Language: C++

#include "bits/stdc++.h"

// Begin Header {{{
using namespace std;

#ifndef DEBUG
#define dump(...)
#endif

#define all(x) x.begin(), x.end()
#define rep(i, n) for (intmax_t i = 0, i##_limit = (n); i < i##_limit; ++i)
#define reps(i, b, e) for (intmax_t i = (b), i##_limit = (e); i <= i##_limit; ++i)
#define repr(i, b, e) for (intmax_t i = (b), i##_limit = (e); i >= i##_limit; --i)
#define var(Type, ...) Type __VA_ARGS__; input(__VA_ARGS__)

constexpr size_t    operator""_zu(unsigned long long value) { return value; };
constexpr intmax_t  operator""_jd(unsigned long long value) { return value; };
constexpr uintmax_t operator""_ju(unsigned long long value) { return value; };

constexpr int INF = 0x3f3f3f3f;
constexpr intmax_t LINF = 0x3f3f3f3f3f3f3f3f_jd;

template <class T, class Compare = less<>>
using MaxHeap = priority_queue<T, vector<T>, Compare>;
template <class T, class Compare = greater<>>
using MinHeap = priority_queue<T, vector<T>, Compare>;

inline void input() {}
template <class Head, class... Tail>
inline void input(Head&& head, Tail&&... tail) {
    cin >> head;
    input(forward<Tail>(tail)...);
}

template <class T>
inline istream& operator>>(istream &is, vector<T> &vec) {
    for (auto &e: vec) {
        is >> e;
    }
    return is;
}

inline void output() { cout << "\n"; }
template <class Head, class... Tail>
inline void output(Head&& head, Tail&&... tail) {
    cout << head;
    if (sizeof...(tail)) {
        cout << " ";
    }
    output(forward<Tail>(tail)...);
}

template <class T>
inline ostream& operator<<(ostream &os, const vector<T> &vec) {
    static constexpr const char *delim[] = {" ", ""};
    for (const auto &e: vec) {
        os << e << delim[&e == &vec.back()];
    }
    return os;
}

template <class T>
inline vector<T> makeVector(const T &initValue, size_t sz) {
    return vector<T>(sz, initValue);
}

template <class T, class... Args>
inline auto makeVector(const T &initValue, size_t sz, Args... args) {
    return vector<decltype(makeVector<T>(initValue, args...))>(sz, makeVector<T>(initValue, args...));
}

template <class Func>
class FixPoint : Func {
public:
    explicit constexpr FixPoint(Func&& f) noexcept : Func(forward<Func>(f)) {}

    template <class... Args>
    constexpr decltype(auto) operator()(Args&&... args) const {
        return Func::operator()(*this, std::forward<Args>(args)...);
    }
};

template <class Func>
static inline constexpr decltype(auto) makeFixPoint(Func&& f) noexcept {
    return FixPoint<Func>{forward<Func>(f)};
}

template <class T>
inline bool chmax(T &a, const T &b) noexcept {
    return b > a && (a = b, true);
}

template <class T>
inline bool chmin(T &a, const T &b) noexcept {
    return b < a && (a = b, true);
}

template <class T>
inline T diff(const T &a, const T &b) noexcept {
    return a < b ? b - a : a - b;
}
// End Header }}}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    var(size_t, N);

    vector<intmax_t> x(N), y(N), h(N);
    int si = -1;
    rep(i, N) {
        input(x[i], y[i], h[i]);
        if (h[i] > 0) {
            si = i;
        }
    }

    reps(Cx, 0, 100) reps(Cy, 0, 100) {
        intmax_t H = h[si] + diff(x[si], Cx) + diff(y[si], Cy);
        bool valid = true;
        rep(i, N) {
            if (h[i] > 0 && h[i] + diff(x[i], Cx) + diff(y[i], Cy) != H) {
                valid = false;
                break;
            }
            if (h[i] == 0 && H - diff(x[i] - Cx) - diff(y[i] - Cy) > 0) {
                valid = false;
                break;
            }
        }
        if (valid) {
            return output(Cx, Cy, H), 0;
        }
    }

    return 0;
}


Compiler output:
a.cc: In function 'int main()':
a.cc:127:38: error: no matching function for call to 'diff(__gnu_cxx::__alloc_traits<std::allocator<long int>, long int>::value_type)'
  127 |             if (h[i] == 0 && H - diff(x[i] - Cx) - diff(y[i] - Cy) > 0) {
      |                                  ~~~~^~~~~~~~~~~
a.cc:99:10: note: candidate: 'template<class T> T diff(const T&, const T&)'
   99 | inline T diff(const T &a, const T &b) noexcept {
      |          ^~~~
a.cc:99:10: note:   candidate expects 2 arguments, 1 provided
a.cc:127:56: error: no matching function for call to 'diff(__gnu_cxx::__alloc_traits<std::allocator<long int>, long int>::value_type)'
  127 |             if (h[i] == 0 && H - diff(x[i] - Cx) - diff(y[i] - Cy) > 0) {
      |                                                    ~~~~^~~~~~~~~~~
a.cc:99:10: note: candidate: 'template<class T> T diff(const T&, const T&)'
   99 | inline T diff(const T &a, const T &b) noexcept {
      |          ^~~~
a.cc:99:10: note:   candidate expects 2 arguments, 1 provided