CSES - NOI 2024

Submission details
Task:	Chair Game
Sender:	John Hedin
Submission time:	2024-03-21 00:51:09 +0200
Language:	C++ (C++17)
Status:	READY
Result:	100

Feedback
group	verdict	score
#1	ACCEPTED	8
#2	ACCEPTED	5
#3	ACCEPTED	4
#4	ACCEPTED	7
#5	ACCEPTED	12
#6	ACCEPTED	15
#7	ACCEPTED	20
#8	ACCEPTED	29

Test results
test	verdict	time	group
#1	ACCEPTED	0.01 s	1, 7, 8	details
#2	ACCEPTED	0.01 s	1, 7, 8	details
#3	ACCEPTED	0.01 s	1, 7, 8	details
#4	ACCEPTED	0.01 s	1, 7, 8	details
#5	ACCEPTED	0.01 s	1, 7, 8	details
#6	ACCEPTED	0.01 s	7, 8	details
#7	ACCEPTED	0.01 s	7, 8	details
#8	ACCEPTED	0.03 s	2, 8	details
#9	ACCEPTED	0.01 s	3, 4, 5, 6, 8	details
#10	ACCEPTED	0.01 s	3, 4, 5, 6, 8	details
#11	ACCEPTED	0.02 s	3, 4, 5, 6, 8	details
#12	ACCEPTED	0.06 s	3, 4, 5, 6, 8	details
#13	ACCEPTED	0.01 s	4, 5, 6, 7, 8	details
#14	ACCEPTED	0.02 s	4, 5, 6, 8	details
#15	ACCEPTED	0.02 s	4, 5, 6, 8	details
#16	ACCEPTED	0.05 s	4, 5, 6, 8	details
#17	ACCEPTED	0.01 s	5, 6, 7, 8	details
#18	ACCEPTED	0.01 s	5, 6, 8	details
#19	ACCEPTED	0.02 s	5, 6, 8	details
#20	ACCEPTED	0.06 s	5, 6, 8	details
#21	ACCEPTED	0.01 s	1, 6, 7, 8	details
#22	ACCEPTED	0.01 s	6, 7, 8	details
#23	ACCEPTED	0.02 s	6, 8	details
#24	ACCEPTED	0.06 s	6, 8	details
#25	ACCEPTED	0.03 s	8	details
#26	ACCEPTED	0.10 s	8	details
#27	ACCEPTED	0.02 s	3, 4, 5, 6, 8	details
#28	ACCEPTED	0.03 s	8	details
#29	ACCEPTED	0.10 s	8	details
#30	ACCEPTED	0.10 s	8	details

Code

#include <iostream>
#include <vector>
#include <set>

using namespace std;

bool debug = false;

typedef int ll;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef pair<ll,ll> pll;
typedef set<pll> sp;
typedef vector<sp> vsp;

#define rep(a,b,c) for(ll a = b; a < c; a++)
#define rrep(a,b,c) for(ll a = c-1; a >= b; a--)
#define itr_rep(a,b,_type) for(_type::iterator a = b.begin(); a != b.end(); a++)
#define pb push_back
#define mp make_pair
#define sz size
#define all(a) a.begin(),a.end()

ll t;
ll n;
vll s;

vvll inp;
vll n_list;

vll b;
vll c;
vll a;
vll a_inv;

void sol();
void op(ll index, ll target) { // makes b_{index} = target and adjusts b[n-1]
    swap(a[index],a[n-2]);
    swap(a_inv[a[index]],a_inv[a[n-2]]);
    swap(b[index],b[n-2]);
    swap(c[index],c[n-2]);
    b[n-1] = (b[n-1] + b[n-2] - target + n)%n;
    b[n-2] = target;

    while (true) {
        if ((a[n-1]+b[n-1])%n == c[n-1]%n) {return;} // done
        if ((a[n-1]+b[n-1])%n == c[n-2]%n) {
            swap(c[n-1],c[n-2]);
            return;
        }
        if ((a[n-2]+b[n-1])%n == c[n-1]%n) {
            swap(a[n-1],a[n-2]);
            swap(a_inv[a[n-1]],a_inv[a[n-2]]);
            return;
        }
        if ((a[n-2]+b[n-1])%n == c[n-2]%n) {
            swap(c[n-1],c[n-2]);
            swap(a[n-1],a[n-2]);
            swap(a_inv[a[n-1]],a_inv[a[n-2]]);
            return;
        }
        // fix b_{n-1} because b[n-1] is always the scapegoat thingy.
        ll r = a_inv[(n + c[n-2] - b[n-2])%n]; // x = c[n-2] - c[n-2] mod n

        swap(b[n-2],b[r]);
        swap(c[n-2],c[r]);
        swap(c[n-2],c[n-1]);
    }
}

int main() {
    cin >> t;
    inp.resize(t,vll());
    n_list.resize(t,0);
    rep(i,0,t) {
        cin >> n_list[i];
        inp[i].resize(n_list[i],0);
        rep(j,0,n_list[i]) {cin >> inp[i][j];}
    }

    rep(i,0,t) {
        n = n_list[i];
        s.resize(n,0);
        rep(j,0,n) {s[j] = inp[i][j];}
        ll _sum = 0;
        rep(j,0,n) {_sum += s[j];}
        if (_sum % n == 0) {sol();}
        else {cout << "NO" << endl;}
    }
    return 0;
}

void sol() {
    a.resize(n,0);
    b.resize(n,0);
    c.resize(n,0);
    a_inv.resize(n,0);
    rep(i,0,n) {a[i] = i;}
    rep(i,0,n) {b[i] = 0;}
    rep(i,0,n) {c[i] = i;}
    rep(i,0,n) {a_inv[i] = i;}

    ll loop;

    rep(i,0,n-1) {
        //rep(j,0,n) {cout << (j + b[a_inv[j]] - c[a_inv[j]] + n) % n << " ";}
        //cout << endl;
        loop = 0;
        while (loop < n) {
            if (b[loop] == 0) {
                op(loop, s[i]);
                loop = n;
            }
            loop++;
        }
    }
    if (n==1) {b[0] = s[0];}
    //rep(i,0,n) {cout << (i + b[a_inv[i]] - c[a_inv[i]] + n) % n << " ";}
    //cout << endl;

    rep(i,0,n) {if (b[i] == 0) {b[i] = n;}}

    cout << "YES" << endl;
    rep(i,0,n) {cout << b[a_inv[i]] << " ";}
    cout << endl; // Given that ai=i here too ???...
    //rep(i,0,n) {cout << c[a_inv[i]] << " ";}
    //cout << endl;
    return;
}
// We have been given some differences bi
// We also have ai = i
// We need i+bi to be distinct mod n for all i.

Test details

Test 1

Group: 1, 7, 8

Verdict: ACCEPTED

input
`637 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 2

Group: 1, 7, 8

Verdict: ACCEPTED

input
`246 7 1 1 1 1 1 1 1 7 1 1 2 1 1 7 1 ...` view save

correct output
`YES 1 1 1 1 1 1 1 YES 1 1 1 1 2 7 1 YES ...` view save

user output
`YES 1 1 1 1 1 1 1 YES 1 1 2 7 1 1 1 YES ...` Truncated

Test 3

Group: 1, 7, 8

Verdict: ACCEPTED

input
`810 8 1 1 1 1 1 1 1 1 8 1 1 1 8 1 1 2 1 ...` view save

correct output
`YES 1 1 1 1 1 1 1 1 YES 1 1 2 8 1 1 1 1 YES ...` view save

user output
`YES 1 1 1 1 1 1 1 1 YES 1 1 1 1 1 2 8 1 YES ...` Truncated

Test 4

Group: 1, 7, 8

Verdict: ACCEPTED

input
`1000 8 8 8 5 2 8 7 6 5 8 6 5 2 2 8 2 1 6 ...` view save

correct output
`NO YES 8 2 2 6 2 5 1 6 NO NO ...` view save

user output
`NO YES 2 2 6 2 5 1 6 8 NO NO ...` Truncated

Test 5

Group: 1, 7, 8

Verdict: ACCEPTED

input
`1000 8 2 1 7 7 2 3 8 2 8 4 1 5 4 7 3 5 3 ...` view save

correct output
`YES 7 2 2 7 1 3 8 2 YES 4 4 7 3 3 5 5 1 YES ...` view save

user output
`YES 1 2 2 7 3 8 2 7 YES 5 3 5 7 4 1 3 4 YES ...` Truncated

Test 6

Group: 7, 8

Verdict: ACCEPTED

input
`1000 16 15 16 6 4 14 2 1 6 2 16 10 2 9...` view save

correct output
`NO NO NO NO NO ...` view save

user output
`NO NO NO NO NO ...` Truncated

Test 7

Group: 7, 8

Verdict: ACCEPTED

input
`1000 16 2 4 13 6 8 16 12 8 16 5 9 5 9 ...` view save

correct output
`YES 13 5 2 8 12 2 8 5 16 16 9 6 9 ...` view save

user output
`YES 8 9 2 4 11 16 13 5 5 9 6 16 2 ...` Truncated

Test 8

Group: 2, 8

Verdict: ACCEPTED

input
`1000 1 1 2 1 2 ...` view save

correct output
`YES 1 NO YES 3 1 2 ...` view save

user output
`YES 1 NO YES 3 1 2 ...` Truncated

Test 9

Group: 3, 4, 5, 6, 8

Verdict: ACCEPTED

input
`988 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 10

Group: 3, 4, 5, 6, 8

Verdict: ACCEPTED

input
`199 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 11

Group: 3, 4, 5, 6, 8

Verdict: ACCEPTED

input
`1000 100 1 1 1 2 1 1 2 2 1 1 1 1 1 2 1 ...` view save

correct output
`NO NO NO NO NO ...` view save

user output
`NO NO NO NO NO ...` Truncated

Test 12

Group: 3, 4, 5, 6, 8

Verdict: ACCEPTED

input
`1000 100 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...` view save

correct output
`YES 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...` view save

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

Test 13

Group: 4, 5, 6, 7, 8

Verdict: ACCEPTED

input
`963 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 14

Group: 4, 5, 6, 8

Verdict: ACCEPTED

input
`979 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 15

Group: 4, 5, 6, 8

Verdict: ACCEPTED

input
`1000 100 3 3 1 2 1 1 2 3 1 3 2 1 1 3 1 ...` view save

correct output
`NO NO NO NO NO ...` view save

user output
`NO NO NO NO NO ...` Truncated

Test 16

Group: 4, 5, 6, 8

Verdict: ACCEPTED

input
`1000 100 1 2 2 2 2 1 1 1 2 3 1 1 3 2 1 ...` view save

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

user output
`YES 1 3 1 2 3 1 2 2 3 1 3 1 2 2 3 ...` Truncated

Test 17

Group: 5, 6, 7, 8

Verdict: ACCEPTED

input
`980 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 18

Group: 5, 6, 8

Verdict: ACCEPTED

input
`947 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 19

Group: 5, 6, 8

Verdict: ACCEPTED

input
`1000 100 1 2 4 2 1 3 1 2 2 3 1 1 3 1 4 ...` view save

correct output
`NO NO NO NO NO ...` view save

user output
`NO NO NO NO NO ...` Truncated

Test 20

Group: 5, 6, 8

Verdict: ACCEPTED

input
`1000 100 3 4 4 4 4 4 4 3 3 3 4 4 2 3 3 ...` view save

correct output
`YES 4 2 4 4 1 3 4 2 4 2 3 4 2 4 4 ...` view save

user output
`YES 2 3 3 4 2 4 4 1 4 2 4 2 3 3 4 ...` Truncated

Test 21

Group: 1, 6, 7, 8

Verdict: ACCEPTED

input
`715 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 22

Group: 6, 7, 8

Verdict: ACCEPTED

input
`843 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 23

Group: 6, 8

Verdict: ACCEPTED

input
`1000 100 3 4 5 1 4 4 2 3 2 3 4 1 1 1 2 ...` view save

correct output
`NO NO NO NO NO ...` view save

user output
`NO NO NO NO NO ...` Truncated

Test 24

Group: 6, 8

Verdict: ACCEPTED

input
`1000 100 5 3 4 3 5 3 3 5 5 4 5 5 5 5 2 ...` view save

correct output
`YES 4 4 5 5 2 4 4 5 3 5 5 2 5 5 2 ...` view save

user output
`YES 1 5 5 2 4 4 5 5 2 5 3 4 4 5 3 ...` Truncated

Test 25

Group: 8

Verdict: ACCEPTED

input
`1000 100 88 70 59 44 28 10 19 19 42 16 ...` view save

correct output
`NO NO NO NO NO ...` view save

user output
`NO NO NO NO NO ...` Truncated

Test 26

Group: 8

Verdict: ACCEPTED

input
`1000 100 31 72 52 30 77 56 79 10 88 11 ...` view save

correct output
`YES 31 62 14 10 66 63 1 82 37 92 3...` view save

user output
`YES 65 67 10 63 88 22 53 17 72 94 ...` Truncated

Test 27

Group: 3, 4, 5, 6, 8

Verdict: ACCEPTED

input
`1000 1 1 2 1 1 ...` view save

correct output
`YES 1 YES 1 1 YES ...` view save

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

Test 28

Group: 8

Verdict: ACCEPTED

input
`1000 1 1 2 2 2 ...` view save

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

user output
`YES 1 YES 2 2 YES ...` Truncated

Test 29

Group: 8

Verdict: ACCEPTED

input
`1000 100 87 81 29 35 8 98 77 50 46 34 5...` view save

correct output
`YES 34 74 25 91 80 18 95 26 88 12 ...` view save

user output
`YES 29 65 24 73 95 85 66 85 40 73 ...` Truncated

Test 30

Group: 8

Verdict: ACCEPTED

input
`1000 100 65 92 39 22 67 41 17 65 97 71 ...` view save

correct output
`YES 9 38 24 59 69 24 63 3 22 35 24...` view save

user output
`YES 98 35 41 7 77 52 63 97 38 70 8...` Truncated

NOI 2024

Chair Game

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

Test 16

Test 17

Test 18

Test 19

Test 20

Test 21

Test 22

Test 23

Test 24

Test 25

Test 26

Test 27

Test 28

Test 29

Test 30

Tasks

Submissions (John Hedin)