結果

問題 No.1626 三角形の構築
ユーザー 👑 tute7627tute7627
提出日時 2021-07-23 22:00:16
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,458 ms / 2,000 ms
コード長 7,686 bytes
コンパイル時間 2,487 ms
コンパイル使用メモリ 217,476 KB
実行使用メモリ 34,444 KB
最終ジャッジ日時 2024-10-12 11:33:03
合計ジャッジ時間 7,005 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 3 ms
6,816 KB
testcase_01 AC 110 ms
10,488 KB
testcase_02 AC 4 ms
6,816 KB
testcase_03 AC 4 ms
6,820 KB
testcase_04 AC 8 ms
6,816 KB
testcase_05 AC 7 ms
6,820 KB
testcase_06 AC 3 ms
6,816 KB
testcase_07 AC 60 ms
6,820 KB
testcase_08 AC 130 ms
7,548 KB
testcase_09 AC 159 ms
12,516 KB
testcase_10 AC 129 ms
11,824 KB
testcase_11 AC 147 ms
12,040 KB
testcase_12 AC 50 ms
8,188 KB
testcase_13 AC 40 ms
6,820 KB
testcase_14 AC 64 ms
7,932 KB
testcase_15 AC 62 ms
7,400 KB
testcase_16 AC 143 ms
16,732 KB
testcase_17 AC 82 ms
9,840 KB
testcase_18 AC 49 ms
6,816 KB
testcase_19 AC 102 ms
8,572 KB
testcase_20 AC 119 ms
9,964 KB
testcase_21 AC 102 ms
11,252 KB
testcase_22 AC 177 ms
15,932 KB
testcase_23 AC 138 ms
9,584 KB
testcase_24 AC 1,458 ms
34,444 KB
testcase_25 AC 1 ms
6,820 KB
testcase_26 AC 13 ms
6,820 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

//#define _GLIBCXX_DEBUG

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

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]<v[j];});
  return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];});
  return ord;
}
ll FLOOR(ll n,ll div){return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
template< typename T = int >
struct edge {
  int to;
  T cost;
  int id;
  edge():id(-1){};
  edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
  operator int() const { return to; }
};

template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
  Graph<T>ret(g.size());
  for(int i=0;i<g.size();i++){
    for(auto e:g[i]){
      int to = e.to;
      e.to = i;
      ret[to].push_back(e);
    }
  }
  return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
  Graph<T> ret(n);
  for(int es = 0; es < m; es++){
    int u,v;
    T w=1;
    cin>>u>>v;u-=indexed,v-=indexed;
    if(weighted)cin>>w;
    ret[u].emplace_back(v,w,es);
    if(!directed)ret[v].emplace_back(u,w,es);
  }
  return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
  Graph<T>ret(n);
  for(int i=1;i<n;i++){
    int p;cin>>p;
    p-=indexed;
    ret[p].emplace_back(i);
    if(!directed)ret[i].emplace_back(p);
  }
  return ret;
}
vector<ll>divisor_enum(ll n){
  vector<ll>ret;
  for(ll i=1;i*i<=n;i++){
    if(n%i==0){
      if(i*i==n)ret.PB(i);
      else{
        ret.PB(i);
        ret.PB(n/i);
      }
    }
  }
  return ret;
}
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll t;cin>>t;
  while(t--){
    ll S,T;cin>>S>>T;
    if(T%2!=0){
      cout<<0<<endl;
      continue;
    }
    T/=2;
    auto d=divisor_enum(S);
    {
      vector<ll>nd;
      rep(i,0,d.size())rep(j,0,d.size())nd.PB(d[i]*d[j]);
      sort(ALL(nd));
      nd.erase(unique(ALL(nd)),nd.end());
      d.swap(nd);
    }
    vector<tuple<ll,ll,ll>>ret;
    for(auto z:d){
      ll ns=S*S;
      //if(S==6)cout<<z spa ns spa S spa T<<endl;
      if(ns%T!=0)continue;
      ns/=T;
      if(ns%z!=0)continue;
      if(T<=z)continue;
      ns/=z;
      ll a=T-z;
      ll bc=ns-(T*T-(z+T)*T);
      if(bc<=0)continue;
      //x^2-zx+bc
      ll sqpre=(z+T)*(z+T)-4*bc;
      if(sqpre<0)continue;
      ll tmp=sqrtl(sqpre)+2;
      while(tmp*tmp>sqpre)tmp--;
      if(tmp*tmp!=sqpre)continue;
      ll b=(z+T)+tmp,c=(z+T)-tmp;
      if(c<=0)continue;
      if(b%2!=0||c%2!=0)continue;
      b/=2,c/=2;
      if(a>b||a>c)continue;
      ret.EB(a,b,c);
    }
    cout<<ret.size()<<endl;
    for(auto [a,b,c]:ret){
      cout<<a spa b spa c<<endl;
    }
  }
  return 0;
}
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