CSES - Datatähti 2021 loppu

Submission details
Task:	Kolmijako
Sender:	Mahtimursu
Submission time:	2021-01-23 18:36:24 +0200
Language:	C++ (C++11)
Status:	READY
Result:	22

Feedback
group	verdict	score
#1	ACCEPTED	22
#2	TIME LIMIT EXCEEDED	0

Test results
test	verdict	time	group
#1	ACCEPTED	0.01 s	1, 2	details
#2	ACCEPTED	0.01 s	1, 2	details
#3	ACCEPTED	0.01 s	1, 2	details
#4	ACCEPTED	0.01 s	1, 2	details
#5	ACCEPTED	0.01 s	1, 2	details
#6	ACCEPTED	0.01 s	1, 2	details
#7	ACCEPTED	0.01 s	1, 2	details
#8	ACCEPTED	0.01 s	1, 2	details
#9	ACCEPTED	0.01 s	2	details
#10	ACCEPTED	0.21 s	2	details
#11	ACCEPTED	0.21 s	2	details
#12	ACCEPTED	0.01 s	2	details
#13	TIME LIMIT EXCEEDED	--	2	details
#14	WRONG ANSWER	0.01 s	2	details
#15	ACCEPTED	0.01 s	2	details

Code

#include <bits/stdc++.h>

typedef long long ll;

#define M 1000000007
#define N (1 << 18)

using namespace std;

int ans[101];
int n;
ll sum;

void brute(int cn) {
    if (cn == n) {
        int sums[3] = {0};

        for (int i = 0; i < n; ++i) {
            sums[ans[i] - 1] += i + 1;
        }
        ll ts = 0;
        for (int i = 0; i < 3; ++i) {
            ts += sums[i];
        }
        //if (ts != sum) cout << "ERR";
        //cout << sums[0] << ", " << sums[1] << ", " << sums[2] << endl;
        int t = sum / 3;
        if (sums[0] == t - 1 && sums[1] == t && sums[2] == t + 1) {
            for (int i = 0; i < n; ++i) {
                cout << ans[i] << " ";
            }
            cout << "\n";
            //exit(0);
        }
    } else {
        ans[cn] = 1;
        brute(cn + 1);
        ans[cn] = 2;
        brute(cn + 1);
        ans[cn] = 3;
        brute(cn + 1);
    }
}

void send(int i) {
    if (i == n) {
        int sums[3] = {0};

        for (int i = 0; i < n; ++i) {
            sums[ans[i] - 1] += i + 1;
        }
        ll ts = 0;
        for (int i = 0; i < 3; ++i) {
            ts += sums[i];
        }
        //if (ts != sum) cout << "ERR";
        //cout << sums[0] << ", " << sums[1] << ", " << sums[2] << endl;
        int t = sum;
        if (sums[0] == t - 1 && sums[1] == t && sums[2] == t + 1) {
            for (int i = 0; i < n; ++i) {
                cout << ans[i] << " ";
            }
            cout << "\n";
            exit(0);
        }
    } else {
        if (ans[i] == 1) {
            send(i + 1);
        } else {
            ans[i] = 2;
            send(i + 1);
            ans[i] = 3;
            send(i + 1);
        }
    }
}

void solve() {
    // lisätään ykköseen paljon
    sum /= 3;
    for (int mx = 0; mx < n - 2; mx++) {
        //cout << mx << endl;
        for (int i = 0; i < n; ++i) {
            ans[i] = 0;
        }
        ll one = 0;
        for (int i = 0; i <= mx; ++i) {
            ans[i] = 1;
            one += i + 1;
        }
        ll req = sum - one - 1;
        //cout << req << endl;
        if ((req <= mx || req > n) && req != 0) {
            continue;
        }
        //cout << "h" << endl;
        if (req != 0)
            ans[req - 1] = 1;
        send(mx);
        /*ll two = 0;
        ll tre = 0;

        for (int i = n - 1; i >= 0; --i) {
            if (ans[i] != 0) continue;
            if (two < tre) {
                ans[i] = 2;
                two += i + 1;
            } else {
                ans[i] = 3;
                tre += i + 1;
            }
        } 
        cout << two << ", " << tre << endl;
        if (two == sum && tre == sum + 1) {
            for (int i = 0; i < n; ++i) {
                cout << ans[i] << " ";
            }
            cout << "\n";
            exit(0);
        }*/
    }
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cin >> n;
    sum = n * (n + 1) / 2;
	if (sum % 3 != 0) {
        cout << "IMPOSSIBLE";
        return 0;
    }
    solve();
    //brute(0);

	return 0;
}

Test details

Test 1

Group: 1, 2

Verdict: ACCEPTED

input
`3` view save

correct output
`1 2 3` view save

user output
`1 2 3` view save

Test 2

Group: 1, 2

Verdict: ACCEPTED

input
`4` view save

correct output
`IMPOSSIBLE` view save

user output
`IMPOSSIBLE` view save

Test 3

Group: 1, 2

Verdict: ACCEPTED

input
`5` view save

correct output
`1 3 1 3 2` view save

user output
`1 3 1 3 2` view save

Test 4

Group: 1, 2

Verdict: ACCEPTED

input
`6` view save

correct output
`1 3 2 2 1 3` view save

user output
`1 3 2 2 1 3` view save

Test 5

Group: 1, 2

Verdict: ACCEPTED

input
`7` view save

correct output
`IMPOSSIBLE` view save

user output
`IMPOSSIBLE` view save

Test 6

Group: 1, 2

Verdict: ACCEPTED

input
`8` view save

correct output
`2 3 1 2 3 3 2 1` view save

user output
`1 1 2 2 2 3 3 1` view save

Test 7

Group: 1, 2

Verdict: ACCEPTED

input
`9` view save

correct output
`1 2 3 1 2 3 3 2 1` view save

user output
`1 1 1 2 2 2 3 1 3` view save

Test 8

Group: 1, 2

Verdict: ACCEPTED

input
`10` view save

correct output
`IMPOSSIBLE` view save

user output
`IMPOSSIBLE` view save

Test 9

Group: 2

Verdict: ACCEPTED

input
`42` view save

correct output
`1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...` view save

user output
`1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...` view save

Test 10

Group: 2

Verdict: ACCEPTED

input
`95` view save

correct output
`1 3 1 3 2 1 2 3 3 2 1 1 2 3 3 ...` view save

user output
`1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...` Truncated

Test 11

Group: 2

Verdict: ACCEPTED

input
`96` view save

correct output
`1 3 2 2 1 3 1 2 3 3 2 1 1 2 3 ...` view save

user output
`1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...` Truncated

Test 12

Group: 2

Verdict: ACCEPTED

input
`97` view save

correct output
`IMPOSSIBLE` view save

user output
`IMPOSSIBLE` view save

Test 13

Group: 2

Verdict: TIME LIMIT EXCEEDED

input
`98` view save

correct output
`2 3 1 2 3 3 2 1 1 2 3 3 2 1 1 ...` view save

user output
(empty)

Test 14

Group: 2

Verdict: WRONG ANSWER

input
`99` view save

correct output
`1 2 3 1 2 3 3 2 1 1 2 3 3 2 1 ...` view save

user output
(empty)

Test 15

Group: 2

Verdict: ACCEPTED

input
`100` view save

correct output
`IMPOSSIBLE` view save

user output
`IMPOSSIBLE` view save

Datatähti 2021 loppu

Kolmijako

Code

Test details

Test 1

Test 2

Test 3

Test 4

Test 5

Test 6

Test 7

Test 8

Test 9

Test 10

Test 11

Test 12

Test 13

Test 14

Test 15

Tasks

Submissions (Mahtimursu)