR = std::min(br[x], Q[p].r);
			mxval = -1e9;
			for (int i = bl[x]; i <= br[x]; i++)
				seq[i] += tag;
			for (int i = mdfL; i <= mdfR; i++)
				seq[i] += k;
			for (int i = bl[x]; i <= br[x]; i++)
				mxval = std::max(mxval, seq[i]);
			tag = 0;
		}
	};

	for (int l = 1; l <= m; l++) {
		// 把 l 的贡献取消掉
		modify(l, 1, tag, mxval);
		while (r <= l) {
			r++;
			if (r != m + 1)
				modify(r, -1, tag, mxval);
		}
		// 如果不是整块, 那么不是这一次要处理的事
		if (Q[l].l <= bl[x] && br[x] <= Q[l].r && x != pos[Q[l].l] && x != pos[Q[l].r]) {
			while (r <= m && mxval > 0) {
				r++;
				if (r != m + 1)
					modify(r, -1, tag, mxval);
			}
			maxright[l] = std::max(maxright[l], r);
		}
	}
}
//}}}

int tr[N];
std::vector<int> single[N];
std::vector<std::pair<int, int>> smdf[N];
inline int lowbit(const int &x) {
	return x & -x;
}
inline void add(const int &x, const int &k) {
	for (int i = x; i <= m; i += lowbit(i))
		tr[i] += k;
}
inline int query(const int &x) {
	int ans = 0;
	for (int i = x; i > 0; i -= lowbit(i))
		ans += tr[i];
	return ans;
}

int cnt[N], ans;
bool ed;
/* 无法忘却的记忆与苍蓝之梦 */
int main() {
#ifdef HeratinoNelofus
	freopen("input.txt", "r", stdin);
#endif
	std::cerr << ((&ed) - (&st)) / 1048576.0 << '\n';
	std::ios::sync_with_stdio(false);
	std::cin.tie(nullptr);

	std::cin >> n >> m;
	for (int i = 1; i <= n; i++)
		std::cin >> a[i];

	int K = std::__lg(m);
	blockInit();

	for (int i = 1; i <= m; i++) {
		std::cin >> Q[i].l >> Q[i].r >> Q[i].x;
		Q[i].t = i;
	}
	for (int i = 1; i <= bcnt; i++)
		solveBlock(i);

	//{{{ 提取询问编号
	for (int i = 1; i <= m; i++) {
		smdf[Q[i].l].emplace_back(i, 1);
		smdf[Q[i].r + 1].emplace_back(i, -1);
		int pl = pos[Q[i].l];
		int pr = pos[Q[i].r];

		// 在每个位置上挂上询问编号
		if (pl == pr) {
			/* 如果是同一个块, 处理自己 */
			for (int p = Q[i].l; p <= Q[i].r; p++)
				single[p].push_back(i);
		} else {
			/* 不是同一个块, 处理两端 */
			for (int p = Q[i].l; p <= br[pl]; p++)
				single[p].push_back(i);
			for (int p = bl[pr]; p <= Q[i].r; p++)
				single[p].push_back(i);
		}
	}
	//}}}

	//{{{计算每个散块询问
	for (int i = 1; i <= n; i++) {
		for (const auto &[q, k] : smdf[i])
			add(q, k);


		for (const int &x : single[i]) {
			int sum = query(x);
			int p = 0;
			int csum = 0;
			/* BIT 上倍增 */
			for (int k = K; k >= 0; k--) {
				if (p + (1 << k) <= m) {
					int t = csum + tr[p + (1 << k)];
					// 只要还能容纳
					if (t - sum <= a[i] - 1)
						csum = t, p += (1 << k);
				}
			}
			maxright[x] = std::max(maxright[x], p + 1);
		}
	}
	//}}}
	
	for (int i = 1; i <= m; i++) {
		delta[i].emplace_back(Q[i].x, 1);
		delta[maxright[i]].emplace_back(Q[i].x, -1);
	}
	for (int i = 1; i <= m; i++) {
		for (const auto &[c, k] : delta[i]) {
			if (cnt[c] == 1 && k == -1)
				ans--;
			if (cnt[c] == 0 && k ==  1)
				ans++;
			cnt[c] += k;
		}
		std::cout << ans << '\n';
	}
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 23ms
memory: 5652kb

input:

5000 4999
99 36 47 78 58 58 64 12 42 54 29 56 57 32 99 21 1 6 42 97 82 8 79 92 3 56 19 41 29 59 23 34 76 34 82 20 44 51 60 73 89 65 51 65 15 87 65 70 51 26 40 95 44 62 97 81 43 13 20 81 76 64 47 95 54 56 99 62 91 63 98 58 70 60 47 97 31 74 76 70 10 30 99 33 52 100 14 65 4 6 87 4 8 1 8 87 18 70 76 43...

output:

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10...

result:

ok 4999 numbers

Subtask #2:

score: 5
Accepted

Dependency #1:

100%
Accepted

Test #2:

score: 5
Accepted
time: 54ms
memory: 7672kb

input:

9999 10000
60 75 4 70 26 87 8 77 16 6 20 88 95 44 60 10 71 93 68 33 30 71 21 19 88 61 26 93 21 83 35 83 25 72 33 75 40 14 92 54 10 42 60 93 73 82 13 50 50 25 99 16 68 38 78 14 4 1 58 72 2 96 69 57 43 71 68 100 5 49 50 58 50 61 53 22 88 55 95 37 67 96 50 46 55 97 84 28 62 56 44 35 80 5 59 45 50 14 48...

output:

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...

result:

ok 10000 numbers

Subtask #3:

score: 5
Accepted

Dependency #2:

100%
Accepted

Test #3:

score: 5
Accepted
time: 113ms
memory: 9856kb

input:

15000 15000
8 2 78 69 72 23 22 79 69 75 63 19 90 94 45 5 1 44 53 34 80 80 26 43 9 86 85 38 71 88 90 2 22 46 60 7 14 18 77 44 5 80 80 48 9 51 38 49 7 2 73 64 67 84 44 7 53 9 84 21 90 35 69 46 5 74 27 73 78 91 10 68 50 5 98 55 17 99 99 81 38 20 99 81 91 19 87 26 71 19 49 44 70 29 5 33 21 49 75 5 79 84...

output:

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...

result:

ok 15000 numbers

Subtask #4:

score: 5
Accepted

Dependency #3:

100%
Accepted

Test #4:

score: 5
Accepted
time: 181ms
memory: 12312kb

input:

20000 20000
96 95 34 72 28 92 86 48 37 22 76 41 18 23 56 52 32 48 37 96 75 17 69 22 81 79 60 82 79 12 69 15 58 79 7 7 63 70 58 69 68 18 96 29 69 70 4 7 75 27 18 44 49 53 89 15 10 97 75 58 52 54 65 91 48 33 5 91 59 12 2 6 30 99 79 45 91 14 36 15 98 88 11 73 98 3 8 22 45 41 42 71 31 29 16 44 72 100 57...

output:

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...

result:

ok 20000 numbers

Subtask #5:

score: 5
Accepted

Test #5:

score: 5
Accepted
time: 209ms
memory: 15044kb

input:

25000 25000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

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5...

result:

ok 25000 numbers

Subtask #6:

score: 5
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

100%
Accepted

Test #6:

score: 5
Accepted
time: 345ms
memory: 17456kb

input:

30000 30000
68 5 42 87 7 80 19 79 72 80 13 85 83 48 90 63 4 37 40 96 77 7 16 94 52 72 28 84 30 15 46 65 45 62 55 51 11 89 57 61 52 41 25 10 72 94 38 68 79 97 56 89 15 11 78 5 10 36 13 11 9 25 46 3 50 98 100 86 23 56 59 38 12 29 50 94 73 7 7 59 74 4 98 21 42 1 37 35 12 67 2 7 37 17 19 60 91 64 57 95 ...

output:

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...

result:

ok 30000 numbers

Subtask #7:

score: 5
Accepted

Test #7:

score: 5
Accepted
time: 399ms
memory: 20528kb

input:

34999 35000
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...

output:

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2...

result:

ok 35000 numbers

Subtask #8:

score: 5
Accepted

Dependency #6:

100%
Accepted

Dependency #7:

100%
Accepted

Test #8:

score: 5
Accepted
time: 526ms
memory: 23700kb

input:

40000 40000
17 23 52 38 20 94 83 41 49 13 61 29 39 58 31 87 29 63 23 94 63 95 78 64 8 3 72 67 30 54 51 34 1 97 52 6 8 64 68 97 2 63 12 30 43 2 46 86 56 58 58 36 3 89 49 79 37 38 57 15 45 3 55 76 60 76 92 51 7 15 5 34 87 31 67 24 6 52 31 95 23 58 59 44 74 77 92 7 21 50 10 76 84 21 34 95 2 5 59 61 18 ...

output:

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1...

result:

ok 40000 numbers

Subtask #9:

score: 5
Accepted

Test #9:

score: 5
Accepted
time: 664ms
memory: 26516kb

input:

45000 45000
10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 ...

output:

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...

result:

ok 45000 numbers

Subtask #10:

score: 5
Accepted

Dependency #8:

100%
Accepted

Dependency #9:

100%
Accepted

Test #10:

score: 5
Accepted
time: 780ms
memory: 30668kb

input:

50000 50000
93 35 69 99 23 3 93 39 95 53 2 59 1 25 67 8 73 72 65 33 60 11 96 99 40 56 88 72 32 60 48 49 42 63 75 50 35 80 34 46 38 54 71 36 81 52 46 32 19 54 10 20 36 29 4 83 93 3 72 21 37 1 30 48 32 99 91 65 12 27 13 81 11 59 22 89 90 6 30 15 62 91 8 2 38 98 57 77 62 93 86 17 95 97 73 11 16 2 28 87...

output:

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1...

result:

ok 50000 numbers

Subtask #11:

score: 5
Accepted

Dependency #5:

100%
Accepted

Dependency #7:

100%
Accepted

Dependency #9:

100%
Accepted

Test #11:

score: 5
Accepted
time: 892ms
memory: 33800kb

input:

54444 55000
3 5 10 6 4 10 10 6 2 10 5 2 6 9 10 6 5 9 3 4 7 6 9 1 1 2 6 10 5 2 6 3 10 3 4 7 3 3 3 5 9 2 2 8 6 10 6 9 1 1 3 2 6 8 9 3 10 4 10 5 6 5 7 6 9 4 7 4 10 8 5 10 1 5 8 4 4 5 9 3 9 3 2 1 2 7 5 10 3 4 6 10 4 8 6 9 6 6 6 8 8 3 3 2 9 9 7 3 8 9 4 4 3 5 10 5 10 6 7 2 10 1 1 10 6 1 6 3 7 1 8 7 9 4 5 ...

output:

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...

result:

ok 55000 numbers

Subtask #12:

score: 5
Accepted

Dependency #11:

100%
Accepted

Test #12:

score: 5
Accepted
time: 1023ms
memory: 38036kb

input:

60000 60000
55 3 74 22 46 71 40 1 41 52 27 48 31 19 84 36 89 45 7 36 91 41 79 43 43 64 58 6 80 80 66 52 60 58 47 84 31 11 74 43 74 23 79 31 45 17 85 49 53 96 45 92 59 30 30 15 59 63 52 47 17 10 72 91 8 29 1 74 86 100 91 13 85 77 79 34 10 83 76 54 52 63 5 76 45 62 80 47 21 46 36 12 9 93 28 50 86 43 9...

output:

1
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...

result:

ok 60000 numbers

Subtask #13:

score: 5
Accepted

Test #13:

score: 5
Accepted
time: 1195ms
memory: 41824kb

input:

65000 65000
5 7 8 6 3 6 8 7 2 3 5 10 9 9 4 3 9 1 2 9 1 1 6 10 1 10 5 4 7 1 9 6 6 8 10 5 8 3 2 5 2 3 6 8 7 3 2 3 6 5 1 10 6 2 4 7 8 1 3 3 5 4 2 5 2 5 3 3 6 7 6 9 5 3 10 3 6 2 8 10 9 10 2 5 4 10 3 3 6 3 5 7 141 3 6 3 10 2 7 6 3 5 9 4 10 1 3 9 9 8 2 5 10 1 7 1 8 5 3 3 7 7 9 7 4 1 9 2 2 4 8 6 10 5 7 3 3...

output:

1
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...

result:

ok 65000 numbers

Subtask #14:

score: 5
Accepted

Dependency #12:

100%
Accepted

Dependency #13:

100%
Accepted

Test #14:

score: 5
Accepted
time: 1266ms
memory: 45760kb

input:

70000 70000
54 42 81 48 90 100 68 36 70 5 93 14 38 37 27 29 66 51 92 69 40 74 70 59 69 85 38 24 24 83 53 66 58 69 26 5 31 19 34 19 92 31 80 65 39 22 61 44 18 84 69 4 28 81 60 16 54 90 10 44 63 100 52 10 65 14 28 42 25 46 89 82 67 92 61 15 40 87 72 49 31 57 52 71 16 27 28 33 96 11 75 12 35 1 23 93 80...

output:

1
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...

result:

ok 70000 numbers

Subtask #15:

score: 5
Accepted

Dependency #13:

100%
Accepted

Test #15:

score: 5
Accepted
time: 1458ms
memory: 49616kb

input:

75000 75000
1 8 2 4 4 7 1 2 5 4 1 3 2 4 2 2 3 3 3 6 1 4 8 5 3 6 8 3 9 4 5 5 3 6 9 2 9 6 1 4 2 8 5 8 2 7 4 3 4 4 1 9 4 5 8 1 4 8 6 5 8 6 6 5 4 7 6 3 3 6 6 4 7 4 4 1 9 6 6 4 6 4 1 9 7 3 4 7 7 5 9 9 7 3 5 9 7 3 5 7 3 8 6 2 6 2 8 8 8 6 9 5 1 3 3 2 9 7 6 8 2 3 4 6 7 4 8 1 4 5 5 7 7 4 5 8 9 6 2 1225 7 9 6...

output:

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1...

result:

ok 75000 numbers

Subtask #16:

score: 5
Accepted

Dependency #14:

100%
Accepted

Dependency #15:

100%
Accepted

Test #16:

score: 5
Accepted
time: 1591ms
memory: 54332kb

input:

80000 80000
36 90 42 28 58 80 90 68 41 93 51 46 31 59 94 62 17 48 63 27 64 83 69 43 81 1 4 32 98 57 38 56 83 21 6 95 29 63 44 88 74 45 75 75 51 45 89 33 37 50 3 11 1 69 66 87 12 44 11 90 4 66 17 97 37 21 89 11 84 71 53 60 11 63 34 86 99 61 60 79 37 24 50 15 2 88 11 16 79 36 70 89 81 41 55 51 18 99 8...

output:

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...

result:

ok 80000 numbers

Subtask #17:

score: 5
Accepted

Dependency #16:

100%
Accepted

Test #17:

score: 5
Accepted
time: 1749ms
memory: 58228kb

input:

85000 85000
35 30 17 21 1 8 55 71 93 22 77 80 62 1 37 55 95 53 83 60 49 83 84 34 32 90 17 51 65 29 57 71 89 32 18 16 5 39 36 8 92 53 99 85 81 18 42 72 2 74 51 15 34 12 20 76 8 39 2 64 5 81 64 80 94 31 92 47 91 10 19 98 85 21 16 66 38 20 24 98 80 19 29 43 81 85 82 46 22 65 41 89 75 49 50 70 88 2 85 5...

output:

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...

result:

ok 85000 numbers

Subtask #18:

score: 5
Accepted

Dependency #17:

100%
Accepted

Test #18:

score: 5
Accepted
time: 1944ms
memory: 61936kb

input:

90000 90000
81 45 45 33 1 89 77 35 65 10 35 12 63 23 72 87 69 19 55 63 29 36 84 42 44 46 58 3 15 35 41 29 81 85 21 81 3 91 81 77 75 23 26 95 26 65 62 62 22 15 53 54 76 100 26 47 66 49 71 10 22 47 29 67 10 70 77 48 14 35 39 44 29 84 57 61 97 26 12 59 98 10 51 11 67 77 10 17 37 90 4 99 45 89 37 95 26 ...

output:

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...

result:

ok 90000 numbers

Subtask #19:

score: 5
Accepted

Dependency #18:

100%
Accepted

Test #19:

score: 5
Accepted
time: 2025ms
memory: 66408kb

input:

95000 95000
48 85 52 2 4 17 29 38 93 62 69 46 27 9 15 57 15 24 39 96 14 93 99 34 94 27 95 21 83 38 60 7 80 28 33 95 3 67 29 53 69 7 95 37 31 6 14 33 86 3 77 3 9 83 24 4 29 45 5 39 92 37 85 86 99 48 48 84 22 81 12 38 80 74 71 42 36 30 32 23 41 4 30 7 38 42 81 47 88 32 75 98 71 97 33 39 21 33 35 87 91...

output:

1
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...

result:

ok 95000 numbers

Subtask #20:

score: 5
Accepted

Dependency #19:

100%
Accepted

Test #20:

score: 5
Accepted
time: 2282ms
memory: 70620kb

input:

100000 100000
15 56 36 27 48 45 25 41 22 91 96 12 58 50 99 18 25 5 92 29 31 57 14 50 84 15 99 71 15 66 79 21 54 38 76 84 79 74 21 30 87 60 95 71 25 87 67 72 59 60 1 39 33 58 78 37 56 80 96 13 61 27 33 38 88 33 7 20 29 84 10 7 86 32 53 23 42 65 29 75 44 99 9 70 18 31 93 9 62 29 38 98 65 73 28 58 15 4...

output:

1
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...

result:

ok 100000 numbers