Language: C++

#include <bits/stdc++.h>
using namespace std;
#define rep(i,ini,n) for(int i=ini;i<n;i++)
#define _rep(i,ini,n) for(int i=ini;i>=n;i--)
#define ToEnd(a) a.begin(),a.end()
uint64_t MOD=1000000007;

int main(){
    int N; cin>>N;
    vector<tuple<int,int,int64_t>> V;
    rep(i,0,N){
        int x,y;
        int64_t h;
        cin>>x>>y>>h;

        V.emplace_back(h,x,y);
    }

    sort(ToEnd(V));

    tuple<int,int,int64_t> ans;
    rep(cx,0,101){
        bool match;
        rep(cy,0,101){
            match=true;
            int64_t ch=get<0>(V.front())+abs(get<1>(V.front())-cx)+abs(get<2>(V.front())-cy);
            rep(i,0,N){
                int x,y;
                int64_t h;
                tie(h,x,y)=V.at(i);
                
                int64_t _h=max(0LL,ch-abs(x-cx)-abs(y-cy));
                if(h!=_h){
                    match=false;
                    break;
                }
            }
            if(match) ans=make_tuple(cx,cy,ch);
        }
        if(match) break;
    }

    cout<<get<0>(ans)<<" "<<get<1>(ans)<<" "<<get<2>(ans)<<endl;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:32:31: error: no matching function for call to 'max(long long int, int64_t)'
   32 |                 int64_t _h=max(0LL,ch-abs(x-cx)-abs(y-cy));
      |                            ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
In file included from /usr/include/c++/14/algorithm:60,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:51,
                 from a.cc:1:
/usr/include/c++/14/bits/stl_algobase.h:257:5: note: candidate: 'template<class _Tp> constexpr const _Tp& std::max(const _Tp&, const _Tp&)'
  257 |     max(const _Tp& __a, const _Tp& __b)
      |     ^~~
/usr/include/c++/14/bits/stl_algobase.h:257:5: note:   template argument deduction/substitution failed:
a.cc:32:31: note:   deduced conflicting types for parameter 'const _Tp' ('long long int' and 'int64_t' {aka 'long int'})
   32 |                 int64_t _h=max(0LL,ch-abs(x-cx)-abs(y-cy));
      |                            ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
/usr/include/c++/14/bits/stl_algobase.h:303:5: note: candidate: 'template<class _Tp, class _Compare> constexpr const _Tp& std::max(const _Tp&, const _Tp&, _Compare)'
  303 |     max(const _Tp& __a, const _Tp& __b, _Compare __comp)
      |     ^~~
/usr/include/c++/14/bits/stl_algobase.h:303:5: note:   candidate expects 3 arguments, 2 provided
In file included from /usr/include/c++/14/algorithm:61:
/usr/include/c++/14/bits/stl_algo.h:5706:5: note: candidate: 'template<class _Tp> constexpr _Tp std::max(initializer_list<_Tp>)'
 5706 |     max(initializer_list<_Tp> __l)
      |     ^~~
/usr/include/c++/14/bits/stl_algo.h:5706:5: note:   candidate expects 1 argument, 2 provided
/usr/include/c++/14/bits/stl_algo.h:5716:5: note: candidate: 'template<class _Tp, class _Compare> constexpr _Tp std::max(initializer_list<_Tp>, _Compare)'
 5716 |     max(initializer_list<_Tp> __l, _Compare __comp)
      |     ^~~
/usr/include/c++/14/bits/stl_algo.h:5716:5: note:   template argument deduction/substitution failed:
a.cc:32:31: note:   mismatched types 'std::initializer_list<_Tp>' and 'long long int'
   32 |                 int64_t _h=max(0LL,ch-abs(x-cx)-abs(y-cy));
      |                            ~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~