Problem p02580 (C++) — buggy submission, verdict: Runtime Error


// #pragma GCC optimize("Ofast")
// #pragma GCC optimize ("unroll-loops")
// #pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
template <typename T>
using ordered_set =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// #include<boost/multiprecision/cpp_int.hpp>

// #include <boost/math/common_factor.hpp>
// namespace mp=boost::multiprecision;
#define ll long long
#define mod 1000000007
#define fi first
#define se second
#define inf 4e18
#define lim 1000000000000
#define pll pair<ll, ll>
#define pb push_back
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define el "\\n"
#define vll vector<ll>
#define vpll vector<pll>
#define vppll vector<pair<ll, pll>>
#define vvpll vector<vector<pair<ll, ll>>>
#define vvll vector<vector<ll>>
#define vvc vector<vector<char>>
#define vc vector<char>
// #define mod 998244353
ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  else
    return gcd(b, a % b);
}
ll xpow(ll a, ll b, ll m) {
  if (!b)
    return 1 % m;
  if (b == 1)
    return a % m;
  if (b & 1) {
    return (((a % m) * xpow(a, b - 1, m)) % m);
  } else {
    ll p = xpow(a, b / 2, m);
    return ((p * p) % m);
  }
}
/*double xpow(double a,ll b)
{
    if(!b)
        return 1;
    if(b==1)
        return a;
    if(b&1)
    {
        return((a*xpow(a,b-1)));
    }
    else
    {
        p=xpow(a,b/2);
        return((p*p));
    }
}
void dfs(ll v,vector<vector<ll> > &edge,vector<bool> &vis)
{
    vis[v]=1;
    for(ll i=0;i<edge[v].size();i++)
    {
        ll v1=edge[v][i];
        if(!vis[v1])
        {
            dfs(v1,edge,vis;
        }
    }
}
ll parent(ll x,vector<ll> &par)
{
    if(par[x]==x)
        return(x);
    par[x]=parent(par[x],par);
    return(par[x]);
}
bool uni(ll a,ll b,vector<ll> &par)
{
    ll pa=parent(a,par);
    ll pb=parent(b,par);
    if(pa==pb)
        return 0;
    else
    {
        par[pa]=pb;
        return 1;
    }
}
void seive(vector<bool> &v)
{
    ll n=v.size();
    for(ll i=2;i*i<n;i++)
    {
        if(v[i])
        {
            for(ll j=i*i;j<n;j+=i)
                v[j]=0;
        }
    }
}
void bfs(ll v,vector<vector<ll> > &edge,vector<bool> &vis,vector<ll> &level)
{
    queue<ll> q;
    q.push(v);
    vis[v]=1;
    level[v]=0;
    while(!q.empty())
    {
        ll ve=q.front();q.pop();
        for(ll i=0;i<edge[ve].size();i++)
        {
            ll vee=edge[ve][i];
            if(!vis[vee])
            {
                vis[vee]=1;
                level[vee]=level[ve]+1;
                q.push(vee);
            }
        }
    }
}
ll solve(ll x,ll n)
{
    ll low=0,high=2e9,mid;
    ll ans=x;
    while(low<high)
    {
        mid=low+(high-low)/2;
        ll val=(mid*(mid+1))/2;
        if(val>=x)
        {
            ans=mid;
            high=mid;
        }
        else
        {
            low=mid+1;
        }
    }
    return(ans);
}
bool chk(ll vv,vector<ll> &v)
{
    for(auto p:v)
    {
        if(p==vv)
            return 0;
    }
    return 1;
}
ll phi(ll n)
{
    ll ans=n;
    for(ll i=2;i*i<=n;i++)
    {
        if(n%i)
            continue;
        while(n%i==0)
        {
            n/=i;
        }
        ans=ans-ans/i;
    }
    if(n>1)
        ans-=ans/n;
    return(ans);
}
ll tr[800005];
void build(ll node,ll l,ll r,vector<ll> &v)
{
    if(l==r)
    {
        tr[node]=v[l];
        return;
    }
    ll mid=(l+r)/2;
    build(2*node+1,l,mid,v);
    build(2*node+2,mid+1,r,v);
    tr[node]=max(tr[2*node+1],tr[2*node+2]);
}
ll query(ll node,ll s,ll e,ll l,ll r)
{
    if(e<l || s>r)
        return 0;
    if(s>=l&&e<=r)
    return(tr[node]);
    ll mid=(s+e)/2;
    ll m1=query(2*node+1,s,mid,l,r);
    ll m2=query(2*node+2,mid+1,e,l,r);
    return(max(m1,m2));
}
ll nCr(ll n,ll r)
{
    ll ans=1;
    for(ll i=1;i<=n-r;i++)
    {
        ans=(ans*((r+i)));
        ans/=i;
        ans%=mod;
        //ans/=i;
    }
    ans%=mod;
    return(ans);
}
void djks(ll v,vvll &edge,vvll &dist)
{
    ll n=edge.size()-1;
    vll dis(n+1,inf);
    priority_queue<pll> pq;
    dis[v]=0;
    pq.push({0,v});
    while(!pq.empty())
    {
        pll p=pq.top();pq.pop();
        p.fi*=-1;
        for(ll i=1;i<=n;i++)
        {
            if(edge[p.se][i])
            {
                if(dis[i]>(dis[p.se]+edge[p.se][i]))
                {
                    dis[i]=dis[p.se]+edge[p.se][i];
                    pq.push({-dis[i],i});
                }
            }
        }
    }
    for(ll i=1;i<=n;i++)
    {
        dist[v][i]=dis[i];
    }
}

ll kmp(string &s)
{
    string t=s;
    reverse(all(t));
    string a=s+"#"+t;
    ll n=a.size();
    vll nxt(n);
    nxt[0]=0;
    ll i=0,j=1;
    while(j<n)
    {
        if(a[i]==a[j])
        {
            nxt[j]=i+1;
            i++;j++;
        }
        else
        {
            if(i)
            i=nxt[i-1];
            else
            {
                nxt[j]=0;
                j++;
            }
        }
    }
    return(nxt[n-1]);
}
string sadd(string a,string b)
{
    string t;
    ll la=a.length(),lb=b.length();
    ll d=0;
    ll i=la-1,j=lb-1;
    while(i>=0 && j>=0)
    {
        ll x=a[i]-'0',y=b[j]-'0';
        t.pb((x+y+d)%10+'0');
        d=(x+y+d)/10;
        i--;j--;
    }
    while(i>=0)
    {
        ll x=a[i]-'0';
        t.pb((x+d)%10+'0');
        d=(x+d)/10;i--;
    }
    while(j>=0)
    {
        ll y=b[j]-'0';
        t.pb((y+d)%10+'0');
        d=(y+d)/10;j--;
    }
    while(d)
    {
        t.pb(d%10+'0');
        d/=10;
    }
    //cout<<a<<" "<<b<<el;
    reverse(all(t));
    return(t);
}*/
const ll zzz = 1e3 + 5;
ll nCr[zzz][zzz];
void cal() {
  nCr[0][0] = 1;
  for (ll i = 1; i < zzz; i++) {
    nCr[i][0] = 1;
    for (ll j = 1; j < zzz; j++) {
      nCr[i][j] = (nCr[i - 1][j] + nCr[i - 1][j - 1]) % mod;
    }
  }
}
const ll N = 1e5 + 5;
bool check_prime(ll n) {
  for (ll i = 2; i * i <= n; i++) {
    if (n % i == 0)
      return 0;
  }
  return 1;
}
void doit() {
  ll h, w, m;
  cin >> h >> w >> m;
  // vvll v(h+1,vll(w+1,0));
  vll r(h + 1, 0), c(w + 1, 0);
  map<pll, ll> mp;
  for (ll i = 0; i < m; i++) {
    ll a, b;
    cin >> a >> b;
    // v[a][b]++;
    mp[{a, b}]++;
    r[a]++;
    c[b]++;
  }
  ll mxr = 0, mxc = 0;
  for (auto p : r)
    mxr = max(mxr, p);
  for (auto p : c)
    mxc = max(mxc, p);
  vll rmx, cmx;
  for (ll i = 1; i <= h; i++) {
    if (r[i] == mxr)
      rmx.pb(i);
  }
  for (ll i = 1; i <= w; i++) {
    if (c[i] == mxc)
      cmx.pb(i);
  }
  ll ans = mxr + mxc - 1;
  for (auto p : rmx) {
    bool fg = 0;
    for (auto q : cmx) {
      if (!mp.count({p, q})) {
        ans++;
        fg = 1;
        break;
      }
    }
    if (fg)
      break;
  }
  cout << ans;
  cout << el;
}
int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  cal(); // For nCr;
  // Array of length 5e6 can be made...and I think questions are also within
  // range 2^17>10^5 and 2^16<10^5
  ll t;
  t = 1;
  // cin>>t;
  while (t--) {
    doit();
  }
  return 0;
}


Error: 0

Fixed submission:


// #pragma GCC optimize("Ofast")
// #pragma GCC optimize ("unroll-loops")
// #pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
template <typename T>
using ordered_set =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// #include<boost/multiprecision/cpp_int.hpp>

// #include <boost/math/common_factor.hpp>
// namespace mp=boost::multiprecision;
#define ll long long
#define mod 1000000007
#define fi first
#define se second
#define inf 4e18
#define lim 1000000000000
#define pll pair<ll, ll>
#define pb push_back
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
#define el "\\n"
#define vll vector<ll>
#define vpll vector<pll>
#define vppll vector<pair<ll, pll>>
#define vvpll vector<vector<pair<ll, ll>>>
#define vvll vector<vector<ll>>
#define vvc vector<vector<char>>
#define vc vector<char>
// #define mod 998244353
ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  else
    return gcd(b, a % b);
}
ll xpow(ll a, ll b, ll m) {
  if (!b)
    return 1 % m;
  if (b == 1)
    return a % m;
  if (b & 1) {
    return (((a % m) * xpow(a, b - 1, m)) % m);
  } else {
    ll p = xpow(a, b / 2, m);
    return ((p * p) % m);
  }
}
/*double xpow(double a,ll b)
{
    if(!b)
        return 1;
    if(b==1)
        return a;
    if(b&1)
    {
        return((a*xpow(a,b-1)));
    }
    else
    {
        p=xpow(a,b/2);
        return((p*p));
    }
}
void dfs(ll v,vector<vector<ll> > &edge,vector<bool> &vis)
{
    vis[v]=1;
    for(ll i=0;i<edge[v].size();i++)
    {
        ll v1=edge[v][i];
        if(!vis[v1])
        {
            dfs(v1,edge,vis;
        }
    }
}
ll parent(ll x,vector<ll> &par)
{
    if(par[x]==x)
        return(x);
    par[x]=parent(par[x],par);
    return(par[x]);
}
bool uni(ll a,ll b,vector<ll> &par)
{
    ll pa=parent(a,par);
    ll pb=parent(b,par);
    if(pa==pb)
        return 0;
    else
    {
        par[pa]=pb;
        return 1;
    }
}
void seive(vector<bool> &v)
{
    ll n=v.size();
    for(ll i=2;i*i<n;i++)
    {
        if(v[i])
        {
            for(ll j=i*i;j<n;j+=i)
                v[j]=0;
        }
    }
}
void bfs(ll v,vector<vector<ll> > &edge,vector<bool> &vis,vector<ll> &level)
{
    queue<ll> q;
    q.push(v);
    vis[v]=1;
    level[v]=0;
    while(!q.empty())
    {
        ll ve=q.front();q.pop();
        for(ll i=0;i<edge[ve].size();i++)
        {
            ll vee=edge[ve][i];
            if(!vis[vee])
            {
                vis[vee]=1;
                level[vee]=level[ve]+1;
                q.push(vee);
            }
        }
    }
}
ll solve(ll x,ll n)
{
    ll low=0,high=2e9,mid;
    ll ans=x;
    while(low<high)
    {
        mid=low+(high-low)/2;
        ll val=(mid*(mid+1))/2;
        if(val>=x)
        {
            ans=mid;
            high=mid;
        }
        else
        {
            low=mid+1;
        }
    }
    return(ans);
}
bool chk(ll vv,vector<ll> &v)
{
    for(auto p:v)
    {
        if(p==vv)
            return 0;
    }
    return 1;
}
ll phi(ll n)
{
    ll ans=n;
    for(ll i=2;i*i<=n;i++)
    {
        if(n%i)
            continue;
        while(n%i==0)
        {
            n/=i;
        }
        ans=ans-ans/i;
    }
    if(n>1)
        ans-=ans/n;
    return(ans);
}
ll tr[800005];
void build(ll node,ll l,ll r,vector<ll> &v)
{
    if(l==r)
    {
        tr[node]=v[l];
        return;
    }
    ll mid=(l+r)/2;
    build(2*node+1,l,mid,v);
    build(2*node+2,mid+1,r,v);
    tr[node]=max(tr[2*node+1],tr[2*node+2]);
}
ll query(ll node,ll s,ll e,ll l,ll r)
{
    if(e<l || s>r)
        return 0;
    if(s>=l&&e<=r)
    return(tr[node]);
    ll mid=(s+e)/2;
    ll m1=query(2*node+1,s,mid,l,r);
    ll m2=query(2*node+2,mid+1,e,l,r);
    return(max(m1,m2));
}
ll nCr(ll n,ll r)
{
    ll ans=1;
    for(ll i=1;i<=n-r;i++)
    {
        ans=(ans*((r+i)));
        ans/=i;
        ans%=mod;
        //ans/=i;
    }
    ans%=mod;
    return(ans);
}
void djks(ll v,vvll &edge,vvll &dist)
{
    ll n=edge.size()-1;
    vll dis(n+1,inf);
    priority_queue<pll> pq;
    dis[v]=0;
    pq.push({0,v});
    while(!pq.empty())
    {
        pll p=pq.top();pq.pop();
        p.fi*=-1;
        for(ll i=1;i<=n;i++)
        {
            if(edge[p.se][i])
            {
                if(dis[i]>(dis[p.se]+edge[p.se][i]))
                {
                    dis[i]=dis[p.se]+edge[p.se][i];
                    pq.push({-dis[i],i});
                }
            }
        }
    }
    for(ll i=1;i<=n;i++)
    {
        dist[v][i]=dis[i];
    }
}

ll kmp(string &s)
{
    string t=s;
    reverse(all(t));
    string a=s+"#"+t;
    ll n=a.size();
    vll nxt(n);
    nxt[0]=0;
    ll i=0,j=1;
    while(j<n)
    {
        if(a[i]==a[j])
        {
            nxt[j]=i+1;
            i++;j++;
        }
        else
        {
            if(i)
            i=nxt[i-1];
            else
            {
                nxt[j]=0;
                j++;
            }
        }
    }
    return(nxt[n-1]);
}
string sadd(string a,string b)
{
    string t;
    ll la=a.length(),lb=b.length();
    ll d=0;
    ll i=la-1,j=lb-1;
    while(i>=0 && j>=0)
    {
        ll x=a[i]-'0',y=b[j]-'0';
        t.pb((x+y+d)%10+'0');
        d=(x+y+d)/10;
        i--;j--;
    }
    while(i>=0)
    {
        ll x=a[i]-'0';
        t.pb((x+d)%10+'0');
        d=(x+d)/10;i--;
    }
    while(j>=0)
    {
        ll y=b[j]-'0';
        t.pb((y+d)%10+'0');
        d=(y+d)/10;j--;
    }
    while(d)
    {
        t.pb(d%10+'0');
        d/=10;
    }
    //cout<<a<<" "<<b<<el;
    reverse(all(t));
    return(t);
}*/
const ll zzz = 1e3 + 5;
ll nCr[zzz][zzz];
void cal() {
  nCr[0][0] = 1;
  for (ll i = 1; i < zzz; i++) {
    nCr[i][0] = 1;
    for (ll j = 1; j < zzz; j++) {
      nCr[i][j] = (nCr[i - 1][j] + nCr[i - 1][j - 1]) % mod;
    }
  }
}
const ll N = 1e5 + 5;
bool check_prime(ll n) {
  for (ll i = 2; i * i <= n; i++) {
    if (n % i == 0)
      return 0;
  }
  return 1;
}
void doit() {
  ll h, w, m;
  cin >> h >> w >> m;
  vvll v(h + 1, vll(w + 1, 0));
  vll r(h + 1, 0), c(w + 1, 0);
  for (ll i = 0; i < m; i++) {
    ll a, b;
    cin >> a >> b;
    v[a][b]++;
    r[a]++;
    c[b]++;
  }
  ll mxr = 0, mxc = 0;
  for (auto p : r)
    mxr = max(mxr, p);
  for (auto p : c)
    mxc = max(mxc, p);
  vll rmx, cmx;
  for (ll i = 1; i <= h; i++) {
    if (r[i] == mxr)
      rmx.pb(i);
  }
  for (ll i = 1; i <= w; i++) {
    if (c[i] == mxc)
      cmx.pb(i);
  }
  ll ans = mxr + mxc - 1;
  for (auto p : rmx) {
    bool fg = 0;
    for (auto q : cmx) {
      if (v[p][q] == 0) {
        ans++;
        fg = 1;
        break;
      }
    }
    if (fg)
      break;
  }
  cout << ans;
  cout << el;
}
int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  cal(); // For nCr;
  // Array of length 5e6 can be made...and I think questions are also within
  // range 2^17>10^5 and 2^16<10^5
  ll t;
  t = 1;
  // cin>>t;
  while (t--) {
    doit();
  }
  return 0;
}