oj.uz

답안 #681702

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
681702 2023-01-13T18:47:12 Z qwerasdfzxcl Izvanzemaljci (COI21_izvanzemaljci) C++17
56 / 100
 963 ms 2724 KB 
#include <bits/stdc++.h>

typedef long long ll;
using namespace std;
struct Square{
    ll l, x, y;
    Square(){}
    Square(ll _l, ll _x, ll _y): l(_l), x(_x), y(_y) {}

    void print(){printf("%lld %lld %lld\n", x, y, l);}
};
pair<int, int> a[100100], a0[100100];
int mn[100100], mx[100100];

void solve1(int n){
    sort(a+1, a+n+1);
    int y1 = a[1].second, y2 = a[1].second;
    for (int i=1;i<=n;i++){
        y1 = min(y1, a[i].second);
        y2 = max(y2, a[i].second);
    }

    Square ans(max(max(a[n].first-a[1].first, y2-y1), 1), a[1].first, y1);
    ans.print();
}

pair<int, pair<Square, Square>> solve2x(int n){
    sort(a+1, a+n+1);
    a[n+1].first = 1e9+100;
    mn[n] = a[n].second;
    mx[n] = a[n].second;
    for (int i=n-1;i>0;i--){
        mn[i] = min(mn[i+1], a[i].second);
        mx[i] = max(mx[i+1], a[i].second);
    }

    int y1 = 1e9, y2 = -1e9, ans = 2e9 + 100;
    pair<Square, Square> ret;
    for (int i=1;i<=n;i++){
        y1 = min(y1, a[i].second);
        y2 = max(y2, a[i].second);

        int L1 = max(y2-y1, a[i].first-a[1].first);
        int L2 = max(mx[i+1]-mn[i+1], a[n].first-a[i+1].first);
        L1 = max(L1, 1);
        L2 = max(L2, 1);

        if (ans > max(L1, L2) && a[i].first < a[i+1].first){
            ans = max(L1, L2);
            ret = make_pair(Square(L1, (ll)a[i].first-L1, (ll)y1), Square(L2, (ll)a[i+1].first, (ll)mn[i+1]));
        }
    }

    return {ans, ret};
}

void solve2(int n){
    auto [ans1, p1] = solve2x(n);
    for (int i=1;i<=n;i++) swap(a[i].first, a[i].second);
    auto [ans2, p2] = solve2x(n);

    auto p = p1;
    if (ans2 < ans1){
        p = p2;
        swap(p.first.x, p.first.y);
        swap(p.second.x, p.second.y);
    }

    p.first.print();
    p.second.print();
}

vector<Square> rans3;
pair<int, int> b[100100];
bool solve3x(int s, int e, ll L, ll mnx){
    if (s>e){
        rans3.emplace_back(1, -3e9-5000, -2e9-5000);
        rans3.emplace_back(1, -2e9-6000, -2e9-6000);
        return 1;
    }

    sort(b+s, b+e+1);
    b[e+1].first = 1e9+100;
    mn[e] = b[e].second;
    mx[e] = b[e].second;
    for (int i=e-1;i>=s;i--){
        mn[i] = min(mn[i+1], b[i].second);
        mx[i] = max(mx[i+1], b[i].second);
    }

    ll y1 = 1e18, y2 = -1e18, ans = 1e18;
    pair<Square, Square> ret;
    for (int i=s;i<=e;i++){
        y1 = min(y1, (ll)b[i].second);
        y2 = max(y2, (ll)b[i].second);

        ll L1 = max(y2-y1, (ll)b[i].first-b[s].first);
        ll L2 = max((ll)mx[i+1]-mn[i+1], (ll)b[e].first-b[i+1].first);
        L1 = max(L1, 1LL);
        L2 = max(L2, 1LL);

        if (ans > max(L1, L2) && b[i].first < b[i+1].first){
            ll X = min(b[i+1].first-1-L1, (ll)b[s].first);
            if (X < mnx) continue;

            ans = max(L1, L2);
            ret = make_pair(Square(L1, X, y1), Square(L2, b[i+1].first, mn[i+1]));
        }
    }

    if (ans <= L){
        rans3.push_back(ret.first);
        rans3.push_back(ret.second);
        return 1;
    }

    return 0;
}

bool solve3xx(int n, ll L){
    rans3.clear();
    sort(a+1, a+n+1);

    ll y1 = 1e18, y2 = -1e18;
    for (int i=1;i<=n+1;){
        int r = i;
        ll py1 = y1, py2 = y2;

        while(r<=n && a[i].first==a[r].first){
            y1 = min(y1, (ll)a[r].second);
            y2 = max(y2, (ll)a[r].second);
            ++r;
        }

        ll len = max((ll)a[i].first - a[1].first, y2-y1);

        if (len > L || i==n+1){
            if (py1==1e18) return 0;

            for (int j=i;j<=n;j++) b[j] = a[j];
            if (solve3x(i, n, L, a[i-1].first+1)){
                ll rlen = max((ll)a[i-1].first - a[1].first, py2-py1);
                rlen = max(rlen, 1LL);
                rans3.emplace_back(rlen, a[i-1].first-rlen, py1);
                return 1;
            }
            return 0;
        }


        i = r;
    }

    assert(0);
}

bool solve3xy(int n, ll L){
    rans3.clear();
    sort(a+1, a+n+1);

    ll y1 = 1e18, y2 = -1e18;
    for (int i=1;i<=n+1;){
        int r = i;
        ll py1 = y1, py2 = y2;

        while(r<=n && a[i].first==a[r].first){
            y1 = min(y1, (ll)a[r].second);
            y2 = max(y2, (ll)a[r].second);
            ++r;
        }

        ll len = max((ll)a[i].first - a[1].first, y2-y1);

        if (len > L || i==n+1){
            if (py1==1e18) return 0;

            for (int j=i;j<=n;j++) b[j] = {a[j].second, a[j].first};
            if (solve3x(i, n, L, -1e18)){
                for (auto &S:rans3) swap(S.x, S.y);
                ll rlen = max((ll)a[i-1].first - a[1].first, py2-py1);
                rlen = max(rlen, 1LL);
                rans3.emplace_back(rlen, a[i-1].first-rlen, py1);
                return 1;
            }
            return 0;
        }


        i = r;
    }

    assert(0);
}

bool ok(int n, ll L){
    for (int i=1;i<=n;i++) a[i] = a0[i];

    //if (L==2) printf("\nok\n");
    if (solve3xx(n, L)) return 1;

    //if (L==2) printf("ok\n");
    if (solve3xy(n, L)) return 1;
    for (int i=1;i<=n;i++) a[i].first = -a[i].first;
    //if (L==2) printf("ok\n");
    if (solve3xy(n, L)){
        for (auto &S:rans3) S.x = -S.x-S.l;
        return 1;
    }
    for (int i=1;i<=n;i++) a[i].first = -a[i].first;


    ///swap xy
    for (int i=1;i<=n;i++) swap(a[i].first, a[i].second);

    //if (L==2) printf("ok\n");
    if (solve3xx(n, L)){
        for (auto &S:rans3) swap(S.x, S.y);
        return 1;
    }
    //if (L==2) printf("ok\n");
    if (solve3xy(n, L)){
        for (auto &S:rans3) swap(S.x, S.y);
        return 1;
    }
    for (int i=1;i<=n;i++) a[i].first = -a[i].first;
    //if (L==2) printf("ok\n");
    if (solve3xy(n, L)){
        for (auto &S:rans3) S.x = -S.x-S.l;
        for (auto &S:rans3) swap(S.x, S.y);
        return 1;
    }

    return 0;
}

void solve3(int n){
    ll l = 1, r = 2e9+100, ans = -1;
    while(l<=r){
        ll m = (l+r)/2;
        if (ok(n, m)) r = m-1, ans = m;
        else l = m+1;
    }

    assert(ans!=-1);
    ok(n, ans);
    for (auto &S:rans3) S.print();
}

int main(){
    int n, k;
    scanf("%d %d", &n, &k);
    for (int i=1;i<=n;i++) scanf("%d %d", &a[i].first, &a[i].second);
    for (int i=1;i<=n;i++) a0[i] = a[i];
    if (k==1) solve1(n);
    if (k==2) solve2(n);
    if (k==3) solve3(n);
    return 0;
}

Compilation message

izvanzemaljci.cpp: In function 'int main()':
izvanzemaljci.cpp:251:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  251 |     scanf("%d %d", &n, &k);
      |     ~~~~~^~~~~~~~~~~~~~~~~
izvanzemaljci.cpp:252:33: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  252 |     for (int i=1;i<=n;i++) scanf("%d %d", &a[i].first, &a[i].second);
      |                            ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 32 ms 1740 KB Output is correct
8 Correct 29 ms 1852 KB Output is correct
9 Correct 30 ms 1876 KB Output is correct
10 Correct 28 ms 1752 KB Output is correct
11 Correct 29 ms 1856 KB Output is correct

Subtask #2
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 288 KB Output is correct
10 Correct 38 ms 2644 KB Output is correct
11 Correct 41 ms 2640 KB Output is correct
12 Correct 40 ms 2520 KB Output is correct
13 Correct 38 ms 2600 KB Output is correct
14 Correct 41 ms 2624 KB Output is correct
15 Correct 40 ms 2628 KB Output is correct
16 Correct 38 ms 2636 KB Output is correct
17 Correct 34 ms 2448 KB Output is correct
18 Correct 33 ms 2380 KB Output is correct
19 Correct 30 ms 2124 KB Output is correct
20 Correct 31 ms 2344 KB Output is correct
21 Correct 37 ms 2636 KB Output is correct
22 Correct 37 ms 2644 KB Output is correct
23 Correct 40 ms 2628 KB Output is correct

Subtask #3
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Incorrect 0 ms 212 KB Integer -3000005000 violates the range [-3*10^9, 3*10^9]
2 Halted 0 ms 0 KB -

Subtask #4
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 468 KB Output is correct
2 Correct 11 ms 340 KB Output is correct
3 Correct 9 ms 352 KB Output is correct
4 Correct 11 ms 340 KB Output is correct
5 Correct 14 ms 352 KB Output is correct
6 Correct 9 ms 340 KB Output is correct
7 Correct 8 ms 356 KB Output is correct
8 Correct 11 ms 340 KB Output is correct
9 Correct 11 ms 352 KB Output is correct
10 Correct 7 ms 340 KB Output is correct
11 Correct 10 ms 340 KB Output is correct
12 Correct 8 ms 352 KB Output is correct
13 Correct 9 ms 340 KB Output is correct
14 Correct 7 ms 340 KB Output is correct
15 Correct 6 ms 340 KB Output is correct
16 Correct 7 ms 340 KB Output is correct
17 Correct 5 ms 340 KB Output is correct
18 Correct 6 ms 340 KB Output is correct
19 Correct 8 ms 340 KB Output is correct
20 Correct 5 ms 340 KB Output is correct
21 Correct 5 ms 348 KB Output is correct
22 Correct 5 ms 340 KB Output is correct
23 Correct 5 ms 340 KB Output is correct
24 Correct 6 ms 340 KB Output is correct

Subtask #5
0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 8 ms 340 KB Output is correct
2 Correct 9 ms 448 KB Output is correct
3 Correct 11 ms 340 KB Output is correct
4 Correct 7 ms 340 KB Output is correct
5 Correct 10 ms 360 KB Output is correct
6 Correct 9 ms 356 KB Output is correct
7 Correct 10 ms 340 KB Output is correct
8 Correct 10 ms 356 KB Output is correct
9 Correct 11 ms 356 KB Output is correct
10 Correct 8 ms 356 KB Output is correct
11 Correct 8 ms 340 KB Output is correct
12 Correct 8 ms 340 KB Output is correct
13 Correct 8 ms 340 KB Output is correct
14 Incorrect 963 ms 2724 KB Output isn't correct
15 Halted 0 ms 0 KB -