This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#ifndef LOCAL
#define FAST_IO
#endif
// ============
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
#define OVERRIDE(a, b, c, d, ...) d
#define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i)
#define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i)
#define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__)
#define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i)
#define ALL(x) begin(x), end(x)
using namespace std;
using u32 = unsigned int;
using u64 = unsigned long long;
using i32 = signed int;
using i64 = signed long long;
using f64 = double;
using f80 = long double;
template <typename T>
using Vec = vector<T>;
template <typename T>
bool chmin(T &x, const T &y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <typename T>
bool chmax(T &x, const T &y) {
if (x < y) {
x = y;
return true;
}
return false;
}
#ifdef INT128
using u128 = __uint128_t;
using i128 = __int128_t;
istream &operator>>(istream &is, i128 &x) {
i64 v;
is >> v;
x = v;
return is;
}
ostream &operator<<(ostream &os, i128 x) {
os << (i64)x;
return os;
}
istream &operator>>(istream &is, u128 &x) {
u64 v;
is >> v;
x = v;
return is;
}
ostream &operator<<(ostream &os, u128 x) {
os << (u64)x;
return os;
}
#endif
[[maybe_unused]] constexpr i32 INF = 1000000100;
[[maybe_unused]] constexpr i64 INF64 = 3000000000000000100;
struct SetUpIO {
SetUpIO() {
#ifdef FAST_IO
ios::sync_with_stdio(false);
cin.tie(nullptr);
#endif
cout << fixed << setprecision(15);
}
} set_up_io;
// ============
#ifdef DEBUGF
#else
#define DBG(x) (void)0
#endif
int main() {
i32 n, k;
cin >> n >> k;
Vec<Vec<i64>> r(n, Vec<i64>(k));
REP(i, n) REP(j, k) {
cin >> r[i][j];
}
Vec<Vec<i64>> v(n, Vec<i64>(k));
REP(i, n) REP(j, k) {
cin >> v[i][j];
}
Vec<Vec<i32>> idx(k, Vec<i32>(n));
REP(i, k) {
iota(ALL(idx[i]), 0);
sort(ALL(idx[i]), [&](i32 x, i32 y) -> bool {
return r[x][i] < r[y][i];
});
}
DBG(idx);
Vec<i32> it(k, 0);
Vec<i32> cnt(n, 0);
Vec<i64> p(k, 0);
queue<i32> que;
REP(i, k) {
while (it[i] < n && r[idx[i][it[i]]][i] <= p[i]) {
if (++cnt[idx[i][it[i]]] == k) {
que.push(idx[i][it[i]]);
}
++it[i];
}
}
i32 ans = 0;
while (!que.empty()) {
++ans;
i32 t = que.front();
que.pop();
REP(i, k) {
p[i] += v[t][i];
}
REP(i, k) {
while (it[i] < n && r[idx[i][it[i]]][i] <= p[i]) {
if (++cnt[idx[i][it[i]]] == k) {
que.push(idx[i][it[i]]);
}
++it[i];
}
}
}
cout << ans << '\n';
}
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