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ID	Problem	Submitter	Result	Time	Memory	Language	File size	Submit time	Judge time
#430035	#4565. Rarest Insects	james1BadCreeper^#	47.5	34ms	4124kb	C++17	1.7kb	2024-06-03 11:48:52	2024-06-03 11:48:53

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[2024-06-03 11:48:53]
评测

测评结果：47.5
用时：34ms
内存：4124kb

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[2024-06-03 11:48:52]
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answer

#include "insects.h"
#include <bits/stdc++.h>
using namespace std; 
const int N = 2e3 + 5; 

// 最多问 3n 次询问
int n, m, k, id[N]; 
bool in[N]; 
mt19937 Rand(time(0)); 

void Move_inside(int x) { move_inside(id[x] - 1); }
void Move_outside(int x) { move_outside(id[x] - 1); }
bool check(int x) { // 最罕见的昆虫是否能 >= x
    int cnt = n; 
    for (int i = 1; i <= n; ++i) {
        Move_inside(i); in[i] = 1; 
        if (press_button() > x) {
            Move_outside(i), in[i] = 0, --cnt; 
            if (cnt < k * x) {
                for (int i = 1; i <= n; ++i)
                    if (in[i]) Move_outside(i), in[i] = 0; 
                return 0; 
            }
        }
    }
    for (int i = 1; i <= n; ++i)
        if (in[i]) Move_outside(i); 
    return cnt == k * x; 
}
int min_cardinality(int N) {
    n = N; 
    k = n; 
    for (int i = 1; i <= n; ++i) id[i] = i; 
    shuffle(id + 1, id + n + 1, Rand);  
    for (int i = 1; i <= n; ++i) {
        Move_inside(i), in[i] = 1; 
        if (press_button() > 1) Move_outside(i), in[i] = 0, --k; 
    }
    int cnt = 0; 
    for (int i = 1; i <= n; ++i)
        if (in[i]) ++cnt; 
    assert(cnt == k); 
    for (int i = 1; i <= n; ++i)
        if (in[i]) Move_outside(i); 

    // 最罕见的出现次数是 1，当且仅当什么时候？
    int L = 0, R = n / k + 1; // [2, n / k]

    while (L + 1 != R) {
        int mid = L + R >> 1; 
        if (check(mid)) L = mid; 
        else R = mid; 
    }
    return L; 
}

// 我们可以知道的信息：

// n 次代价知道昆虫种类数 k
// n 次代价知道最常见的昆虫基数

// 那么最罕见的昆虫的基数至多是 n / k
// 直接扫，

Source code, Language: C++17

Details

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Subtask #1:

score: 10

Accepted

Test #1:

score: 10

Accepted

time: 1ms

memory: 3824kb

input:

output:

result:

ok

Test #2:

score: 0

Accepted

time: 1ms

memory: 3828kb

input:

output:

result:

ok

Test #3:

score: 0

Accepted

time: 0ms

memory: 3804kb

input:

output:

result:

ok

Test #4:

score: 0

Accepted

time: 0ms

memory: 3808kb

input:

output:

result:

ok

Test #5:

score: 0

Accepted

time: 0ms

memory: 3820kb

input:

output:

result:

ok

Test #6:

score: 0

Accepted

time: 0ms

memory: 3832kb

input:

output:

result:

ok

Test #7:

score: 0

Accepted

time: 11ms

memory: 3844kb

input:

output:

result:

ok

Test #8:

score: 0

Accepted

time: 1ms

memory: 4072kb

input:

output:

result:

ok

Test #9:

score: 0

Accepted

time: 6ms

memory: 3820kb

input:

output:

result:

ok

Test #10:

score: 0

Accepted

time: 0ms

memory: 3872kb

input:

output:

result:

ok

Test #11:

score: 0

Accepted

time: 4ms

memory: 4072kb

input:

output:

result:

ok

Test #12:

score: 0

Accepted

time: 2ms

memory: 3828kb

input:

output:

result:

ok

Test #13:

score: 0

Accepted

time: 0ms

memory: 3828kb

input:

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ok

Test #14:

score: 0

Accepted

time: 3ms

memory: 3824kb

input:

output:

result:

ok

Test #15:

score: 0

Accepted

time: 8ms

memory: 3828kb

input:

output:

result:

ok

Test #16:

score: 0

Accepted

time: 0ms

memory: 3892kb

input:

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ok

Test #17:

score: 0

Accepted

time: 0ms

memory: 3836kb

input:

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ok

Test #18:

score: 0

Accepted

time: 4ms

memory: 3832kb

input:

output:

result:

ok

Test #19:

score: 0

Accepted

time: 0ms

memory: 3824kb

input:

output:

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ok

Test #20:

score: 0

Accepted

time: 0ms

memory: 3772kb

input:

output:

result:

ok

Test #21:

score: 0

Accepted

time: 0ms

memory: 3808kb

input:

output:

result:

ok

Test #22:

score: 0

Accepted

time: 0ms

memory: 3820kb

input:

output:

result:

ok

Test #23:

score: 0

Accepted

time: 3ms

memory: 3800kb

input:

output:

result:

ok

Subtask #2:

score: 15

Accepted

Test #24:

score: 15

Accepted

time: 22ms

memory: 3832kb

input:

output:

result:

ok

Test #25:

score: 0

Accepted

time: 6ms

memory: 3824kb

input:

output:

result:

ok

Test #26:

score: 0

Accepted

time: 0ms

memory: 4124kb

input:

output:

result:

ok

Test #27:

score: 0

Accepted

time: 20ms

memory: 4076kb

input:

output:

result:

ok

Test #28:

score: 0

Accepted

time: 12ms

memory: 4124kb

input:

output:

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ok

Test #29:

score: 0

Accepted

time: 2ms

memory: 3832kb

input:

output:

result:

ok

Test #30:

score: 0

Accepted

time: 17ms

memory: 4076kb

input:

output:

result:

ok

Test #31:

score: 0

Accepted

time: 15ms

memory: 3780kb

input:

output:

result:

ok

Test #32:

score: 0

Accepted

time: 4ms

memory: 4108kb

input:

output:

result:

ok

Test #33:

score: 0

Accepted

time: 13ms

memory: 3820kb

input:

output:

result:

ok

Test #34:

score: 0

Accepted

time: 7ms

memory: 4120kb

input:

output:

result:

ok

Test #35:

score: 0

Accepted

time: 3ms

memory: 3844kb

input:

output:

result:

ok

Test #36:

score: 0

Accepted

time: 8ms

memory: 4100kb

input:

output:

result:

ok

Test #37:

score: 0

Accepted

time: 8ms

memory: 3832kb

input:

output:

result:

ok

Test #38:

score: 0

Accepted

time: 4ms

memory: 4104kb

input:

output:

result:

ok

Test #39:

score: 0

Accepted

time: 0ms

memory: 3824kb

input:

output:

result:

ok

Test #40:

score: 0

Accepted

time: 11ms

memory: 4120kb

input:

output:

result:

ok

Test #41:

score: 0

Accepted

time: 11ms

memory: 3828kb

input:

output:

result:

ok

Test #42:

score: 0

Accepted

time: 8ms

memory: 3828kb

input:

output:

result:

ok

Subtask #3:

score: 22.5

Acceptable Answer

Test #43:

score: 75

Accepted

time: 0ms

memory: 4112kb

input:

output:

result:

ok

Test #44:

score: 75

Accepted

time: 1ms

memory: 4092kb

input:

output:

result:

ok

Test #45:

score: 75

Accepted

time: 1ms

memory: 3760kb

input:

output:

result:

ok

Test #46:

score: 75

Accepted

time: 1ms

memory: 3780kb

input:

output:

result:

ok

Test #47:

score: 70.33

Acceptable Answer

time: 1ms

memory: 3808kb

input:

output:

result:

points 0.93773333330 points  0.93773333330

Test #48:

score: 22.5

Acceptable Answer

time: 24ms

memory: 3800kb

input:

output:

result:

points 0.30 points  0.30

Test #49:

score: 75

Accepted

time: 6ms

memory: 3840kb

input:

output:

result:

ok

Test #50:

score: 45

Acceptable Answer

time: 22ms

memory: 4108kb

input:

output:

result:

points 0.60 points  0.60

Test #51:

score: 57.31

Acceptable Answer

time: 17ms

memory: 3888kb

input:

output:

result:

points 0.76413333330 points  0.76413333330

Test #52:

score: 26.43

Acceptable Answer

time: 25ms

memory: 3844kb

input:

output:

result:

points 0.35240 points  0.35240

Test #53:

score: 75

Accepted

time: 4ms

memory: 3832kb

input:

output:

result:

ok

Test #54:

score: 28.8

Acceptable Answer

time: 18ms

memory: 4108kb

input:

output:

result:

points 0.3840 points  0.3840

Test #55:

score: 57.13

Acceptable Answer

time: 20ms

memory: 3836kb

input:

output:

result:

points 0.76173333330 points  0.76173333330

Test #56:

score: 32.2

Acceptable Answer

time: 17ms

memory: 3892kb

input:

output:

result:

points 0.42933333330 points  0.42933333330

Test #57:

score: 32.17

Acceptable Answer

time: 34ms

memory: 3820kb

input:

output:

result:

points 0.42893333330 points  0.42893333330

Test #58:

score: 32.16

Acceptable Answer

time: 26ms

memory: 3824kb

input:

output:

result:

points 0.42880 points  0.42880

Test #59:

score: 37.52

Acceptable Answer

time: 31ms

memory: 3824kb

input:

output:

result:

points 0.50026666670 points  0.50026666670

Test #60:

score: 32.14

Acceptable Answer

time: 17ms

memory: 3820kb

input:

output:

result:

points 0.42853333330 points  0.42853333330

Test #61:

score: 37.53

Acceptable Answer

time: 6ms

memory: 3832kb

input:

output:

result:

points 0.50040 points  0.50040

Test #62:

score: 57.05

Acceptable Answer

time: 23ms

memory: 3896kb

input:

output:

result:

points 0.76066666670 points  0.76066666670

Test #63:

score: 64.38

Acceptable Answer

time: 23ms

memory: 3848kb

input:

output:

result:

points 0.85840 points  0.85840

Test #64:

score: 70.36

Acceptable Answer

time: 3ms

memory: 3780kb

input:

output:

result:

points 0.93813333330 points  0.93813333330

Test #65:

score: 75

Accepted

time: 0ms

memory: 3836kb

input:

output:

result:

ok

Test #66:

score: 75

Accepted

time: 29ms

memory: 3740kb

input:

output:

result:

ok

Test #67:

score: 75

Accepted

time: 6ms

memory: 3892kb

input:

output:

result:

ok

Test #68:

score: 45

Acceptable Answer

time: 18ms

memory: 3968kb

input:

output:

result:

points 0.60 points  0.60

Test #69:

score: 45

Acceptable Answer

time: 31ms

memory: 3784kb

input:

output:

result:

points 0.60 points  0.60

Test #70:

score: 37.5

Acceptable Answer

time: 16ms

memory: 4096kb

input:

output:

result:

points 0.50 points  0.50

Test #71:

score: 37.5

Acceptable Answer

time: 26ms

memory: 3844kb

input:

output:

result:

points 0.50 points  0.50

Test #72:

score: 57.04

Acceptable Answer

time: 9ms

memory: 3828kb

input:

output:

result:

points 0.76053333330 points  0.76053333330

Test #73:

score: 57.04

Acceptable Answer

time: 16ms

memory: 3832kb

input:

output:

result:

points 0.76053333330 points  0.76053333330

Test #74:

score: 64.36

Acceptable Answer

time: 8ms

memory: 3820kb

input:

output:

result:

points 0.85813333330 points  0.85813333330

Test #75:

score: 64.36

Acceptable Answer

time: 6ms

memory: 4124kb

input:

output:

result:

points 0.85813333330 points  0.85813333330

Test #76:

score: 45

Acceptable Answer

time: 10ms

memory: 4076kb

input:

output:

result:

points 0.60 points  0.60

Test #77:

score: 45

Acceptable Answer

time: 21ms

memory: 3820kb

input:

output:

result:

points 0.60 points  0.60

Test #78:

score: 57.03

Acceptable Answer

time: 5ms

memory: 3820kb

input:

output:

result:

points 0.76040 points  0.76040

Test #79:

score: 57.03

Acceptable Answer

time: 9ms

memory: 3892kb

input:

output:

result:

points 0.76040 points  0.76040

Test #80:

score: 57

Acceptable Answer

time: 5ms

memory: 3828kb

input:

output:

result:

points 0.760 points  0.760

Test #81:

score: 57

Acceptable Answer

time: 30ms

memory: 3896kb

input:

output:

result:

points 0.760 points  0.760

Test #82:

score: 45

Acceptable Answer

time: 23ms

memory: 3828kb

input:

output:

result:

points 0.60 points  0.60

Test #83:

score: 45

Acceptable Answer

time: 18ms

memory: 3820kb

input:

output:

result:

points 0.60 points  0.60

Test #84:

score: 49.47

Acceptable Answer

time: 7ms

memory: 3836kb

input:

output:

result:

points 0.65960 points  0.65960

Test #85:

score: 34.98

Acceptable Answer

time: 5ms

memory: 3780kb

input:

output:

result:

points 0.46640 points  0.46640

Test #86:

score: 25

Acceptable Answer

time: 13ms

memory: 3828kb

input:

output:

result:

points 0.33333333330 points  0.33333333330

Test #87:

score: 75

Accepted

time: 9ms

memory: 4104kb

input:

output:

result:

ok

Test #88:

score: 75

Accepted

time: 9ms

memory: 3824kb

input:

output:

result:

ok

Test #89:

score: 75

Accepted

time: 0ms

memory: 4124kb

input:

output:

result:

ok