Submission #538252

#	Time	Username	Problem	Language	Result	Execution time	Memory
538252		idas	Cutting a rectangle (LMIO18_staciakampis)	C++11	20 / 100	313 ms	159328 KiB

staciakampis

#include <bits/stdc++.h>
#define FAST_IO ios_base::sync_with_stdio(0); cin.tie(nullptr); cout.tie(nullptr)
#define FOR(i, begin, end) for(int i = (begin); i < (end); i++)
#define TSTS int ttt; cin >> ttt; while(ttt--) solve()
#define all(x) (x).begin(), (x).end()
#define le(vec) vec[vec.size()-1]
#define sz(x) ((int)((x).size()))
#define pb push_back
#define s second
#define f first

using namespace std;
typedef long long ll;
typedef long double ld;
typedef vector<int> vi;
typedef map<int, int> mii;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long double, long double> pdd;

const int INF=1e9, MOD=1e9+7, mod=998244353;
const ll LINF=1e13;

void setIO()
{
    FAST_IO;
}

void setIO(string s)
{
    FAST_IO;
    freopen((s+".in").c_str(), "r", stdin);
    freopen((s+".out").c_str(), "w", stdout);
}

#define int long long

const int N=1e5+10;
int n, a[N], b[N];
vector<pii> inf;
ll area;

bool can(int x, int y)
{
    if(x*y!=area) return false;

    map<int, stack<pii>> ar, br;
    FOR(i, 0, n)
    {
        ar[inf[i].f].push({inf[i].s, i});
        br[inf[i].s].push({inf[i].f, i});
    }

    map<int, bool> v;
    while(x>0 && y>0){
        while(!ar[x].empty() && v[ar[x].top().s]) ar[x].pop();
        while(!br[x].empty() && v[br[x].top().s]) br[x].pop();
        while(!ar[y].empty() && v[ar[y].top().s]) ar[y].pop();
        while(!br[y].empty() && v[br[y].top().s]) br[y].pop();

        if(x<y) swap(x, y);

        if(sz(ar[x])){
            pii tp=ar[x].top();
            v[tp.s]=true;
            y-=tp.f;
            ar[x].pop();
            continue;
        }

        if(sz(br[y])){
            pii tp=br[y].top();
            v[tp.s]=true;
            x-=tp.f;
            br[y].pop();
            continue;
        }

        if(sz(ar[y])){
            pii tp=ar[y].top();
            v[tp.s]=true;
            x-=tp.f;
            ar[y].pop();
            continue;
        }
        return false;
    }
    return true;
}

signed main()
{
    setIO();
    cin >> n;
    set<int> aa, bb;
    FOR(i, 0, n)
    {
        cin >> a[i] >> b[i];
        inf.pb({a[i],b[i]});
        area+=a[i]*b[i];
        aa.insert(a[i]);
        bb.insert(b[i]);
    }

    sort(all(inf), greater<pii>());
    FOR(i, 0, n)
    {
        a[i]=inf[i].f; b[i]=inf[i].s;
    }

    set<int> ans;

//    for(ll i=1; i*i<=area; i++){
//        if(area%i==0){
//            ll x=i, y=area/x;
//            if(can(x, y)){
//                ans.insert(x);
//            }
//        }
//    }

    if(area%a[0]==0){
        if(aa.count(area/a[0]-b[0])){
            int x=a[0], y=area/a[0];
            if(can(x, y)){
                ans.insert(min(x, y));
            }
        }

        if(bb.count(area/a[0]-b[0])){
            int x=a[0], y=area/a[0];
            if(can(x, y)){
                ans.insert(min(x, y));
            }
        }
    }

    FOR(i, 1, n)
    {
        if(area%(a[0]+b[i])==0 && area/(a[0]+b[i])==a[i]){
            int x=a[0]+b[i], y=a[i];
            if(can(x, y)){
                ans.insert(min(x, y));
            }
        }

        if(area%(a[0]+a[i])==0 && area/(a[0]+a[i])==b[i]){
            int x=a[0]+a[i], y=b[i];
            if(can(x, y)){
                ans.insert(min(x, y));
            }
        }
    }

    ll now=b[0];
    bool bad=false;
    FOR(i, 1, n)
    {
        if(a[i]!=now && b[i]!=now){
            bad=true;
            break;
        }
    }

    if(!bad){
        ans.insert(now);
    }

    cout << sz(ans) << '\n';
    for(auto x : ans){
        cout << x << '\n';
    }
}

Compilation message (stderr)

staciakampis.cpp: In function 'void setIO(std::string)':
staciakampis.cpp:32:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   32 |     freopen((s+".in").c_str(), "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
staciakampis.cpp:33:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   33 |     freopen((s+".out").c_str(), "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 0 / 25
• Subtask 2: 20 / 20
• Subtask 3: 0 / 55