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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#728419#9570. Binary Treeucup-team5243#AC ✓389ms9220kbC++1714.5kb2024-11-09 15:07:592024-11-09 15:08:07

Judging History

你现在查看的是最新测评结果

  • [2024-11-09 15:08:07]
  • 评测
  • 测评结果:AC
  • 用时:389ms
  • 内存:9220kb
  • [2024-11-09 15:07:59]
  • 提交

answer

#ifdef NACHIA
#define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <map>
#include <array>
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(int i=0; i<int(n); i++)
const i64 INF = 1001001001001001001;
template<typename A> void chmin(A& l, const A& r){ if(r < l) l = r; }
template<typename A> void chmax(A& l, const A& r){ if(l < r) l = r; }
using namespace std;

#include <iterator>
#include <functional>
#include <utility>
#include <type_traits>

template<class Elem> struct vec;

template<class Iter>
struct seq_view{
    using Ref = typename std::iterator_traits<Iter>::reference;
    using Elem = typename std::iterator_traits<Iter>::value_type;
    Iter a, b;
    Iter begin() const { return a; }
    Iter end() const { return b; }
    int size() const { return (int)(b-a); }
    seq_view(Iter first, Iter last) : a(first), b(last) {}
    seq_view sort() const { std::sort(a, b); return *this; }
    Ref& operator[](int x) const { return *(a+x); }
    template<class F = std::less<Elem>, class ret = vec<int>> ret sorti(F f = F()) const {
        ret x(size()); for(int i=0; i<size(); i++) x[i] = i;
        x().sort([&](int l, int r){ return f(a[l],a[r]); });
        return x;
    }
    template<class ret = vec<Elem>> ret col() const { return ret(begin(), end()); }
    template<class ret = vec<Elem>> ret cumsum() const {
        auto res = ret(size() + 1, Elem(0));
        for(int i=0; i<size(); i++) res[i+1] = res[i] + operator[](i);
        return res;
    }
    template<class F = std::equal_to<Elem>, class ret = vec<std::pair<Elem, int>>>
    ret rle(F eq = F()) const {
        auto x = ret();
        for(auto& a : (*this)){
            if(x.size() == 0 || !eq(x[x.size()-1].first, a)) x.emp(a, 1); else x[x.size()-1].second++;
        } return x;
    }
    template<class F> seq_view sort(F f) const { std::sort(a, b, f); return *this; }
    Iter uni() const { return std::unique(a, b); }
    Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); }
    Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); }
    int lbi(const Elem& x) const { return lb(x) - a; }
    int ubi(const Elem& x) const { return ub(x) - a; }
    seq_view bound(const Elem& l, const Elem& r) const { return { lb(l), lb(r) }; }
    template<class F> Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); }
    template<class F> Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); }
    template<class F> Iter when_true_to_false(F f) const {
        if(a == b) return a;
        return std::lower_bound(a, b, *a,
            [&](const Elem& x, const Elem&){ return f(x); });
    }
    seq_view same(Elem x) const { return { lb(x), ub(x) }; }
    template<class F> auto map(F f) const {
        vec<decltype(f(std::declval<const typename Iter::value_type&>()))> r;
        for(auto& x : *this) r.emp(f(x));
        return r;
    }
    Iter max() const { return std::max_element(a, b); }
    Iter min() const { return std::min_element(a, b); }
    template<class F = std::less<Elem>>
    Iter min(F f) const { return std::min_element(a, b, f); }
    seq_view rev() const { std::reverse(a, b); return *this; }
};

template<class Elem>
struct vec {
public:
    using Base = typename std::vector<Elem>;
    using Iter = typename Base::iterator;
    using CIter = typename Base::const_iterator;
    using View = seq_view<Iter>;
    using CView = seq_view<CIter>;

    vec(){}
    explicit vec(int n, const Elem& value = Elem()) : a(0<n?n:0, value) {}
    template <class I2> vec(I2 first, I2 last) : a(first, last) {}
    vec(std::initializer_list<Elem> il) : a(std::move(il)) {}
    vec(Base b) : a(std::move(b)) {}
    operator Base() const { return a; }

    Iter begin(){ return a.begin(); }
    CIter begin() const { return a.begin(); }
    Iter end(){ return a.end(); }
    CIter end() const { return a.end(); }
    int size() const { return a.size(); }
    bool empty() const { return a.empty(); }
    Elem& back(){ return a.back(); }
    const Elem& back() const { return a.back(); }
    vec& sortuni(){ (*this)().sort(); a.erase((*this)().uni(), end()); return *this; }
    vec sortunied(){ vec x = *this; x.sortuni(); return x; }
    Iter operator()(int x){ return a.begin() + x; }
    CIter operator()(int x) const { return a.begin() + x; }
    View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; }
    CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; }
    View operator()(){ return (*this)(0,size()); }
    CView operator()() const { return (*this)(0,size()); }
    Elem& operator[](int x){ return a[x]; }
    const Elem& operator[](int x) const { return a[x]; }
    Base& operator*(){ return a; }
    const Base& operator*() const { return a; }
    vec& push(Elem args){
        a.push_back(std::move(args));
        return *this;
    }
    template<class... Args>
    vec& emp(Args &&... args){
        a.emplace_back(std::forward<Args>(args) ...);
        return *this;
    }
    template<class Range>
    vec& app(Range& x){ for(auto& v : x){ emp(v); } return *this; }
    Elem pop(){ Elem x = std::move(a.back()); a.pop_back(); return x; }
    void resize(int sz){ a.resize(sz); }
    void reserve(int sz){ a.reserve(sz); }
    bool operator==(const vec& r) const { return a == r.a; }
    bool operator!=(const vec& r) const { return a != r.a; }
    bool operator<(const vec& r) const { return a < r.a; }
    bool operator<=(const vec& r) const { return a <= r.a; }
    bool operator>(const vec& r) const { return a > r.a; }
    bool operator>=(const vec& r) const { return a >= r.a; }
    vec<vec<Elem>> pile(int n) const { return vec<vec<Elem>>(n, *this); }
    template<class F> vec& filter(F f){
        int p = 0;
        for(auto& x : a) if(f(x)) std::swap(a[p++],x);
        resize(p); return *this;
    }
    vec& operator+=(const vec& r){ return app(r); }
    vec operator+(const vec& r) const { vec x = *this; x += r; return x; }
    vec operator*(int t) const { vec res; while(t--){ res += *this; } return res; }
private: Base a;
};

template<class IStr, class U, class T>
IStr& operator>>(IStr& is, vec<std::pair<U,T>>& v){ for(auto& x:v){ is >> x.first >> x.second; } return is; }
template<class IStr, class T>
IStr& operator>>(IStr& is, vec<T>& v){ for(auto& x:v){ is >> x; } return is; }
template<class OStr, class T>
OStr& operator<<(OStr& os, const vec<T>& v){
    for(int i=0; i<v.size(); i++){
        if(i){ os << ' '; } os << v[i];
    } return os;
}
template<class OStr, class U, class T>
OStr& operator<<(OStr& os, const vec<std::pair<U,T>>& v){
    for(int i=0; i<v.size(); i++){
        if(i){ os << ' '; } os << '(' << v[i].first << ',' << v[i].second << ')';
    } return os;
}
#include <cassert>

namespace nachia{

template<class Elem>
class CsrArray{
public:
    struct ListRange{
        using iterator = typename std::vector<Elem>::iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        Elem& operator[](int i) const { return begi[i]; }
    };
    struct ConstListRange{
        using iterator = typename std::vector<Elem>::const_iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        const Elem& operator[](int i) const { return begi[i]; }
    };
private:
    int m_n;
    std::vector<Elem> m_list;
    std::vector<int> m_pos;
public:
    CsrArray() : m_n(0), m_list(), m_pos() {}
    static CsrArray Construct(int n, std::vector<std::pair<int, Elem>> items){
        CsrArray res;
        res.m_n = n;
        std::vector<int> buf(n+1, 0);
        for(auto& [u,v] : items){ ++buf[u]; }
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        res.m_list.resize(buf[n]);
        for(int i=(int)items.size()-1; i>=0; i--){
            res.m_list[--buf[items[i].first]] = std::move(items[i].second);
        }
        res.m_pos = std::move(buf);
        return res;
    }
    static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){
        CsrArray res;
        res.m_n = pos.size() - 1;
        res.m_list = std::move(list);
        res.m_pos = std::move(pos);
        return res;
    }
    ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
    ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
    int size() const { return m_n; }
    int fullSize() const { return (int)m_list.size(); }
};

} // namespace nachia

namespace nachia{


struct Graph {
public:
    struct Edge{
        int from, to;
        void reverse(){ std::swap(from, to); }
        int xorval() const { return from ^ to; }
    };
    Graph(int n = 0, bool undirected = false, int m = 0) : m_n(n), m_e(m), m_isUndir(undirected) {}
    Graph(int n, const std::vector<std::pair<int, int>>& edges, bool undirected = false) : m_n(n), m_isUndir(undirected){
        m_e.resize(edges.size());
        for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second };
    }
    template<class Cin>
    static Graph Input(Cin& cin, int n, bool undirected, int m, bool offset = 0){
        Graph res(n, undirected, m);
        for(int i=0; i<m; i++){
            int u, v; cin >> u >> v;
            res[i].from = u - offset;
            res[i].to = v - offset;
        }
        return res;
    }
    int numVertices() const noexcept { return m_n; }
    int numEdges() const noexcept { return int(m_e.size()); }
    int addNode() noexcept { return m_n++; }
    int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; }
    Edge& operator[](int ei) noexcept { return m_e[ei]; }
    const Edge& operator[](int ei) const noexcept { return m_e[ei]; }
    Edge& at(int ei) { return m_e.at(ei); }
    const Edge& at(int ei) const { return m_e.at(ei); }
    auto begin(){ return m_e.begin(); }
    auto end(){ return m_e.end(); }
    auto begin() const { return m_e.begin(); }
    auto end() const { return m_e.end(); }
    bool isUndirected() const noexcept { return m_isUndir; }
    void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); }
    void contract(int newV, const std::vector<int>& mapping){
        assert(numVertices() == int(mapping.size()));
        for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV);
        for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; }
        m_n = newV;
    }
    std::vector<Graph> induce(int num, const std::vector<int>& mapping) const {
        int n = numVertices();
        assert(n == int(mapping.size()));
        for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num);
        std::vector<int> indexV(n), newV(num);
        for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = newV[mapping[i]]++;
        std::vector<Graph> res; res.reserve(num);
        for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected());
        for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]);
        return res;
    }
    CsrArray<int> getEdgeIndexArray(bool undirected) const {
        std::vector<std::pair<int, int>> src;
        src.reserve(numEdges() * (undirected ? 2 : 1));
        for(int i=0; i<numEdges(); i++){
            auto e = operator[](i);
            src.emplace_back(e.from, i);
            if(undirected) src.emplace_back(e.to, i);
        }
        return CsrArray<int>::Construct(numVertices(), src);
    }
    CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); }
    CsrArray<int> getAdjacencyArray(bool undirected) const {
        std::vector<std::pair<int, int>> src;
        src.reserve(numEdges() * (undirected ? 2 : 1));
        for(auto e : m_e){
            src.emplace_back(e.from, e.to);
            if(undirected) src.emplace_back(e.to, e.from);
        }
        return CsrArray<int>::Construct(numVertices(), src);
    }
    CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); }
private:
    int m_n;
    std::vector<Edge> m_e;
    bool m_isUndir;
};

} // namespace nachia

int query(int u, int v){
    cout << "? " << (u+1) << " " << (v+1) << endl;
    int r; cin >> r;
    return r;
}

void testcase(){
    int N; cin >> N;
    auto tree = nachia::Graph(N, true);
    rep(i,N){
        int u,v; cin >> u >> v; u--; v--;
        if(0 <= u) tree.addEdge(i,u);
        if(0 <= v) tree.addEdge(i,v);
    }
    auto adj = tree.getAdjacencyArray();
    vector<int> bfs;
    bfs.push_back(0);
    vector<int> par(N, -1);
    vector<int> sz(N, 1);
    rep(i,N){
        int v = bfs[i];
        for(int w : adj[v]) if(par[v] != w){
            bfs.push_back(w);
            par[w] = v;
        }
    }
    for(int i=N-1; i>=1; i--){
        int v = bfs[i];
        sz[par[v]] += sz[v];
    }
    int s = 0;
    while(sz[s] != 1){
        while(true){
            int nx = -1;
            for(int t : adj[s]) if(sz[t] * 2 > sz[s]) nx = t;
            if(nx == -1) break;
            sz[s] -= sz[nx];
            sz[nx] += sz[s];
            s = nx;
        }
        vector<int> adjs;
        for(int t : adj[s]) if(sz[t] > 0) adjs.push_back(t);
        sort(adjs.begin(), adjs.end(), [&](int l, int r){ return sz[l] > sz[r]; });
        if(adjs.size() >= 2){
            int res = query(adjs[0], adjs[1]);
            if(res == 0){
                sz[s] = 0;
                s = adjs[0];
            } else if(res == 1){
                sz[s] -= sz[adjs[0]] + sz[adjs[1]];
                sz[adjs[0]] = sz[adjs[1]] = 0;
            } else {
                sz[s] = 0;
                s = adjs[1];
            }
        } else {
            int res = query(adjs[0], s);
            if(res == 0){
                sz[s] = 0;
                s = adjs[0];
            } else {
                sz[s] -= sz[adjs[0]];
                sz[adjs[0]] = 0;
            }
        }
    }
    cout << "! " << (s+1) << endl;
}

int main(){
    ios::sync_with_stdio(false); cin.tie(nullptr);
    int T; cin >> T;
    rep(t,T) testcase();
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3500kb

input:

2
5
0 0
1 5
2 4
0 0
0 0
1
0
2
0 2
0 0
2

output:

? 3 1
? 5 2
! 5
? 2 1
! 1

result:

ok OK (2 test cases)

Test #2:

score: 0
Accepted
time: 73ms
memory: 3744kb

input:

5555
8
2 0
8 6
0 0
3 0
0 0
7 0
0 0
5 4
0
0
2
8
0 0
1 4
2 0
0 0
7 8
0 0
3 0
6 0
0
0
0
8
5 8
0 0
1 7
0 0
0 0
4 2
0 0
6 0
0
1
2
5
4 5
3 1
0 0
0 0
0 0
0
2
8
0 0
0 0
5 6
0 0
1 4
2 0
3 8
0 0
0
0
5
3 0
5 1
0 0
0 0
4 0
0
2
5
5 0
0 0
0 0
3 0
2 4
0
0
3
3 0
1 0
0 0
2
2
2 0
0 0
0
3
2 3
0 0
0 0
2
10
2 8
9 7
0 0
...

output:

? 8 6
? 4 5
? 3 4
! 4
? 7 2
? 8 7
? 6 8
! 6
? 8 3
? 4 2
? 8 6
! 6
? 2 4
? 3 2
! 2
? 5 6
? 1 4
! 1
? 5 1
? 4 5
! 5
? 4 1
? 3 4
! 3
? 3 2
! 2
? 2 1
! 2
? 2 3
! 3
? 7 1
? 7 4
? 3 6
! 6
? 2 1
! 2
? 5 9
? 4 8
? 5 3
! 5
? 10 3
? 8 6
? 2 4
! 2
? 9 3
? 1 7
? 9 2
! 9
? 2 1
! 1
? 4 3
? 1 7
! 7
? 4 9
? 8 4
? 3...

result:

ok OK (5555 test cases)

Test #3:

score: 0
Accepted
time: 41ms
memory: 3772kb

input:

600
2
2 0
0 0
2
3
2 0
3 0
0 0
2
4
4 0
1 0
0 0
3 0
0
0
5
4 0
0 0
1 0
2 0
3 0
2
0
6
4 0
6 0
2 0
5 0
0 0
1 0
0
0
7
7 0
3 0
6 0
5 0
2 0
1 0
0 0
0
1
8
7 0
0 0
2 0
8 0
1 0
5 0
3 0
6 0
0
0
0
9
7 0
4 0
2 0
1 0
0 0
8 0
9 0
5 0
6 0
2
0
2
10
9 0
6 0
8 0
7 0
0 0
10 0
2 0
4 0
5 0
1 0
0
0
2
11
2 0
10 0
6 0
9 0
0 ...

output:

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

result:

ok OK (600 test cases)

Test #4:

score: 0
Accepted
time: 52ms
memory: 9220kb

input:

2
99999
21832 0
77205 0
62668 0
58313 0
14640 0
76941 0
62678 0
8464 0
43145 0
26195 0
46140 0
83205 0
40047 0
81645 0
27077 0
92036 0
14236 0
3576 0
15430 0
75654 0
29049 0
62218 0
83318 0
1116 0
77861 0
9755 0
49236 0
70959 0
62295 0
33580 0
88208 0
55840 0
71061 0
24695 0
88831 0
1891 0
57285 0
9...

output:

? 70790 43991
? 36882 98065
? 17626 87676
? 23816 44703
? 44123 980
? 61196 90504
? 54094 11034
? 34051 63621
? 79154 26980
? 55857 22501
? 15747 28077
? 35270 76840
? 97062 8937
? 61940 22539
? 70074 43281
? 70074 79154
! 79154
? 5676 85780
? 39704 57748
? 58489 42043
? 30188 50842
? 36012 24131
? ...

result:

ok OK (2 test cases)

Test #5:

score: 0
Accepted
time: 28ms
memory: 7016kb

input:

15
3
0 0
1 0
2 0
1
7
6 0
3 0
5 0
0 0
7 0
4 0
1 0
2
2
15
6 0
5 0
1 0
7 0
14 0
11 0
15 0
12 0
2 0
4 0
9 0
13 0
0 0
8 0
3 0
0
0
0
31
3 0
31 0
17 0
23 0
4 0
13 0
1 0
12 0
6 0
0 0
20 0
26 0
14 0
29 0
8 0
25 0
21 0
19 0
5 0
15 0
18 0
10 0
22 0
7 0
28 0
2 0
24 0
30 0
27 0
9 0
16 0
2
0
0
2
63
15 0
62 0
5 0
...

output:

? 1 3
! 2
? 5 1
? 1 4
! 4
? 6 9
? 7 3
? 7 10
! 7
? 13 29
? 17 18
? 1 24
? 1 17
! 17
? 37 8
? 30 14
? 55 56
? 22 19
? 19 56
! 31
? 36 89
? 96 110
? 20 79
? 62 106
? 82 86
? 61 82
! 82
? 64 233
? 148 51
? 1 176
? 126 78
? 251 252
? 200 224
? 176 200
! 176
? 439 48
? 144 457
? 376 142
? 193 427
? 173 2...

result:

ok OK (15 test cases)

Test #6:

score: 0
Accepted
time: 34ms
memory: 6952kb

input:

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

output:

? 2 1
! 1
? 3 4
? 2 3
! 2
? 4 1
? 6 4
? 7 6
! 6
? 11 1
? 6 10
? 7 6
? 12 7
! 12
? 16 13
? 29 19
? 7 5
? 27 7
? 8 27
! 27
? 8 24
? 6 20
? 13 10
? 25 32
? 7 25
? 29 7
! 29
? 80 113
? 16 115
? 63 112
? 25 50
? 81 89
? 11 81
? 114 11
! 114
? 106 3
? 82 72
? 78 224
? 13 105
? 44 156
? 184 54
? 212 184
? ...

result:

ok OK (16 test cases)

Test #7:

score: 0
Accepted
time: 26ms
memory: 7004kb

input:

15
2
2 0
0 0
2
6
5 0
1 0
6 0
2 0
3 0
0 0
0
2
14
12 0
0 0
11 0
5 0
7 0
1 0
8 0
10 0
14 0
13 0
6 0
9 0
2 0
4 0
0
0
1
30
10 0
29 0
23 0
28 0
9 0
14 0
2 0
30 0
19 0
0 0
15 0
1 0
22 0
8 0
18 0
27 0
7 0
24 0
26 0
3 0
20 0
25 0
6 0
17 0
4 0
12 0
21 0
16 0
13 0
5 0
0
0
0
2
62
24 0
22 0
18 0
17 0
49 0
53 0
3...

output:

? 2 1
! 1
? 5 2
? 6 5
! 5
? 4 9
? 7 10
? 4 7
! 5
? 27 20
? 2 13
? 18 17
? 11 18
! 18
? 33 30
? 4 32
? 11 31
? 19 59
? 11 59
! 37
? 94 9
? 59 69
? 17 52
? 111 44
? 46 51
? 52 51
! 52
? 12 100
? 71 118
? 62 146
? 36 61
? 48 247
? 155 179
? 146 179
! 179
? 68 449
? 190 319
? 239 141
? 62 353
? 265 488
...

result:

ok OK (15 test cases)

Test #8:

score: 0
Accepted
time: 45ms
memory: 3956kb

input:

600
2
2 0
0 0
2
3
3 2
0 0
0 0
2
4
3 0
0 0
0 0
1 2
0
0
5
0 0
3 1
4 5
0 0
0 0
1
0
6
3 5
1 4
0 0
6 0
0 0
0 0
0
0
7
3 7
0 0
0 0
2 5
0 0
1 4
0 0
0
1
8
0 0
3 7
1 0
2 5
6 8
0 0
0 0
0 0
0
1
0
9
9 8
0 0
7 2
0 0
0 0
0 0
0 0
4 5
3 6
0
1
2
10
3 6
8 0
4 2
5 7
0 0
10 9
0 0
0 0
0 0
0 0
0
1
2
11
0 0
4 9
5 8
6 3
0 0...

output:

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

result:

ok OK (600 test cases)

Test #9:

score: 0
Accepted
time: 34ms
memory: 9048kb

input:

2
99999
0 0
7999 97267
75750 37659
0 0
0 0
33761 92098
90707 18838
13602 27569
0 0
0 0
0 0
0 0
0 0
0 0
0 0
14586 86647
1519 23132
0 0
3430 14643
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
47066 36968
95308 38482
34100 25297
0 0
0 0
0 0
0 0
88902 58991
0 0
0 0
66315 68538
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0...

output:

? 50379 69076
? 79924 11838
? 18079 15463
? 72017 29994
? 80147 27856
? 80763 26264
? 39876 84186
? 73287 34615
? 43462 43070
? 38721 85806
? 84940 93114
? 3443 79116
? 49016 68555
? 56289 87545
? 32426 3887
! 3887
? 72481 78976
? 96633 84675
? 2124 81852
? 13836 79494
? 80643 24965
? 38932 5573
? 5...

result:

ok OK (2 test cases)

Test #10:

score: 0
Accepted
time: 24ms
memory: 6836kb

input:

15
3
3 2
0 0
0 0
1
7
0 0
3 6
0 0
7 2
0 0
0 0
5 1
2
2
15
14 12
0 0
0 0
0 0
8 6
10 11
0 0
3 7
2 4
0 0
0 0
0 0
15 5
0 0
9 1
0
0
0
31
4 9
0 0
29 17
0 0
0 0
15 31
5 21
18 14
0 0
0 0
0 0
16 2
12 7
0 0
23 10
0 0
30 13
0 0
24 27
11 26
0 0
0 0
0 0
0 0
19 20
0 0
0 0
0 0
6 25
8 1
28 22
2
0
0
2
63
53 48
40 57
0...

output:

? 3 2
! 1
? 7 2
? 3 6
! 6
? 15 5
? 9 1
? 2 4
! 2
? 29 17
? 30 13
? 8 1
? 18 14
! 14
? 1 2
? 53 48
? 63 19
? 30 56
? 55 59
! 56
? 20 115
? 71 68
? 67 3
? 18 16
? 123 55
? 117 104
! 104
? 70 140
? 78 250
? 223 4
? 220 204
? 67 144
? 75 15
? 242 199
! 242
? 60 121
? 414 74
? 99 184
? 301 403
? 425 477
...

result:

ok OK (15 test cases)

Test #11:

score: 0
Accepted
time: 18ms
memory: 6876kb

input:

16
2
0 0
1 0
2
4
4 2
0 0
0 0
3 0
0
0
8
3 0
0 0
0 0
0 0
1 2
0 0
6 4
5 7
0
1
2
16
16 15
0 0
0 0
0 0
7 11
8 10
0 0
13 0
0 0
0 0
0 0
3 9
0 0
4 2
5 14
6 12
0
0
0
0
32
0 0
22 21
25 18
0 0
0 0
0 0
0 0
0 0
0 0
0 0
0 0
5 10
30 0
1 24
12 31
0 0
0 0
16 8
3 15
11 26
23 14
28 20
6 9
0 0
13 27
0 0
0 0
7 17
0 0
0 ...

output:

? 2 1
! 1
? 4 2
? 3 4
! 3
? 8 1
? 6 4
? 8 7
! 7
? 16 15
? 6 12
? 8 10
? 13 8
! 13
? 19 2
? 3 15
? 25 18
? 13 27
? 30 13
! 13
? 9 14
? 58 24
? 29 32
? 17 3
? 15 39
? 57 15
! 57
? 28 83
? 75 21
? 10 7
? 30 38
? 111 64
? 65 51
! 65
? 221 218
? 199 243
? 66 123
? 247 165
? 57 198
? 138 196
? 15 146
! 14...

result:

ok OK (16 test cases)

Test #12:

score: 0
Accepted
time: 25ms
memory: 7004kb

input:

15
2
0 0
1 0
2
6
6 4
1 5
0 0
0 0
3 0
0 0
0
2
14
0 0
1 7
5 11
13 9
0 0
2 8
0 0
10 0
0 0
0 0
0 0
14 6
0 0
3 4
0
0
1
30
7 0
5 13
0 0
0 0
14 30
15 20
0 0
0 0
3 19
0 0
0 0
11 21
9 1
16 24
0 0
0 0
28 2
8 10
0 0
0 0
0 0
0 0
18 6
0 0
4 29
12 25
0 0
23 26
0 0
27 22
0
0
0
2
62
0 0
0 0
28 47
7 38
0 0
0 0
17 26...

output:

? 2 1
! 1
? 2 6
? 2 3
! 3
? 14 6
? 3 4
? 5 11
! 3
? 28 2
? 23 26
? 18 6
? 8 10
! 10
? 61 36
? 18 30
? 31 50
? 10 51
? 42 44
! 44
? 18 44
? 53 93
? 75 45
? 107 41
? 80 32
? 57 89
! 32
? 253 196
? 42 224
? 178 31
? 218 103
? 244 223
? 102 147
? 62 32
! 32
? 69 30
? 210 172
? 19 233
? 188 349
? 94 198
...

result:

ok OK (15 test cases)

Test #13:

score: 0
Accepted
time: 24ms
memory: 3696kb

input:

600
2
0 0
1 0
2
3
0 0
1 3
0 0
2
4
2 4
0 0
0 0
3 0
0
0
5
2 5
0 0
0 0
0 0
4 3
1
0
6
6 4
0 0
0 0
3 0
2 1
0 0
0
0
7
0 0
0 0
2 4
5 6
0 0
0 0
1 3
0
1
8
2 7
0 0
6 0
0 0
8 3
0 0
4 5
0 0
0
0
0
9
5 2
0 0
7 4
6 8
0 0
0 0
0 0
9 1
0 0
0
0
2
10
3 5
10 7
0 0
0 0
6 2
0 0
4 0
9 1
0 0
0 0
2
0
0
11
9 6
4 1
0 0
0 0
11 ...

output:

? 2 1
! 1
? 1 3
! 3
? 4 2
? 3 4
! 3
? 1 4
? 3 5
! 3
? 4 5
? 3 4
! 3
? 4 7
? 5 6
! 4
? 5 1
? 3 8
? 6 3
! 6
? 4 1
? 3 6
? 7 3
! 3
? 1 2
? 7 10
? 4 7
! 4
? 10 1
? 10 11
? 8 5
! 5
? 12 1
? 12 11
? 2 11
! 2
? 2 4
? 12 2
? 7 12
! 12
? 8 12
? 10 8
? 5 8
! 8
? 14 9
? 1 14
? 11 15
! 15
? 10 15
? 2 10
? 5 9
?...

result:

ok OK (600 test cases)

Test #14:

score: 0
Accepted
time: 41ms
memory: 9152kb

input:

2
99999
96748 53986
34197 77552
29863 63559
79099 26449
45078 1051
0 0
27416 4135
0 0
38606 81189
93892 68603
48776 185
79602 18311
51243 83678
89044 40032
28883 35663
0 0
0 0
21603 15821
0 0
51448 75971
70275 8326
0 0
0 0
57049 72937
3297 94939
0 0
59258 39159
3205 34675
54876 24769
0 0
0 0
0 0
851...

output:

? 71188 96970
? 87538 6820
? 59029 32876
? 46360 20365
? 49372 9490
? 17131 97012
? 63260 47373
? 50792 54267
? 90948 40354
? 57900 28477
? 45466 57947
? 49953 61749
? 74237 46253
? 80813 36006
? 50792 80813
? 51961 80813
! 51961
? 70265 86513
? 11800 36225
? 99536 25987
? 59217 63730
? 29352 84543
...

result:

ok OK (2 test cases)

Test #15:

score: 0
Accepted
time: 32ms
memory: 6908kb

input:

15
3
0 0
1 3
0 0
1
7
0 0
1 7
0 0
6 2
3 4
0 0
0 0
0
1
15
2 11
0 0
13 1
12 14
0 0
0 0
5 8
10 4
0 0
0 0
0 0
0 0
0 0
6 15
9 3
0
0
1
31
24 22
0 0
31 6
0 0
4 3
11 19
0 0
0 0
28 21
25 20
0 0
0 0
0 0
2 16
0 0
27 18
8 10
15 17
26 1
23 29
7 5
12 14
0 0
0 0
0 0
0 0
0 0
0 0
30 13
0 0
0 0
0
0
0
0
63
51 35
33 57
...

output:

? 1 3
! 2
? 2 5
? 1 7
! 2
? 15 4
? 1 15
? 2 11
! 1
? 14 1
? 10 18
? 29 10
? 30 13
! 30
? 38 44
? 42 1
? 2 9
? 34 2
? 5 23
! 23
? 51 31
? 96 62
? 100 8
? 52 89
? 82 52
? 70 57
! 70
? 124 122
? 162 102
? 84 231
? 110 135
? 147 223
? 236 147
? 201 80
! 80
? 322 266
? 146 414
? 72 335
? 66 306
? 89 76
?...

result:

ok OK (15 test cases)

Test #16:

score: 0
Accepted
time: 27ms
memory: 7032kb

input:

16
2
0 0
1 0
2
4
0 0
1 0
4 2
0 0
0
0
8
0 0
0 0
0 0
3 5
8 6
2 0
1 4
0 0
0
0
2
16
0 0
7 8
0 0
1 2
0 0
0 0
0 0
5 10
3 0
12 16
14 13
0 0
15 4
0 0
0 0
6 9
0
0
0
0
32
26 17
5 31
28 25
18 7
0 0
0 0
14 12
15 0
22 4
0 0
29 1
19 2
0 0
0 0
0 0
6 8
10 21
0 0
0 0
0 0
13 3
0 0
0 0
0 0
32 30
0 0
20 9
0 0
0 0
23 16...

output:

? 2 1
! 1
? 3 1
? 4 3
! 4
? 5 7
? 6 8
? 2 6
! 6
? 8 4
? 16 8
? 9 6
? 3 9
! 3
? 11 17
? 7 2
? 9 7
? 27 22
? 20 27
! 27
? 31 10
? 6 60
? 45 22
? 26 45
? 14 4
? 64 14
! 64
? 24 37
? 55 56
? 61 25
? 115 10
? 85 115
? 120 27
? 21 120
! 21
? 60 89
? 248 208
? 203 99
? 234 222
? 108 210
? 173 108
? 131 42
...

result:

ok OK (16 test cases)

Test #17:

score: 0
Accepted
time: 32ms
memory: 6996kb

input:

15
2
0 0
1 0
2
6
0 0
5 0
1 2
0 0
0 0
4 3
2
0
14
8 14
0 0
0 0
0 0
0 0
12 11
10 0
0 0
2 7
0 0
4 1
0 0
3 6
5 9
2
0
0
30
29 21
6 9
0 0
0 0
0 0
0 0
0 0
19 17
24 30
0 0
14 26
23 0
0 0
0 0
25 18
0 0
7 20
16 12
0 0
13 11
28 8
10 15
0 0
0 0
0 0
3 22
5 2
0 0
0 0
4 1
0
2
0
2
62
0 0
34 33
0 0
0 0
0 0
37 45
0 0
...

output:

? 2 1
! 1
? 2 6
? 4 6
! 4
? 14 11
? 11 13
? 4 11
! 4
? 8 20
? 9 1
? 1 8
? 29 1
! 1
? 42 59
? 12 31
? 19 40
? 12 40
? 47 40
! 40
? 40 17
? 11 102
? 27 88
? 3 93
? 93 27
? 89 93
! 93
? 90 189
? 158 221
? 198 132
? 32 240
? 4 49
? 49 240
? 1 49
! 1
? 60 192
? 29 303
? 190 312
? 241 495
? 35 402
? 71 20...

result:

ok OK (15 test cases)

Test #18:

score: 0
Accepted
time: 47ms
memory: 9060kb

input:

2
99999
0 0
88119 0
72740 0
6901 19702
0 0
10620 84889
0 0
9552 63972
45156 60768
9152 72379
0 0
59875 97207
48193 0
17282 54916
65927 27713
80083 15817
36966 75381
0 0
77279 56298
0 0
11554 61779
0 0
89976 0
65282 42151
95206 62876
97329 86772
0 0
0 0
0 0
11820 0
0 0
20432 0
50520 39907
0 0
46948 1...

output:

? 52174 35226
? 26122 16093
? 11494 10853
? 11494 91694
? 90037 73088
? 90037 21572
? 51091 91442
? 7067 93596
? 75096 14316
? 75096 55875
? 42793 41734
? 59747 42793
? 472 67072
? 59747 64770
! 92650
? 80592 36933
? 50906 68004
? 73367 65219
? 20489 33796
? 74041 19704
? 35779 74041
? 35779 85560
?...

result:

ok OK (2 test cases)

Test #19:

score: 0
Accepted
time: 389ms
memory: 3556kb

input:

100000
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
0
2
0 0
0 1
2
2
0 0
0 1
0
2
0 0...

output:

? 2 1
! 1
? 2 1
! 2
? 2 1
! 1
? 2 1
! 2
? 2 1
! 1
? 2 1
! 2
? 2 1
! 2
? 2 1
! 2
? 2 1
! 2
? 2 1
! 1
? 2 1
! 2
? 2 1
! 2
? 2 1
! 1
? 2 1
! 1
? 2 1
! 2
? 2 1
! 1
? 2 1
! 1
? 2 1
! 1
? 2 1
! 1
? 2 1
! 2
? 2 1
! 2
? 2 1
! 2
? 2 1
! 1
? 2 1
! 2
? 2 1
! 2
? 2 1
! 1
? 2 1
! 1
? 2 1
! 1
? 2 1
! 1
? 2 1
! 1
...

result:

ok OK (100000 test cases)

Extra Test:

score: 0
Extra Test Passed