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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#233849#2788. HorsesCamillus#37 495ms24408kbC++204.1kb2023-11-01 00:59:112024-07-04 02:22:30

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 02:22:30]
  • 评测
  • 测评结果:37
  • 用时:495ms
  • 内存:24408kb
  • [2023-11-01 00:59:11]
  • 提交

answer

#pragma GCC optimize("Ofast")
#include "horses.h"
#include "bits/stdc++.h"

using ll = long long;
using i128 = __int128;
using namespace std;

struct mint {
	static constexpr int mod = 1e9 + 7;

	int data = 0;

	mint() = default;
	mint(int data) : data(data) {}

	mint operator+(const mint &other) const {
		int res = data + other.data;
		if (res >= mod) {
			res -= mod;
		}
		return res;
	}

	mint operator-(const mint &other) const {
		int res = data + mod - other.data;
		if (res >= mod) {
			res -= mod;
		}
		return res;
	}

	mint operator*(const mint &other) const {
		return mint(1ll * data * other.data % mod);
	}
};

int n;
vector<int> X, Y;

constexpr int maxn = 1 << 19; 

namespace st0 {
	int tree[maxn * 2 - 1];

	void set(int i, int x = 0, int lx = 0, int rx = maxn) {
		if (rx - lx == 1) {
			tree[x] = i;
			return;
		}

		int mx = (lx + rx) / 2;

		if (i < mx) {
			set(i, x * 2 + 1, lx, mx);
		} else {
			set(i, x * 2 + 2, mx, rx);
		}

		if (Y[tree[x * 2 + 1]] > Y[tree[x * 2 + 2]]) {
			tree[x] = tree[x * 2 + 1];
		} else {
			tree[x] = tree[x * 2 + 2];
		}
	}

	int get(int l, int r, int x = 0, int lx = 0, int rx = maxn) {
		// int res = n;
		// for (int i = l; i < r; i++) {
		// 	if (Y[res] < Y[i]) {
		// 		res = i;
		// 	}
		// }
		// return res;
		if (l <= lx && rx <= r) {
			return tree[x];
		}

		if (l >= rx || lx >= r) {
			return n;
		}

		int mx = (lx + rx) / 2;

		int i = get(l, r, x * 2 + 1, lx, mx);
		int j = get(l, r, x * 2 + 2, mx, rx);

		if (Y[i] > Y[j]) {
			return i;
		} else {
			return j;
		}
	}
} // namespace st0

namespace st1 {
	int tree[maxn * 2 - 1];

	void set(int i, int v, int x = 0, int lx = 0, int rx = maxn) {
		if (rx - lx == 1) {
			tree[x] = v;
			return;
		}

		int mx = (lx + rx) / 2;

		if (i < mx) {
			set(i, v, x * 2 + 1, lx, mx);
		} else {
			set(i, v, x * 2 + 2, mx, rx);
		}

		tree[x] = max(tree[x * 2 + 1], tree[x * 2 + 2]);
	}

	int get(int l, int r, int x = 0, int lx = 0, int rx = maxn) {
		if (l <= lx && rx <= r) {
			return tree[x];
		}

		if (l >= rx || lx >= r) {
			return 1;
		}
		
		return max(
			get(l, r, x * 2 + 1, lx, (lx + rx) / 2),
			get(l, r, x * 2 + 2, (lx + rx) / 2, rx)
		);
	}
} // namespace st1

namespace st2 {
	mint tree[maxn * 2 - 1];

	void set(int i, int v, int x = 0, int lx = 0, int rx = maxn) {
		if (rx - lx == 1) {
			tree[x] = v;
			return;
		}

		int mx = (lx + rx) / 2;
		
		if (i < mx) {
			set(i, v, x * 2 + 1, lx, mx);
		} else {
			set(i, v, x * 2 + 2, mx, rx);
		}

		tree[x] = tree[x * 2 + 1] * tree[x * 2 + 2];
	}

	mint get(int l, int r, int x = 0, int lx = 0, int rx = maxn) {
		if (l <= lx && rx <= r) {
			return tree[x];
		}

		if (l >= rx || lx >= r) {
			return 1;
		}

		return get(l, r, x * 2 + 1, lx, (lx + rx) / 2) * get(l, r, x * 2 + 2, (lx + rx) / 2, rx);
	}
} // namespace st2

int calc() {
	vector<pair<int, int>> q;

	{
		i128 cur = 1;

		for (int r = n - 1; r >= 0;) {
			int R = r + 1;

			if (X[r] == 1) {
				int LL = 0;
				int RR = r;

				while (RR - LL > 1) {
					int M = (LL + RR) / 2;
					
					if (st1::get(M, R) == 1) {
						RR = M;
					} else {
						LL = M;
					}
				}

				r = LL;
			}

			cur *= X[r];

			if (cur > mint::mod * 10) {
				break;
			} else {
				q.emplace_back(r, st0::get(r, R));
			}

			r--;
		}
	}

	reverse(q.begin(), q.end());

	vector<pair<i128, int>> v;
	for (i128 cur = 1; auto [a, b] : q) {
		cur *= X[a];
		v.emplace_back(cur * Y[b], b);
	}

	int pos = max_element(v.begin(), v.end())->second;

	return (st2::get(0, pos + 1) * Y[pos]).data;
}

int init(int N, int _X[], int _Y[]) {
	n = N;
	
	X = vector<int>(_X, _X + n);
	Y = vector<int>(_Y, _Y + n);
	Y.push_back(0);

	for (int i = 0; i < n; i++) {
		st0::set(i);

		st1::set(i, X[i]);
		st2::set(i, X[i]);
	}

	return calc();
}

int updateX(int pos, int val) {	
	X[pos] = val;

	st1::set(pos, val);
	st2::set(pos, val);

	return calc();
}

int updateY(int pos, int val) {
	Y[pos] = val;
	
	st0::set(pos);

	return calc();
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 17
Accepted

Test #1:

score: 17
Accepted
time: 0ms
memory: 14248kb

input:

1
2
3
0

output:

6

result:

ok single line: '6'

Test #2:

score: 0
Accepted
time: 0ms
memory: 14008kb

input:

10
2 1 1 5 2 1 1 10 5 1
3 5 7 9 4 1 4 10 10 9
0

output:

10000

result:

ok single line: '10000'

Test #3:

score: 0
Accepted
time: 2ms
memory: 13984kb

input:

10
10 10 10 1 1 1 1 1 1 1
2 3 4 2 7 6 5 4 3 2
0

output:

7000

result:

ok single line: '7000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 14344kb

input:

10
9 1 1 1 1 1 1 1 1 2
4 1 1 1 1 1 1 1 1 2
0

output:

36

result:

ok single line: '36'

Test #5:

score: 0
Accepted
time: 1ms
memory: 13996kb

input:

10
1 1 1 1 1 1 1 1 1 1
1 2 3 4 5 6 7 8 9 10
0

output:

10

result:

ok single line: '10'

Test #6:

score: 0
Accepted
time: 0ms
memory: 14076kb

input:

10
1 1 1 1 1 1 1 1 1 1
10 9 8 7 6 5 4 3 2 1
0

output:

10

result:

ok single line: '10'

Test #7:

score: 0
Accepted
time: 0ms
memory: 14272kb

input:

10
10 10 10 1 1 1 1 1 1 1
10 10 2 3 4 5 6 7 8 9
0

output:

9000

result:

ok single line: '9000'

Test #8:

score: 0
Accepted
time: 3ms
memory: 14272kb

input:

10
10 10 10 1 1 1 1 1 1 1
10 10 9 8 7 6 5 4 3 2
0

output:

9000

result:

ok single line: '9000'

Test #9:

score: 0
Accepted
time: 0ms
memory: 14080kb

input:

10
1 1 1 1 2 2 1 1 1 1
8 8 8 8 1 1 2 2 2 2
0

output:

8

result:

ok single line: '8'

Test #10:

score: 0
Accepted
time: 0ms
memory: 13952kb

input:

10
1 1 1 1 1 1 1 1 1 1
1 2 3 4 5 9 8 7 6 1
0

output:

9

result:

ok single line: '9'

Test #11:

score: 0
Accepted
time: 0ms
memory: 14076kb

input:

2
2 5
9 7
0

output:

70

result:

ok single line: '70'

Test #12:

score: 0
Accepted
time: 0ms
memory: 14276kb

input:

1
1
1
0

output:

1

result:

ok single line: '1'

Test #13:

score: 0
Accepted
time: 0ms
memory: 14076kb

input:

7
7 1 1 6 2 3 2
7 6 5 4 3 7 1
0

output:

1764

result:

ok single line: '1764'

Test #14:

score: 0
Accepted
time: 0ms
memory: 13980kb

input:

1
10
10
0

output:

100

result:

ok single line: '100'

Test #15:

score: 0
Accepted
time: 0ms
memory: 13948kb

input:

2
1 4
7 2
0

output:

8

result:

ok single line: '8'

Test #16:

score: 0
Accepted
time: 0ms
memory: 14072kb

input:

10
1 10 1 10 1 1 10 1 1 1
7 3 10 10 4 10 1 4 5 10
0

output:

10000

result:

ok single line: '10000'

Test #17:

score: 0
Accepted
time: 2ms
memory: 14084kb

input:

6
1 1 1 1 1 1
1 1 1 1 1 1
0

output:

1

result:

ok single line: '1'

Test #18:

score: 0
Accepted
time: 0ms
memory: 14352kb

input:

4
1 2 4 8
8 4 2 1
0

output:

64

result:

ok single line: '64'

Test #19:

score: 0
Accepted
time: 0ms
memory: 14264kb

input:

6
1 2 2 3 1 1
7 1 1 2 1 1
0

output:

24

result:

ok single line: '24'

Test #20:

score: 0
Accepted
time: 4ms
memory: 14020kb

input:

10
2 1 1 5 2 1 1 10 5 1
3 5 7 9 4 1 4 10 7 9
0

output:

9000

result:

ok single line: '9000'

Subtask #2:

score: 0
Wrong Answer

Dependency #1:

100%
Accepted

Test #21:

score: 17
Accepted
time: 0ms
memory: 14016kb

input:

10
10 10 10 10 10 10 1 1 1 1
1 1 1 1 9 5 4 7 3 2
5
1 5 1
2 5 123456789
1 5 1
1 8 987654321
1 9 777777777

output:

7000000
900000
678813585
678813585
294225928
75803567

result:

ok 6 lines

Test #22:

score: -17
Wrong Answer
time: 0ms
memory: 14076kb

input:

10
3 2 7 5 11 13 107 23 51 3
1 1 1 1 1000000000 1 1 1 1 1
16
1 1 1
1 2 1
1 0 1
1 8 1
1 7 1
1 9 1
1 1 25
1 8 123456789
1 4 1
1 6 1
1 3 1
1 5 1
1 5 12345
1 6 123456
1 7 1234567
2 4 3

output:

999983837
999991922
999998852
999999622
999999622
999999622
999999622
999990382
539408243
49037113
617280725
123456145
86419704
851238418
489396978
354709175
354709175

result:

wrong answer 13th lines differ - expected: '999999832', found: '86419704'

Subtask #3:

score: 20
Accepted

Test #33:

score: 20
Accepted
time: 495ms
memory: 24344kb

input:

500000
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 2 2 2...

output:

967631222
967631222
795463654
885679347
618832158
618832158
618832158
618832158
618832158
582471866
864166718
864166718
864166718
864166718
864166718
813424701
813424701
813424701
813424701
813424701
815547130
815547130
815547130
815547130
815547130
715585103
715585103
715585103
715585103
715585103
...

result:

ok 100001 lines

Test #34:

score: 0
Accepted
time: 246ms
memory: 24272kb

input:

500000
1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000...

output:

764523385
560650427
560650427
711685442
711685442
711685442
630166054
630166054
630166054
604940491
56866480
384893091
501798659
560422885
560422885
18199764
63591615
212319888
212319888
39499230
828983454
828983454
634555752
4896305
181214713
231675794
231675794
966365836
181367397
181367397
987190...

result:

ok 100001 lines

Test #35:

score: 0
Accepted
time: 265ms
memory: 23804kb

input:

500000
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 2 2 2...

output:

967631222
192947708
884245369
884245369
884245369
884245369
884245369
649885822
981487169
321173457
159089267
159089267
159089267
747556995
964496384
964496384
964496384
928334020
928334020
928334020
928334020
459124375
459124375
404955269
251629123
80789828
80789828
463250667
463250667
120836466
57...

result:

ok 100001 lines

Test #36:

score: 0
Accepted
time: 304ms
memory: 24408kb

input:

500000
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 2 2 2...

output:

628833504
223286077
463897870
972304401
127408916
377483838
722400213
221924185
818717195
473021697
502484429
318341012
230123148
522240493
607202268
818940989
569566927
384659940
448632730
578079312
667605482
963648869
939506632
965323855
498894254
695643284
699407581
168605135
70361400
795950777
1...

result:

ok 100001 lines

Subtask #4:

score: 0
Skipped

Dependency #2:

0%

Subtask #5:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

0%