oj.uz

Submission #681701

# Submission time Handle Problem Language Result Execution time Memory
681701 2023-01-13T18:43:44 Z qwerasdfzxcl Izvanzemaljci (COI21_izvanzemaljci) C++17
68 / 100
 994 ms 3152 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, -2e9-5000, -2e9-5000);
        rans3.emplace_back(1, -2e9-6000, -2e9-6000);
        return 1;
    }

    sort(b+s, b+e+1);
    b[e+1].first = 2e9;
    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

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 312 KB Output is correct
4 Correct 1 ms 316 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 31 ms 2128 KB Output is correct
8 Correct 33 ms 2200 KB Output is correct
9 Correct 33 ms 2152 KB Output is correct
10 Correct 32 ms 2124 KB Output is correct
11 Correct 30 ms 2244 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 316 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 308 KB Output is correct
9 Correct 0 ms 312 KB Output is correct
10 Correct 42 ms 3052 KB Output is correct
11 Correct 41 ms 3144 KB Output is correct
12 Correct 40 ms 3136 KB Output is correct
13 Correct 40 ms 3144 KB Output is correct
14 Correct 40 ms 3076 KB Output is correct
15 Correct 39 ms 3152 KB Output is correct
16 Correct 43 ms 3104 KB Output is correct
17 Correct 35 ms 2892 KB Output is correct
18 Correct 36 ms 2892 KB Output is correct
19 Correct 34 ms 2708 KB Output is correct
20 Correct 40 ms 2764 KB Output is correct
21 Correct 43 ms 3064 KB Output is correct
22 Correct 43 ms 3140 KB Output is correct
23 Correct 39 ms 3144 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 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 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 320 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 316 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 376 KB Output is correct
2 Correct 11 ms 376 KB Output is correct
3 Correct 8 ms 328 KB Output is correct
4 Correct 10 ms 340 KB Output is correct
5 Correct 12 ms 376 KB Output is correct
6 Correct 10 ms 376 KB Output is correct
7 Correct 8 ms 340 KB Output is correct
8 Correct 12 ms 340 KB Output is correct
9 Correct 12 ms 384 KB Output is correct
10 Correct 8 ms 340 KB Output is correct
11 Correct 10 ms 340 KB Output is correct
12 Correct 8 ms 376 KB Output is correct
13 Correct 9 ms 340 KB Output is correct
14 Correct 8 ms 376 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 376 KB Output is correct
19 Correct 9 ms 340 KB Output is correct
20 Correct 6 ms 340 KB Output is correct
21 Correct 5 ms 340 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

# Verdict Execution time Memory Grader output
1 Correct 8 ms 340 KB Output is correct
2 Correct 8 ms 364 KB Output is correct
3 Correct 11 ms 364 KB Output is correct
4 Correct 7 ms 340 KB Output is correct
5 Correct 11 ms 360 KB Output is correct
6 Correct 10 ms 340 KB Output is correct
7 Correct 11 ms 340 KB Output is correct
8 Correct 12 ms 360 KB Output is correct
9 Correct 12 ms 340 KB Output is correct
10 Correct 10 ms 340 KB Output is correct
11 Correct 10 ms 360 KB Output is correct
12 Correct 8 ms 356 KB Output is correct
13 Correct 8 ms 340 KB Output is correct
14 Incorrect 994 ms 2748 KB Output isn't correct
15 Halted 0 ms 0 KB -