CSES - Datatähti 2025 alku - Results
Submission details
Task:Tikut
Sender:rottis
Submission time:2024-11-04 09:25:48 +0200
Language:C++ (C++17)
Status:READY
Result:20
Feedback
groupverdictscore
#10
#2ACCEPTED8
#3ACCEPTED12
#40
#50
#60
Test results
testverdicttimegroup
#1ACCEPTED0.00 s1, 3, 4, 5, 6details
#20.00 s1, 4, 5, 6details
#30.00 s1, 4, 5, 6details
#40.00 s1, 4, 5, 6details
#5ACCEPTED0.00 s2, 5, 6details
#6ACCEPTED0.00 s2, 5, 6details
#7ACCEPTED0.01 s3, 5, 6details
#8ACCEPTED0.01 s3, 5, 6details
#9ACCEPTED0.01 s3, 5, 6details
#10ACCEPTED0.01 s3, 5, 6details
#11ACCEPTED0.01 s3, 5, 6details
#120.00 s4, 5, 6details
#130.00 s4, 5, 6details
#140.00 s4, 5, 6details
#150.00 s4, 5, 6details
#160.00 s5, 6details
#170.00 s5, 6details
#180.00 s5, 6details
#190.00 s5, 6details
#200.08 s6details
#210.04 s6details
#220.08 s6details

Code

#include <iostream>
#include <stdlib.h>
#include <algorithm>    // std::sort

unsigned int n, m;

unsigned int *stick_lengths;


inline unsigned int min(unsigned int a, unsigned int b) {
    return (a < b ? a : b);
}

inline unsigned int max(unsigned int a, unsigned int b) {
    return (a > b ? a : b);
}

void n_is_one_sol() {
    for (unsigned int k = 1; k <= m; k++) {
        if (stick_lengths[0] % k == 0) {
            std::cout << "0 ";
        } else {
            std::cout << "1 ";
        }
    }
}

void p1_sol() {
    /* Osatehtävä 1 (7 pistettä)

        1 <= n <= 5
        1 <= m <= 10
        1 <= a_i <= 10 */
    // brute force? numbers are really small
    throw;
    for (unsigned int k = 1; k <= m; k++) {
        
    }
}

// WORKS
void p2_sol() {
    /* Osatehtävä 2 (8 pistettä)

        1 <= n <= 1000
        1 <= m <= 2000
        1 <= a_i <= 3  */
    unsigned int one_count = 0;
    unsigned int two_count = 0;
    unsigned int three_count = 0;

    unsigned int *solutions = (unsigned int*) malloc(m * sizeof(unsigned int));

    for (unsigned int i = 0; i < n; i++ ) {
        switch (stick_lengths[i]) {
            case 1:
                one_count++;
                break;
            case 2:
                two_count++;
                break;
            case 3:
                three_count++;
                break;
        }
    }

    unsigned int cuts_left = m;
    unsigned int i = 0;
    while (three_count > 0 && cuts_left > 0) {
        three_count--;
        one_count++;
        two_count++;
        if (three_count > 0) {
            solutions[i] = 2;
        } else {
            solutions[i] = 1;
        }
        cuts_left--;
        i++;
    }
    while (two_count > 0 && cuts_left > 0) {
        two_count--;
        one_count += 2;
        if (two_count > 0) {
            solutions[i] = 1;
        } else {
            solutions[i] = 0;
        }
        cuts_left--;
        i++;
    }

    std::cout << solutions[0];
    for (unsigned int j = 1; j < m; j++) {
        std::cout << ' ' << solutions[j];
    }
}

// WORKS
void p3_sol() {
    /* Osatehtävä 3 (12 pistettä)

        1 <= n <= 1000
        1 <= m <= 2
        1 <= a_i <= 1000 */
    unsigned int max_stick = stick_lengths[n-1];
    unsigned int best_sol_p1 = -1;
    for (unsigned int new_stick1_size = 1; new_stick1_size < max_stick; new_stick1_size++) {
        unsigned int new_stick2_size = max_stick - new_stick1_size;
        unsigned int min_stick = min(new_stick1_size, min(new_stick2_size, stick_lengths[0]));
        unsigned int max_stick = max(new_stick1_size, max(new_stick2_size, stick_lengths[n-2]));

        best_sol_p1 = min(best_sol_p1, max_stick - min_stick);
    }
    std::cout << best_sol_p1;
    
    if (m == 2) {
        // i don't care if the code is a little slow
        // nums are so small anyway...
        unsigned int best_sol_p2 = -1;
        
        unsigned int max_stick = stick_lengths[n-1];
        
        // if we cut the last stick into 3 parts
        for (unsigned int new_stick1_size = 1; new_stick1_size < max_stick - 1; new_stick1_size++) {
            for (unsigned int new_stick2_size = 1; new_stick2_size < max_stick - new_stick1_size; new_stick2_size++) {
                unsigned int new_stick3_size = max_stick - new_stick1_size - new_stick2_size;
                unsigned int min_stick = min(new_stick1_size, min(new_stick2_size, min(new_stick3_size, stick_lengths[0])));
                unsigned int max_stick = max(new_stick1_size, max(new_stick2_size, max(new_stick3_size, stick_lengths[n-2])));

                best_sol_p2 = min(best_sol_p2, max_stick - min_stick);
            }
        }
        // if we cut the last stick into 2 parts and the second to last stick into 2 parts
        // new_stick1, new_stick2 are from last stick
        // new_stick3, new_stick4 are from second to last stick
        for (unsigned int new_stick1_size = 1; new_stick1_size < max_stick; new_stick1_size++) {
            for (unsigned int new_stick3_size = 1; new_stick3_size < stick_lengths[n-2]; new_stick3_size++) {
                unsigned int new_stick2_size = max_stick - new_stick1_size;
                unsigned int new_stick4_size = stick_lengths[n-2] - new_stick3_size;
                unsigned int smallest_stick = (n >= 3 ? stick_lengths[0] : new_stick1_size);
                unsigned int largest_stick = (n >= 3 ? stick_lengths[n-3] : new_stick1_size);
                unsigned int min_stick = min(new_stick1_size, min(new_stick2_size, min(new_stick3_size, min(new_stick4_size, smallest_stick))));
                unsigned int max_stick = max(new_stick1_size, max(new_stick2_size, max(new_stick3_size, max(new_stick4_size, largest_stick))));

                best_sol_p2 = min(best_sol_p2, max_stick - min_stick);
            }
        }

        std::cout << ' ' << best_sol_p2;
    }
}

int main() {
    std::cin >> n >> m;
    stick_lengths = (unsigned int*) malloc((n) * sizeof(unsigned int));
    for (unsigned int i = 0; i < n; i++) {
        std::cin >> stick_lengths[i];
    }
    std::sort(stick_lengths, &stick_lengths[n]);
    /*for (int i = 0; i < n; i++) {
        std::cout << stick_lengths[i] << ' ';
    }*/
    
    if (n == 1) {
        n_is_one_sol();
    } else if (m <= 2 && n <= 1000 && stick_lengths[n-1] <= 1000) {
        p3_sol();
    } else if (n <= 5 && m <= 10 && stick_lengths[n-1] <= 10) {
        p1_sol();
    } else {
        // p4, p5, p6 don't get points anyway :)
        p2_sol();
    }
    std::cout << std::endl;

    return 0;
}

Test details

Test 1

Group: 1, 3, 4, 5, 6

Verdict: ACCEPTED

input
1 1
6

correct output

user output

Test 2

Group: 1, 4, 5, 6

Verdict:

input
5 10
4 8 6 2 7

correct output
5 4 2 2 2 1 1 1 1 1 

user output
(empty)

Error:
terminate called without an active exception

Test 3

Group: 1, 4, 5, 6

Verdict:

input
5 10
5 5 8 6 7

correct output
3 3 2 3 2 2 1 1 1 2 

user output
(empty)

Error:
terminate called without an active exception

Test 4

Group: 1, 4, 5, 6

Verdict:

input
5 10
8 7 9 6 10

correct output
4 4 3 3 2 2 1 2 2 1 

user output
(empty)

Error:
terminate called without an active exception

Test 5

Group: 2, 5, 6

Verdict: ACCEPTED

input
1000 1071
3 2 3 1 3 3 2 3 2 3 2 2 2 1 2 ...

correct output
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...

user output
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...

Test 6

Group: 2, 5, 6

Verdict: ACCEPTED

input
1000 1500
3 2 2 3 2 3 2 2 2 3 2 2 3 3 3 ...

correct output
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...

user output
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...

Test 7

Group: 3, 5, 6

Verdict: ACCEPTED

input
1000 2
15 710 210 347 398 66 318 277 ...

correct output
994 994 

user output
994 994

Test 8

Group: 3, 5, 6

Verdict: ACCEPTED

input
1000 2
743 890 592 942 736 969 616 50...

correct output
498 496 

user output
498 496

Test 9

Group: 3, 5, 6

Verdict: ACCEPTED

input
1000 2
987 968 920 994 988 918 914 95...

correct output
500 500 

user output
500 500

Test 10

Group: 3, 5, 6

Verdict: ACCEPTED

input
1000 2
996 1000 998 998 999 997 997 9...

correct output
500 500 

user output
500 500

Test 11

Group: 3, 5, 6

Verdict: ACCEPTED

input
1000 2
501 501 501 501 501 501 501 50...

correct output
1 168 

user output
1 168

Test 12

Group: 4, 5, 6

Verdict:

input
100 200
145 136 74 83 73 36 196 115 11...

correct output
194 190 189 183 182 181 181 17...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 13

Group: 4, 5, 6

Verdict:

input
100 200
157 110 168 155 192 107 146 15...

correct output
95 96 96 95 93 94 94 94 90 91 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 14

Group: 4, 5, 6

Verdict:

input
50 200
137 118 160 118 146 160 140 18...

correct output
98 98 98 96 90 91 88 88 84 86 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 15

Group: 4, 5, 6

Verdict:

input
100 200
147 174 186 148 155 128 158 18...

correct output
99 99 98 98 97 97 96 96 95 95 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 16

Group: 5, 6

Verdict:

input
1000 2000
928772177 816188227 216592201 ...

correct output
991676844 990940224 990685481 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 17

Group: 5, 6

Verdict:

input
1000 2000
665759876 597950008 615453266 ...

correct output
498801198 498681904 498504321 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 18

Group: 5, 6

Verdict:

input
500 2000
683288817 784230412 626685186 ...

correct output
497667621 498434895 495465990 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 19

Group: 5, 6

Verdict:

input
1000 2000
666667000 809309500 571572000 ...

correct output
499499500 499249250 498999000 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 20

Group: 6

Verdict:

input
100000 200000
861772559 734298084 983382252 ...

correct output
499973914 499985299 499985141 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 21

Group: 6

Verdict:

input
30000 200000
691834579 617419813 514778075 ...

correct output
499967533 499976270 499969810 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

Test 22

Group: 6

Verdict:

input
100000 200000
820255000 960780000 741965000 ...

correct output
499995000 499992500 499990000 ...

user output
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...