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#798427#9783. Duloc Networkucup-team5071#WA 22ms4852kbC++206.9kb2024-12-04 13:43:072024-12-04 13:43:08

Judging History

你现在查看的是最新测评结果

  • [2024-12-04 13:43:08]
  • 评测
  • 测评结果:WA
  • 用时:22ms
  • 内存:4852kb
  • [2024-12-04 13:43:07]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

const bool TEST = false;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

struct interactor
{
    int n;
    int query_count;
    vector<vector<int>> G;
    int ans;
    void init()
    {
        query_count = 0;
        if (TEST)
        {
            n = 200;
            G = vector<vector<int>>(n, vector<int>(n));
            for (int i = 0; i < n; ++i)
            {
                for (int j = i + 1; j < n; ++j)
                {
                    G[i][j] = G[j][i] = 1;
                    break;

                    // int tmp = rng() % 100;
                    // int x = (tmp == 0);
                    // G[i][j] = G[j][i] = x;
                }
            }
            int viscnt = 0;
            vector<int> vis(n);
            auto dfs = [&](auto &self, int now) -> void
            {
                vis[now] = 1;
                viscnt++;
                for (int i = 0; i < n; ++i)
                {
                    if (!vis[i] && G[now][i] == 1)
                    {
                        self(self, i);
                    }
                }
            };
            dfs(dfs, 0);
            if (viscnt == n)
            {
                ans = 1;
            }
            else
            {
                ans = 0;
            }
        }
    }
    int readn()
    {
        if (TEST)
        {
            return n;
        }
        else
        {
            cin >> n;
            return n;
        }
    }
    int query(const string &s)
    {
        query_count++;
        if (TEST == true)
        {
            assert((int)s.size() == n);
            int cnt = 0;
            vector<int> ok(n);
            for (int i = 0; i < n; ++i) // i是否能选
            {
                if (s[i] == '1')
                {
                    continue;
                }
                for (int j = 0; j < n; ++j)
                {
                    if (i == j)
                        continue;
                    if (s[j] == '0')
                        continue;
                    if (G[i][j] == 1)
                    {
                        // cout << i << " " << j << endl;
                        ok[i] = 1;
                        cnt++;
                        break;
                    }
                }
            }
            // cout << "Q: " << s << " " << cnt << endl;
            return cnt;
        }
        else
        {
            cout << "? " << s << endl;
            int res;
            cin >> res;
            return res;
        }
    }
    void answer(int x)
    {
        if (TEST)
        {
            cout << query_count << endl;
            if (x != ans)
            {
                cout << "WA" << endl;
                cout << "ANS : " << ans << " OUT: " << x << endl;
                for (int i = 0; i < n; ++i)
                {
                    for (int j = 0; j < n; ++j)
                    {
                        cout << G[i][j] << " ";
                    }
                    cout << endl;
                }
                exit(1);
            }
            else
            {
                // cout << "AC" << endl;
            }
        }
        else
        {
            cout << "! " << x << endl;
        }
    }
    void outputG()
    {
        cout << n << endl;
        for (int i = 0; i < n; ++i)
        {
            for (int j = 0; j < n; ++j)
            {
                cout << G[i][j] << " ";
            }
            cout << endl;
        }
    }
} inter;
struct SSS
{
    set<int> st;
    int whitecnt;
    int id;
};

void solve()
{

    inter.init();
    // inter.outputG();
    int n = inter.readn();
    vector<int> fa(n);
    iota(fa.begin(), fa.end(), 0);
    vector<SSS> a(n);

    auto get_fa = [&](auto &self, int x) -> int
    {
        if (fa[x] != x)
        {
            return fa[x] = self(self, fa[x]);
        }
        else
        {
            return x;
        }
    };

    auto mergeset = [](const set<int> &s1, const set<int> &s2) -> set<int>
    {
        set<int> res;
        for (auto x : s1)
        {
            res.insert(x);
        }
        for (auto x : s2)
        {
            res.insert(x);
        }
        return res;
    };

    auto set2s = [&](const set<int> &s) -> string
    {
        string res;
        res.assign(n, '0');
        for (auto x : s)
        {
            res[x] = '1';
        }
        return res;
    };
    vector<int> SSS;
    int tot = 0;
    for (int i = 0; i < n; ++i)
    {
        set<int> setx{i};
        int res = inter.query(set2s(setx));
        if (res == 0)
        {
            inter.answer(0);
            return;
        }
        a[i].st = setx;
        a[i].whitecnt = res;
        a[i].id = ++tot;
    }
    set<pair<int, int>> vised;

    while (inter.query_count <= 3498)
    {
        int x = 0, y;
        // x = rng() % n;
        int minwhitecnt = -1;
        for (int i = 0; i < n; ++i)
        {
            int fx = get_fa(get_fa, i);
            if (a[fx].whitecnt > minwhitecnt)
            {
                x = i;
                minwhitecnt = a[fx].whitecnt;
            }
        }

        y = rng() % n;
        while (x == y)
        {
            // x = rng() % n;
            y = rng() % n;
        }
        if (x > y)
        {
            swap(x, y);
        }
        int fx = get_fa(get_fa, x);
        int fy = get_fa(get_fa, y);
        if (fx == fy)
            continue;
        int xid = a[fx].id;
        int yid = a[fy].id;

        auto p = make_pair(xid, yid);
        if (p.first > p.second)
        {
            swap(p.first, p.second);
        }
        if (vised.count(p))
            continue;
        // cout << x << " " << y << " " << fx << " " << fy << endl;
        set<int> newst = mergeset(a[fx].st, a[fy].st);
        int qres = inter.query(set2s(newst));
        if (qres == 0)
        {
            if ((int)newst.size() == n)
            {
                inter.answer(1);
                return;
            }
            else
            {
                inter.answer(0);
                return;
            }
        }
        if (qres == a[fx].whitecnt + a[fy].whitecnt)
        {
            vised.insert(p);
            continue;
        }

        fa[fx] = fy;
        a[fy].whitecnt = qres;
        for (auto x : a[fx].st)
        {
            a[fy].st.insert(x);
        }
        // cout << "merge fx=" << a[fx].id << " fy=" << a[fy].id << " newid=" << tot + 1 << endl;
        a[fy].id = ++tot;
    }
    //assert(1 == 2);
    inter.answer(1);
}
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);
    // int T = 1000;
    int T = 1;
    // cin >> T;
    while (T--)
        solve();
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3680kb

input:

4
1
3
2
2
2
1
0

output:

? 1000
? 0100
? 0010
? 0001
? 0101
? 1101
? 1111
! 1

result:

ok Correct answer with 7 queries.

Test #2:

score: 0
Accepted
time: 1ms
memory: 3864kb

input:

2
0

output:

? 10
! 0

result:

ok Correct answer with 1 queries.

Test #3:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

4
1
3
2
2
2
1
0

output:

? 1000
? 0100
? 0010
? 0001
? 1100
? 1101
? 1111
! 1

result:

ok Correct answer with 7 queries.

Test #4:

score: 0
Accepted
time: 1ms
memory: 3688kb

input:

2
0

output:

? 10
! 0

result:

ok Correct answer with 1 queries.

Test #5:

score: 0
Accepted
time: 1ms
memory: 3636kb

input:

50
3
1
1
1
1
4
3
1
1
2
3
3
2
1
2
4
3
1
1
1
2
4
1
3
1
4
3
2
2
2
4
2
2
1
1
2
1
2
4
1
1
3
3
3
6
2
1
3
2
3
7
8
10
14
12
11
11
12
13
12
11
13
15
14
16
14
13
14
12
11
12
10
10
11
11
12
13
15
13
16
13
11
12
12
11
14
15
13
13
13
13
14
13
14
12
11
12
12
13
13
11
11
10
11
10
9
10
9
10
10
10
8
8
7
7
6
7
7
5
4
...

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 132 queries.

Test #6:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

50
10
13
8
6
13
8
10
8
8
8
9
13
15
11
9
10
14
6
16
10
15
10
7
8
10
10
10
13
10
15
9
10
11
5
16
10
14
11
10
9
9
15
11
10
7
11
12
10
9
10
23
28
29
34
34
37
37
38
37
37
36
37
36
35
34
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
17
4
3
2
1
0

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 99 queries.

Test #7:

score: 0
Accepted
time: 2ms
memory: 3748kb

input:

50
1
3
1
4
3
1
1
1
1
3
1
1
1
1
3
5
1
1
1
1
3
2
5
1
2
1
4
1
2
3
4
3
3
2
3
1
1
1
1
3
2
2
1
3
4
2
4
2
3
2
8
6
6
6
10
6
7
7
7
8
7
8
8
8
6
6
8
6
6
8
9
7
8
9
9
10
8
10
12
11
11
11
13
11
12
11
12
12
11
12
10
11
10
12
11
11
10
12
13
14
12
13
13
14
12
11
11
12
12
11
10
11
11
11
11
11
10
9
9
8
9
10
8
7
8
8
6
...

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 168 queries.

Test #8:

score: 0
Accepted
time: 0ms
memory: 3700kb

input:

50
2
14
8
8
7
12
12
8
8
9
9
10
8
8
4
8
9
9
9
11
13
11
8
7
9
12
7
5
6
4
7
8
10
5
5
10
8
4
10
9
11
7
10
8
6
8
10
7
5
9
17
20
26
28
30
32
34
35
37
37
36
35
34
34
33
33
32
31
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
15
9
8
7
6
5
4
3
2
1
0

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 99 queries.

Test #9:

score: 0
Accepted
time: 2ms
memory: 3644kb

input:

50
3
1
1
1
2
1
1
1
1
5
1
2
1
1
1
1
3
1
1
2
1
1
1
2
2
1
1
1
1
3
1
2
1
1
2
3
1
2
3
2
1
3
1
2
3
1
2
2
1
1
6
6
6
7
8
7
6
7
4
5
6
6
8
8
6
7
5
6
5
6
8
7
7
6
8
7
7
5
5
6
6
6
4
5
6
6
7
5
5
6
7
6
6
6
6
8
6
6
7
6
6
8
6
5
6
8
5
6
8
6
4
4
5
5
7
5
5
5
5
5
6
5
3
4
4
4
6
6
4
5
4
4
4
3
4
6
6
5
4
5
4
4
2
4
4
4
2
4
4...

output:

? 10000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000
? 00010000000000000000000000000000000000000000000000
? 00001000000000000000000000000000000000000000000000
? 000001000000000000000000000000000...

result:

ok Correct answer with 221 queries.

Test #10:

score: 0
Accepted
time: 3ms
memory: 4004kb

input:

100
1
2
1
1
1
1
1
1
3
3
1
1
2
3
4
1
2
2
2
1
2
2
1
2
2
1
1
1
3
2
1
2
2
1
4
1
1
1
3
2
4
1
3
2
3
3
3
1
1
1
1
2
1
2
2
4
3
1
2
1
1
1
1
3
3
3
2
1
1
2
1
2
2
3
2
1
5
3
5
1
1
1
1
1
1
1
1
3
4
1
2
1
2
1
1
2
1
3
2
1
7
6
6
4
6
6
7
7
9
8
8
8
8
10
11
8
8
8
9
8
8
8
8
8
9
10
10
10
10
10
11
12
13
11
13
14
16
14
15
15...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 435 queries.

Test #11:

score: 0
Accepted
time: 2ms
memory: 4060kb

input:

100
11
13
9
11
8
7
15
12
8
8
7
6
9
12
11
9
10
9
11
16
10
8
9
8
10
6
8
9
13
10
9
7
5
11
14
6
11
16
7
7
8
8
11
8
13
15
11
12
11
11
11
9
10
12
10
6
11
10
5
13
9
9
6
6
6
12
7
12
10
10
9
11
7
11
5
6
9
6
5
9
5
16
11
13
13
10
5
5
8
8
12
11
5
8
8
10
8
10
8
10
28
23
31
36
46
51
53
56
61
61
65
65
67
69
68
68
...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 200 queries.

Test #12:

score: 0
Accepted
time: 2ms
memory: 4116kb

input:

100
5
3
3
4
2
2
2
8
4
5
4
4
2
2
3
4
6
5
1
4
3
3
2
5
5
2
2
4
3
4
4
4
4
1
3
5
3
4
4
3
3
4
1
3
3
2
5
5
5
1
3
4
3
4
2
2
4
2
1
3
3
7
3
5
5
6
6
1
3
2
3
3
3
2
1
6
3
5
5
3
4
4
2
2
1
5
7
3
3
1
6
2
2
5
2
5
3
3
6
4
10
10
11
13
11
11
10
9
13
11
15
13
13
17
17
20
20
25
22
22
22
26
27
31
29
31
31
35
38
37
37
37
3...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 214 queries.

Test #13:

score: 0
Accepted
time: 5ms
memory: 3920kb

input:

100
1
1
1
3
1
1
3
1
4
1
2
3
4
1
1
2
4
1
3
2
1
3
2
4
1
3
1
1
2
1
1
1
3
1
1
4
1
1
1
1
4
1
2
1
3
3
1
1
3
4
1
2
2
3
3
1
1
1
1
4
1
1
1
1
1
2
2
2
2
1
2
2
2
2
2
1
1
2
5
1
2
2
1
1
2
2
2
4
1
1
1
5
4
1
3
1
1
1
2
1
5
6
6
6
6
6
6
6
6
7
7
5
7
9
6
8
6
6
6
6
8
7
8
9
6
7
8
7
8
7
8
7
7
8
8
8
7
7
10
7
8
9
7
9
9
8
8
7...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 590 queries.

Test #14:

score: 0
Accepted
time: 0ms
memory: 3780kb

input:

100
1
1
2
3
1
3
2
1
1
1
1
1
1
4
1
1
1
2
1
1
2
3
1
1
1
2
1
2
2
2
1
2
1
1
1
4
3
1
1
1
1
2
2
3
2
1
1
1
1
1
1
1
1
5
3
1
1
2
1
1
2
1
2
2
1
2
3
1
1
1
1
1
3
1
1
1
1
1
3
1
1
1
2
2
1
3
3
2
1
4
3
1
2
3
1
1
2
1
2
1
7
7
8
6
8
8
6
6
8
7
7
7
6
6
6
6
6
8
6
6
6
6
7
6
6
8
6
7
7
6
6
6
7
6
7
6
6
7
6
7
6
6
5
8
7
4
5
6
...

output:

? 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 00100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 831 queries.

Test #15:

score: 0
Accepted
time: 0ms
memory: 4244kb

input:

150
4
2
3
2
2
3
2
4
3
3
4
2
2
4
6
1
3
2
3
5
3
4
4
3
6
3
1
2
4
5
5
3
2
3
3
2
3
1
2
4
2
4
4
1
2
3
2
3
1
1
4
4
3
2
2
1
3
3
1
2
1
6
1
3
2
4
1
4
2
1
4
3
4
1
3
4
2
4
2
5
3
4
2
6
6
2
2
2
3
2
4
4
4
2
2
1
2
1
3
2
3
7
2
1
3
2
5
4
1
2
3
2
3
2
3
5
3
4
5
2
3
1
3
1
2
3
1
3
1
2
3
3
2
3
7
1
2
1
4
2
2
2
3
4
4
3
6
3
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 343 queries.

Test #16:

score: 0
Accepted
time: 2ms
memory: 4128kb

input:

150
4
2
2
1
2
1
1
8
1
2
1
3
4
2
1
4
3
2
1
4
3
1
1
4
5
3
2
3
3
2
4
1
3
4
4
5
4
2
6
4
2
2
2
2
3
6
2
3
3
4
3
3
2
3
2
4
2
1
1
1
1
2
2
4
2
3
3
3
7
1
4
3
3
3
4
2
2
1
2
2
2
1
2
4
2
1
2
2
4
2
2
4
2
6
2
4
4
2
1
2
4
2
5
1
4
3
3
1
2
4
4
2
2
3
4
1
4
2
2
3
3
3
2
3
2
6
3
3
2
3
1
1
3
5
2
3
2
2
2
3
1
3
3
4
3
3
2
3
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 358 queries.

Test #17:

score: 0
Accepted
time: 4ms
memory: 4136kb

input:

150
3
1
4
1
4
2
3
1
1
3
1
1
4
5
7
1
2
1
2
3
4
2
3
5
1
5
1
2
2
5
3
6
2
2
1
3
5
1
3
2
2
3
1
2
1
3
2
2
1
3
2
2
2
5
1
2
2
5
5
2
3
4
1
3
1
2
1
2
2
1
1
5
3
1
3
1
2
3
1
2
2
2
1
4
1
2
2
5
3
2
1
4
2
2
5
1
3
3
1
4
3
2
4
1
5
3
4
2
2
3
1
2
4
3
3
2
1
2
3
1
1
2
1
3
4
3
1
2
4
4
3
1
7
4
1
1
1
1
4
3
2
3
2
2
1
3
3
1
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 394 queries.

Test #18:

score: 0
Accepted
time: 4ms
memory: 4180kb

input:

150
4
4
5
4
2
2
5
3
1
4
2
2
3
1
1
2
2
3
3
3
8
2
1
3
2
2
3
1
1
3
2
3
2
3
3
7
1
2
1
5
4
1
4
4
3
2
3
2
5
7
3
2
1
2
1
3
5
3
3
6
3
3
5
3
5
5
1
4
2
5
2
3
2
2
1
3
2
2
2
2
1
3
2
1
2
5
4
3
6
3
2
3
1
2
3
3
1
4
2
2
2
3
4
3
1
5
2
1
5
2
4
6
3
3
2
3
3
2
3
1
5
1
3
2
3
8
2
5
1
4
5
4
1
1
3
1
1
1
5
3
1
3
4
2
3
2
2
4
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 370 queries.

Test #19:

score: 0
Accepted
time: 2ms
memory: 4156kb

input:

150
2
1
1
3
2
2
2
1
1
1
1
1
2
2
2
1
1
3
3
2
2
1
2
1
2
5
4
2
1
2
2
2
2
1
2
1
2
1
2
3
3
2
3
2
1
1
2
2
3
1
2
1
1
3
3
2
4
2
1
1
2
5
2
2
2
2
1
1
3
2
1
3
1
5
3
1
3
1
4
1
2
1
3
1
1
1
3
1
1
2
1
5
3
1
1
1
2
1
2
1
2
1
1
2
2
3
1
2
1
2
2
2
2
2
3
1
5
2
1
2
3
2
1
2
4
1
1
2
3
3
3
1
2
1
3
2
2
1
1
2
2
3
1
1
1
1
4
1
...

output:

? 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 803 queries.

Test #20:

score: 0
Accepted
time: 6ms
memory: 3828kb

input:

200
1
3
1
3
3
1
1
1
1
1
2
1
3
2
2
1
1
3
1
2
1
1
1
1
2
2
1
1
1
2
1
4
1
1
1
1
2
1
1
2
3
1
1
1
4
1
1
1
1
3
1
1
1
1
2
1
1
1
1
2
1
2
1
2
1
1
1
1
1
4
1
1
1
1
1
1
1
1
1
2
1
1
2
1
2
2
2
4
1
2
1
1
5
2
1
1
2
1
1
1
1
1
1
1
1
2
1
1
1
1
1
3
1
2
1
1
3
1
1
1
2
1
5
1
1
1
1
4
1
4
1
1
3
1
3
1
3
1
1
4
1
2
1
3
1
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1730 queries.

Test #21:

score: 0
Accepted
time: 2ms
memory: 4112kb

input:

200
3
2
2
2
2
2
1
1
1
4
2
1
2
2
2
2
1
1
2
1
1
3
1
1
2
2
2
3
1
2
1
1
2
1
2
2
2
3
3
3
2
2
1
1
4
1
1
2
2
2
2
1
2
2
1
3
2
3
2
1
1
1
1
1
2
2
1
1
2
1
1
4
2
1
1
1
1
2
3
2
1
2
3
4
1
1
2
5
5
2
1
3
2
3
1
3
1
2
1
2
1
1
3
2
2
3
3
4
1
1
2
1
3
2
1
1
1
1
1
4
2
1
1
1
1
2
2
2
3
2
2
2
1
1
1
2
3
3
2
2
2
3
1
4
1
3
2
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1805 queries.

Test #22:

score: 0
Accepted
time: 7ms
memory: 4508kb

input:

200
1
2
1
1
1
3
1
1
2
1
2
3
2
3
1
3
2
1
3
1
2
3
1
1
1
2
2
1
4
2
1
1
5
2
3
1
3
3
2
2
2
2
1
2
3
3
2
2
1
1
4
2
2
2
5
2
2
3
3
3
2
1
2
2
2
1
1
2
2
1
1
1
3
2
3
2
1
3
3
3
2
2
1
2
2
5
1
3
3
1
1
1
1
1
3
1
1
1
1
4
3
1
3
1
3
2
1
3
3
1
1
4
1
2
2
2
1
2
3
2
4
3
1
1
3
3
1
1
2
1
1
2
2
1
1
1
3
1
2
1
1
1
2
3
2
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1383 queries.

Test #23:

score: 0
Accepted
time: 5ms
memory: 4836kb

input:

200
1
1
1
1
1
2
3
2
1
1
4
1
2
2
3
2
3
1
2
1
2
2
3
2
1
3
3
3
2
4
2
4
4
1
2
2
2
3
3
1
2
1
2
1
2
4
1
1
2
2
1
2
2
2
2
2
2
1
3
1
2
2
2
2
1
2
1
4
1
4
1
2
1
1
2
1
1
3
2
3
1
2
3
2
1
2
3
1
1
1
3
2
2
1
1
2
3
3
3
4
1
3
1
2
1
3
4
1
1
3
1
2
2
1
4
1
3
2
2
2
1
1
1
2
3
2
2
1
3
1
1
3
2
1
2
3
1
3
4
2
3
2
1
1
4
2
1
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1009 queries.

Test #24:

score: 0
Accepted
time: 6ms
memory: 4764kb

input:

200
1
3
2
2
3
3
2
2
2
2
3
2
1
1
4
4
3
4
4
3
3
2
4
6
2
6
3
3
1
1
3
3
2
2
2
2
4
2
2
4
2
3
3
3
2
3
5
3
3
2
6
1
2
4
2
2
4
4
2
4
3
2
2
2
2
3
3
2
1
5
3
2
5
3
3
3
3
2
3
2
1
2
2
1
1
3
3
3
3
4
2
2
5
3
3
4
4
1
1
2
2
2
1
2
2
1
1
2
2
4
1
3
4
3
4
2
4
1
5
1
2
2
4
3
1
4
2
3
2
4
3
7
3
1
2
3
2
3
8
7
5
4
4
3
1
5
3
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 519 queries.

Test #25:

score: 0
Accepted
time: 6ms
memory: 4560kb

input:

200
6
6
5
5
3
3
1
3
2
4
6
4
5
5
3
7
5
3
7
10
6
4
8
1
2
3
4
3
4
5
5
6
2
5
5
10
10
1
1
7
2
3
6
4
2
8
5
3
3
3
1
7
5
9
4
3
2
4
3
3
3
3
7
7
4
2
4
1
9
4
4
3
6
6
1
4
2
2
7
5
6
3
7
3
5
4
4
6
2
3
4
5
9
6
2
8
4
6
3
1
7
4
3
4
3
8
3
8
12
3
4
3
3
7
2
7
7
6
8
5
3
6
6
3
6
4
5
7
6
3
1
3
1
3
1
2
4
2
5
2
4
4
5
3
5
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 418 queries.

Test #26:

score: 0
Accepted
time: 2ms
memory: 4540kb

input:

200
2
9
4
4
6
4
2
3
4
5
5
4
5
7
6
3
3
5
3
1
5
4
4
7
3
4
1
3
5
1
6
2
4
4
4
5
2
3
1
2
5
4
3
3
5
4
2
4
5
3
4
3
3
5
5
3
3
4
1
3
4
2
5
7
1
5
7
7
4
6
6
7
7
5
4
6
3
3
4
5
5
4
2
5
7
2
3
3
1
4
3
7
4
4
5
3
9
4
5
7
5
4
6
4
9
6
3
3
7
3
4
4
5
4
5
2
5
5
4
6
4
8
5
6
3
6
3
8
4
2
8
5
2
3
8
3
1
2
6
2
5
6
6
2
7
1
4
7
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 425 queries.

Test #27:

score: 0
Accepted
time: 2ms
memory: 4700kb

input:

200
4
3
3
1
5
5
4
1
1
4
5
2
2
2
1
5
3
5
4
2
6
7
2
6
1
1
8
2
8
4
3
4
1
5
2
1
4
3
3
4
2
3
5
5
2
1
3
4
2
8
2
4
4
3
6
4
7
1
1
6
2
6
4
5
6
2
1
6
2
2
9
3
3
1
1
1
2
5
3
6
1
2
3
4
7
3
2
5
4
5
3
3
4
6
5
4
6
4
1
2
4
6
8
3
2
4
3
3
5
6
5
4
3
4
4
3
5
2
2
4
5
5
4
2
1
6
3
5
7
6
3
2
2
6
3
1
4
4
4
3
2
1
3
1
4
6
4
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 438 queries.

Test #28:

score: 0
Accepted
time: 6ms
memory: 4584kb

input:

200
6
1
8
4
8
7
3
6
3
2
6
4
10
6
6
7
1
3
9
5
5
3
4
3
5
6
2
3
3
4
5
3
3
6
2
5
3
6
3
10
3
5
2
6
5
6
5
8
2
6
4
3
8
4
3
3
4
7
2
4
4
3
4
5
4
4
2
4
10
9
5
9
9
5
2
8
6
3
2
3
2
1
5
3
5
4
2
5
3
5
3
4
2
5
3
4
2
5
5
2
4
5
3
5
3
2
2
6
5
2
4
6
12
6
9
3
3
4
5
4
6
7
4
4
2
3
6
7
4
4
4
4
5
6
4
9
4
5
6
5
5
3
5
3
3
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 419 queries.

Test #29:

score: 0
Accepted
time: 0ms
memory: 4688kb

input:

200
7
4
6
3
4
2
3
3
1
9
4
6
2
4
7
3
4
4
3
8
5
6
3
7
10
5
7
4
5
2
3
6
3
2
3
3
3
1
6
5
3
3
4
4
3
5
4
3
5
4
5
8
4
4
5
4
6
3
3
6
4
2
3
4
3
3
2
2
4
4
2
6
3
8
5
4
2
7
2
5
6
5
2
9
2
4
4
5
1
5
9
6
6
8
5
2
5
7
3
4
6
4
2
3
4
6
6
5
7
4
7
7
2
5
6
3
4
3
4
4
6
2
2
5
2
4
5
6
3
5
3
8
4
2
2
4
6
2
9
6
3
8
4
5
6
2
3
7...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 419 queries.

Test #30:

score: 0
Accepted
time: 0ms
memory: 4508kb

input:

200
2
2
2
1
1
2
1
1
2
1
2
1
1
1
1
2
3
2
1
1
3
2
2
4
2
1
3
3
2
1
1
3
5
1
3
1
1
2
1
1
2
3
4
2
1
1
2
3
1
5
1
2
1
2
2
3
3
3
2
1
2
2
2
3
1
1
3
1
1
1
1
4
3
1
2
2
2
3
3
1
2
2
3
3
1
3
1
2
3
2
2
1
2
2
1
2
1
2
2
1
1
2
2
1
1
3
2
1
2
5
1
2
3
3
1
1
3
3
3
1
1
3
1
1
2
2
2
3
3
2
2
2
1
2
1
2
2
4
3
2
3
3
2
4
2
3
2
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1146 queries.

Test #31:

score: 0
Accepted
time: 10ms
memory: 4852kb

input:

200
1
1
2
3
1
1
1
3
2
1
1
2
1
2
3
3
1
3
1
1
2
2
3
1
1
2
2
4
3
2
2
2
2
3
1
3
2
1
2
1
1
3
1
2
2
1
1
2
1
1
3
3
2
2
2
4
1
2
1
2
2
2
3
1
2
4
2
2
1
1
2
2
2
2
1
1
2
2
2
3
2
3
1
2
4
2
1
3
1
1
3
1
3
2
3
2
2
2
2
2
3
3
1
3
3
1
1
1
2
2
1
1
3
3
1
1
3
2
3
1
1
2
2
2
2
1
3
2
1
1
3
1
3
2
2
6
1
2
2
2
3
2
2
1
1
3
1
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 881 queries.

Test #32:

score: 0
Accepted
time: 7ms
memory: 4784kb

input:

200
1
2
4
1
2
3
3
1
1
4
2
3
2
4
2
2
3
2
1
3
1
2
2
1
1
2
2
2
1
3
1
2
1
3
1
2
5
3
1
4
1
2
1
1
1
3
1
1
3
1
1
1
1
3
1
2
2
2
3
1
2
1
2
1
1
3
3
4
4
1
2
1
1
1
1
4
2
1
1
1
2
3
1
2
2
2
2
1
2
4
2
2
2
3
2
1
2
1
2
1
1
2
2
1
2
3
3
1
1
2
3
3
2
1
3
1
2
1
2
2
3
3
3
4
1
1
1
4
3
1
1
2
4
2
1
3
3
1
1
4
4
2
2
3
1
3
3
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1165 queries.

Test #33:

score: 0
Accepted
time: 16ms
memory: 3980kb

input:

200
1
1
3
3
3
1
3
3
2
1
1
5
3
3
1
1
1
1
3
3
1
1
2
2
1
1
2
2
1
1
1
2
2
1
3
2
3
2
4
1
3
1
2
1
1
4
1
1
4
1
2
1
2
3
4
2
2
2
2
1
1
1
3
3
2
2
3
4
1
1
1
1
1
1
2
3
3
3
1
2
1
2
2
3
1
3
2
3
2
1
3
2
1
2
2
2
1
4
1
3
5
2
1
1
5
2
1
1
3
1
2
3
2
1
1
1
3
4
1
1
2
1
1
5
2
2
1
2
1
1
3
1
2
4
2
1
4
3
2
1
6
2
2
2
2
4
1
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1735 queries.

Test #34:

score: 0
Accepted
time: 5ms
memory: 4548kb

input:

200
2
1
2
2
2
3
3
3
1
1
1
3
3
1
1
2
2
1
2
2
3
3
1
2
1
2
4
3
3
1
2
2
2
2
3
2
1
4
1
3
1
2
2
2
1
1
2
5
1
1
1
2
3
1
1
3
1
1
1
4
1
2
4
1
1
1
3
2
2
2
2
2
1
2
3
3
2
1
2
2
4
1
3
1
1
2
1
3
1
2
4
2
2
2
1
1
2
4
1
1
1
1
5
3
2
3
2
4
2
2
2
1
2
2
4
1
2
2
1
2
1
2
1
2
2
1
1
2
2
1
1
2
2
2
3
2
1
2
3
3
3
1
2
1
2
2
4
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1018 queries.

Test #35:

score: 0
Accepted
time: 11ms
memory: 3864kb

input:

200
3
3
2
2
3
2
2
3
2
3
2
3
1
3
2
2
2
2
3
2
2
2
2
3
2
2
2
3
2
2
3
3
3
2
2
2
1
2
2
2
3
2
2
1
3
3
3
2
3
3
2
2
2
3
3
2
2
3
2
3
3
3
1
2
3
2
2
2
1
3
3
2
2
2
2
3
2
2
2
3
2
2
3
1
2
2
2
2
3
2
2
2
2
2
3
1
2
3
2
3
1
2
2
2
3
2
2
2
2
3
3
2
2
3
2
2
3
2
3
2
3
2
2
2
3
2
2
3
2
3
2
2
2
1
2
2
3
3
2
3
2
2
2
2
2
3
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 2778 queries.

Test #36:

score: 0
Accepted
time: 11ms
memory: 3952kb

input:

200
1
2
2
2
3
2
3
2
3
3
2
3
2
3
3
3
2
3
2
3
2
3
2
2
3
2
3
2
2
3
2
2
3
2
3
3
2
3
2
3
2
3
2
3
3
2
2
2
2
1
1
2
2
2
3
2
3
2
3
3
2
3
2
3
3
3
2
3
2
3
2
3
2
2
3
2
3
2
2
3
2
2
3
2
3
3
2
3
2
3
2
3
2
3
3
2
2
2
2
1
1
2
2
2
3
2
3
2
3
3
2
3
2
3
3
3
2
3
2
3
2
3
2
2
3
2
3
2
2
3
2
2
3
2
3
3
2
3
2
3
2
3
2
3
3
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1948 queries.

Test #37:

score: 0
Accepted
time: 11ms
memory: 4464kb

input:

200
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
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:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3499 queries.

Test #38:

score: 0
Accepted
time: 7ms
memory: 4228kb

input:

200
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3066 queries.

Test #39:

score: 0
Accepted
time: 18ms
memory: 4184kb

input:

200
3
1
2
1
1
2
2
1
2
1
1
1
2
3
3
1
2
1
2
1
2
1
3
1
1
2
2
2
1
1
2
3
2
3
2
1
1
1
1
1
3
3
2
2
2
3
3
2
2
2
2
2
1
2
2
4
1
1
4
3
2
1
1
5
1
1
1
1
2
3
2
2
1
2
1
3
1
1
1
2
2
3
1
2
1
1
1
3
2
3
1
2
1
1
3
2
3
2
2
1
2
1
2
2
2
2
1
2
3
2
2
1
1
2
1
2
4
1
2
1
3
2
1
1
2
1
1
4
2
1
2
2
2
1
3
2
3
5
2
2
2
1
1
4
1
1
2
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1776 queries.

Test #40:

score: 0
Accepted
time: 12ms
memory: 4568kb

input:

200
2
1
2
4
2
2
1
2
1
3
2
1
1
3
3
1
1
1
3
2
2
1
2
2
2
3
1
1
4
2
1
3
3
4
3
4
3
2
1
3
3
2
3
1
3
2
1
4
1
1
5
2
1
2
1
2
1
1
2
2
4
4
1
2
1
3
2
2
1
3
2
3
1
3
1
1
1
2
1
1
2
1
1
2
1
1
1
1
2
1
1
3
1
2
5
1
2
3
4
1
1
1
4
3
1
2
1
2
1
2
2
2
3
2
2
2
2
1
1
2
2
4
2
4
1
1
1
3
3
2
3
3
2
1
2
1
1
2
1
2
2
3
2
1
3
1
3
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1237 queries.

Test #41:

score: 0
Accepted
time: 6ms
memory: 4568kb

input:

200
3
2
1
2
4
3
2
1
1
2
2
1
2
6
2
1
1
1
1
2
3
1
3
1
1
2
2
1
3
2
1
4
3
3
1
3
2
5
1
3
1
3
2
2
1
1
2
1
3
2
3
4
3
1
2
1
3
2
3
1
2
1
1
2
2
1
1
1
1
2
1
3
1
1
2
2
1
3
2
2
5
1
2
3
3
2
2
2
6
1
1
1
2
1
2
2
1
1
1
2
1
1
2
2
1
2
4
1
3
3
2
2
1
2
2
3
3
1
3
2
2
2
3
3
3
3
1
2
1
1
3
1
3
3
4
3
3
1
3
4
2
2
2
1
1
2
3
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1141 queries.

Test #42:

score: 0
Accepted
time: 10ms
memory: 4776kb

input:

200
4
4
1
1
3
2
2
2
3
2
1
1
3
2
3
1
2
2
2
2
1
5
2
4
4
4
1
1
1
3
3
1
1
2
1
2
1
1
1
4
1
2
1
1
2
2
1
4
2
1
1
2
1
2
1
2
1
1
1
1
2
1
1
2
1
1
2
3
2
1
1
3
2
2
1
1
3
2
2
2
2
3
2
2
1
1
2
1
2
1
2
2
2
4
4
1
2
2
2
1
2
1
2
1
2
1
2
1
2
3
3
4
4
3
4
1
1
1
3
5
4
4
2
1
3
2
3
3
2
1
1
1
1
1
3
1
1
2
1
1
2
1
1
4
2
1
2
3
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 876 queries.

Test #43:

score: 0
Accepted
time: 12ms
memory: 4088kb

input:

200
1
1
2
3
2
2
2
3
2
2
3
4
1
4
3
2
1
1
3
4
1
2
3
3
2
1
1
1
4
2
3
3
4
1
1
1
1
1
3
1
2
1
2
3
1
1
2
1
3
2
2
1
3
2
5
2
1
1
2
2
1
1
2
1
2
3
2
4
1
2
2
4
1
2
2
1
2
1
2
2
1
1
1
1
2
1
1
4
1
2
1
4
2
3
3
1
2
2
1
1
2
2
4
1
1
2
2
1
3
1
3
2
2
1
2
2
3
2
2
2
1
1
1
1
1
3
5
1
3
2
2
3
2
2
2
1
1
1
2
2
3
2
2
1
1
1
2
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 1651 queries.

Test #44:

score: 0
Accepted
time: 6ms
memory: 4612kb

input:

200
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 399 queries.

Test #45:

score: 0
Accepted
time: 1ms
memory: 3728kb

input:

200
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
198
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 188 queries.

Test #46:

score: 0
Accepted
time: 7ms
memory: 4168kb

input:

200
16
14
18
11
22
8
14
26
11
12
15
14
20
9
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 762 queries.

Test #47:

score: 0
Accepted
time: 0ms
memory: 4520kb

input:

200
15
15
16
19
17
16
13
16
6
17
13
16
13
20
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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1...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 630 queries.

Test #48:

score: 0
Accepted
time: 18ms
memory: 4360kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3499 queries.

Test #49:

score: 0
Accepted
time: 15ms
memory: 4456kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3499 queries.

Test #50:

score: 0
Accepted
time: 16ms
memory: 4616kb

input:

200
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3000 queries.

Test #51:

score: 0
Accepted
time: 21ms
memory: 4632kb

input:

200
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3434 queries.

Test #52:

score: 0
Accepted
time: 5ms
memory: 4064kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3499 queries.

Test #53:

score: 0
Accepted
time: 6ms
memory: 4304kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3097 queries.

Test #54:

score: 0
Accepted
time: 8ms
memory: 4236kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 2457 queries.

Test #55:

score: 0
Accepted
time: 20ms
memory: 4532kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 2944 queries.

Test #56:

score: 0
Accepted
time: 18ms
memory: 4188kb

input:

200
2
2
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3499 queries.

Test #57:

score: 0
Accepted
time: 21ms
memory: 4228kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3497 queries.

Test #58:

score: 0
Accepted
time: 10ms
memory: 4460kb

input:

200
2
2
2
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3
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1
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3051 queries.

Test #59:

score: 0
Accepted
time: 17ms
memory: 4508kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 2934 queries.

Test #60:

score: 0
Accepted
time: 14ms
memory: 4460kb

input:

200
2
2
2
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1
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3177 queries.

Test #61:

score: 0
Accepted
time: 15ms
memory: 4536kb

input:

200
2
2
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 2705 queries.

Test #62:

score: 0
Accepted
time: 22ms
memory: 4208kb

input:

200
2
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...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3474 queries.

Test #63:

score: 0
Accepted
time: 11ms
memory: 4256kb

input:

200
2
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2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 3356 queries.

Test #64:

score: 0
Accepted
time: 12ms
memory: 4648kb

input:

200
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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1
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1
2
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2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

ok Correct answer with 2610 queries.

Test #65:

score: -100
Wrong Answer
time: 15ms
memory: 3992kb

input:

200
2
2
2
2
2
2
2
2
1
2
2
2
2
2
2
2
2
2
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1
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1
2
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3
2
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1
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2
2
2
2
2
...

output:

? 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
? 01000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000...

result:

wrong answer Wrong answer.