QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#89450#5251. Constellationstom0727AC ✓2907ms112288kbC++147.1kb2023-03-20 08:04:092023-03-20 08:04:10

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-20 08:04:10]
  • 评测
  • 测评结果:AC
  • 用时:2907ms
  • 内存:112288kb
  • [2023-03-20 08:04:09]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

#if __cplusplus >= 201103L
    struct pairhash {
        static uint64_t splitmix64(uint64_t x) {
            x += 0x9e3779b97f4a7c15;
            x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
            x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
            return x ^ (x >> 31);
        }

        template<class T, class U>
        size_t operator() (const pair<T,U> &p) const {
            static const uint64_t FIXED_RANDOM = (uint64_t)chrono::steady_clock::now().time_since_epoch().count();
            return splitmix64(p.first + FIXED_RANDOM) ^ splitmix64(p.second+ FIXED_RANDOM);
        }
    };
    struct custom_hash {
        static uint64_t splitmix64(uint64_t x) {
            x += 0x9e3779b97f4a7c15;
            x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
            x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
            return x ^ (x >> 31);
        }

        size_t operator()(uint64_t x) const {
            static const uint64_t FIXED_RANDOM = (uint64_t)chrono::steady_clock::now().time_since_epoch().count();
            return splitmix64(x + FIXED_RANDOM);
        }
    };
    mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
    inline int randint(int l, int r) {
        return uniform_int_distribution<int>(l,r)(rng);
    }
    inline double randdouble(double l, double r) {
        return uniform_real_distribution<double>(l,r)(rng);
    }
#endif
 
#ifndef ONLINE_JUDGE
#  define LOG(x) (cerr << #x << " = " << (x) << endl)
#else
#  define LOG(x) 0
#endif

#define fastio ios::sync_with_stdio(false); cin.tie(0);
#define ll long long
#define ull unsigned long long
#define ll128 __int128_t
#define PI 3.14159265358979323846
#define abs(a) ((a>0)?a:-(a))
#define pii pair<int,int>
#define pll pair<ll,ll>

const long double pi = acos(-1.0);
const long double eps = (double)1e-8;

const int mod = 998244353;

template<class T>
T qpow(T a, int b) {
    T res = 1;
    while (b) {
        if (b & 1) res *= a;
        a *= a;
        b >>= 1;
    }
    return res;
}
int norm(int x) {
    if (x < 0) {
        x += mod;
    }
    if (x >= mod) {
        x -= mod;
    }
    return x;
}
struct Z {
    int x;
    Z(int x = 0) : x(norm(x)) {}
    Z(ll x) : x(norm((int)(x % mod))) {}
    int val() const {
        return x;
    }
    Z operator-() const {
        return Z(norm(mod - x));
    }
    Z inv() const {
        assert(x != 0);
        return qpow(*this, mod - 2);
    }
    Z &operator*=(const Z &rhs) {
        x = (ll)(x) * rhs.x % mod;
        return *this;
    }
    Z &operator+=(const Z &rhs) {
        x = norm(x + rhs.x);
        return *this;
    }
    Z &operator-=(const Z &rhs) {
        x = norm(x - rhs.x);
        return *this;
    }
    Z &operator/=(const Z &rhs) {
        return *this *= rhs.inv();
    }
    friend Z operator*(const Z &lhs, const Z &rhs) {
        Z res = lhs;
        res *= rhs;
        return res;
    }
    friend Z operator+(const Z &lhs, const Z &rhs) {
        Z res = lhs;
        res += rhs;
        return res;
    }
    friend Z operator-(const Z &lhs, const Z &rhs) {
        Z res = lhs;
        res -= rhs;
        return res;
    }
    friend Z operator/(const Z &lhs, const Z &rhs) {
        Z res = lhs;
        res /= rhs;
        return res;
    }
    friend std::istream &operator>>(std::istream &is, Z &a) {
        ll v;
        is >> v;
        a = Z(v);
        return is;
    }
    friend std::ostream &operator<<(std::ostream &os, const Z &a) {
        return os << a.val();
    }
};

const int maxn = 4e3+5;
const int maxm = (500*500+105) * 2;

// int par[maxn], sz[maxn];
// int finds(int u) {
//     if (par[u] == u) return u;
//     return par[u] = finds(par[u]);
// }

int sz[maxn];
int id;
// int age[maxn];
ll dis[maxn][maxn];
ll getdis(int a, int b) {
    return dis[min(a,b)][max(a,b)];
}

struct Node {
    ll d;
    int a, b;
    bool operator<(const Node& other) const {
        // int pa = finds(a), pb = finds(b);
        // int na = finds(other.a), nb = finds(other.b);

        int na = other.a, nb = other.b;
        ll d1 = d * sz[na] * sz[nb], d2 = other.d * sz[a] * sz[b];
        if (d1 == d2) {
            return (pii){min(a,b), max(a,b)} > (pii){min(na,nb), max(na,nb)};
            // return (pii){min(age[pa], age[pb]), max(age[pa], age[pb])} > (pii){min(age[na], age[nb]), max(age[na], age[nb])};
        }
        return d1 > d2;
    }
};
int n, x[maxn], y[maxn];
priority_queue<Node> pq;
// bool unions(int u, int v) {
//     u = finds(u), v = finds(v);
//     if (u == v) return 0;
//     if (sz[u] > sz[v]) {
//         par[v] = u;
//         sz[u] += sz[v];
//         sz[v] = 0;
//         // clearall(v);
//     } else {
//         par[u] = v;
//         sz[v] += sz[u];
//         sz[u] = 0;
//         // clearall(u);
//     }
//     return 1;
// }
inline ll sq(int x) {return x*x;}
ll cal(int i, int j) {
    return sq(x[i] - x[j]) + sq(y[i] - y[j]);
}
void printpq() {
    priority_queue<Node> tmp = pq;
    printf("pq = {");
    while (tmp.size()) {
        printf("(%d,%d),",tmp.top().a, tmp.top().b);
        tmp.pop();
    }
    printf("}\n");
}

bool alive[maxn];
int main() {
    cin >> n;
    for (int i = 1; i <= n; i++) sz[i] = 1, cin >> x[i] >> y[i];
    for (int i = 1; i <= n; i++) {
        for (int j = i+1; j <= n; j++) {
            dis[i][j] = cal(i,j);
            pq.push({cal(i,j), i, j});
        }
    }
    fill(alive+1, alive+n+1, 1);

    int cnt = 0;
    int cur = n;
    while (cnt < n-1) {
        Node nd = pq.top(); pq.pop();
        // if (finds(nd.a) == finds(nd.b)) continue;
        // if (nd.a != finds(nd.a) || nd.b != finds(nd.b)) continue;
        if (getdis(nd.a,nd.b) != nd.d) continue;
        int a = nd.a, b = nd.b;
        if (!alive[a] || !alive[b]) continue;
        // printf("a = %d, b = %d\n",finds(a),finds(b));
        // a = finds(a), b = finds(b);
        // LOG(getdis(1, 3));
        // LOG(getdis(2, 3));
        // LOG(getdis(3, 4));
        sz[++cur] = sz[a] + sz[b];
        alive[a] = alive[b] = 0;
        alive[cur] = 1;

        // unions(a, b);
        for (int c = 1; c < cur; c++) {
            if (!alive[c]) continue;

            dis[c][cur] = getdis(a, c) + getdis(b, c);
            pq.push({dis[c][cur], c, cur});
            // LOG(pc);
            // LOG(dis[min(a, pc)][max(a, pc)]);
            // LOG(getdis(a, pc));
            // dis[min(a, pc)][max(a, pc)] + dis[min(b, pc)][max(b, pc)];
            // dis[min(b, pc)][max(b, pc)] = getdis(a, pc);
            // pq.push({dis[min(a, pc)][max(a, pc)], a, pc});
        }
        // for (int c = 1; c <= n; c++) {
        //     int pc = finds(c), pa = finds(a);
        //     if (pc == finds(a) || pc == finds(b) || c != pc) continue;
        //     pq.push({getdis(pa, pc), min(pa, pc), max(pa, pc)});
        //     // LOG(pc);
        // }

        cout << sz[cur] << endl;
        // LOG(getdis(2, 3));
        // LOG(getdis(3, 4));
        cnt++;
        // printpq();
    }
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3544kb

input:

2
0 0
1 0

output:

2

result:

ok single line: '2'

Test #2:

score: 0
Accepted
time: 1965ms
memory: 112208kb

input:

2000
1000 -1000
1000 -999
1000 -998
1000 -997
1000 -996
1000 -995
1000 -994
1000 -993
1000 -992
1000 -991
1000 -990
1000 -989
1000 -988
1000 -987
1000 -986
1000 -985
1000 -984
1000 -983
1000 -982
1000 -981
1000 -980
1000 -979
1000 -978
1000 -977
1000 -976
1000 -975
1000 -974
1000 -973
1000 -972
1000...

output:

2
2
2
2
2
2
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2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #3:

score: 0
Accepted
time: 1948ms
memory: 112276kb

input:

2000
-1000 1000
-999 1000
-998 1000
-997 1000
-996 1000
-995 1000
-994 1000
-993 1000
-992 1000
-991 1000
-990 1000
-989 1000
-988 1000
-987 1000
-986 1000
-985 1000
-984 1000
-983 1000
-982 1000
-981 1000
-980 1000
-979 1000
-978 1000
-977 1000
-976 1000
-975 1000
-974 1000
-973 1000
-972 1000
-971...

output:

2
2
2
2
2
2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #4:

score: 0
Accepted
time: 1988ms
memory: 112212kb

input:

2000
-1000 -1000
-999 -1000
-998 -1000
-997 -1000
-996 -1000
-995 -1000
-994 -1000
-993 -1000
-992 -1000
-991 -1000
-990 -1000
-989 -1000
-988 -1000
-987 -1000
-986 -1000
-985 -1000
-984 -1000
-983 -1000
-982 -1000
-981 -1000
-980 -1000
-979 -1000
-978 -1000
-977 -1000
-976 -1000
-975 -1000
-974 -10...

output:

2
2
2
2
2
2
2
2
2
2
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2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #5:

score: 0
Accepted
time: 2010ms
memory: 112224kb

input:

2000
-1000 -1000
-1000 -999
-1000 -998
-1000 -997
-1000 -996
-1000 -995
-1000 -994
-1000 -993
-1000 -992
-1000 -991
-1000 -990
-1000 -989
-1000 -988
-1000 -987
-1000 -986
-1000 -985
-1000 -984
-1000 -983
-1000 -982
-1000 -981
-1000 -980
-1000 -979
-1000 -978
-1000 -977
-1000 -976
-1000 -975
-1000 -9...

output:

2
2
2
2
2
2
2
2
2
2
2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #6:

score: 0
Accepted
time: 2038ms
memory: 112232kb

input:

2000
1000 -250
1000 -249
1000 -248
1000 -247
1000 -246
1000 -245
1000 -244
1000 -243
1000 -242
1000 -241
1000 -240
1000 -239
1000 -238
1000 -237
1000 -236
1000 -235
1000 -234
1000 -233
1000 -232
1000 -231
1000 -230
1000 -229
1000 -228
1000 -227
1000 -226
1000 -225
1000 -224
1000 -223
1000 -222
1000 ...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
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2
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2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #7:

score: 0
Accepted
time: 1948ms
memory: 112288kb

input:

2000
0 -1000
0 -999
0 -998
0 -997
0 -996
0 -995
0 -994
0 -993
0 -992
0 -991
0 -990
0 -989
0 -988
0 -987
0 -986
0 -985
0 -984
0 -983
0 -982
0 -981
0 -980
0 -979
0 -978
0 -977
0 -976
0 -975
0 -974
0 -973
0 -972
0 -971
0 -970
0 -969
0 -968
0 -967
0 -966
0 -965
0 -964
0 -963
0 -962
0 -961
0 -960
0 -959
...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
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2
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2
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2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #8:

score: 0
Accepted
time: 2887ms
memory: 111988kb

input:

2000
-400 571
-725 636
-880 529
-657 372
-383 382
-746 888
-604 785
-497 557
-677 977
-562 917
-530 623
-636 535
-816 579
-633 428
-573 561
-496 479
-409 448
-570 379
-421 795
-827 865
-730 809
-423 984
-676 772
-398 816
-451 373
-756 777
-351 829
-954 345
-543 871
-595 521
-501 734
-378 769
-987 60...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
2
...

result:

ok 1999 lines

Test #9:

score: 0
Accepted
time: 2818ms
memory: 112052kb

input:

2000
-946 966
-655 760
-539 413
-857 715
-668 993
-543 399
-724 415
-584 464
-364 541
-518 756
-966 790
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-949 959
-668 518
-780 583
-854 612
-786 601
-527 758
-444 563
-994 840
-575 49...

output:

2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
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2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
3
3
2
2
2
...

result:

ok 1999 lines

Test #10:

score: 0
Accepted
time: 2761ms
memory: 112072kb

input:

2000
-707 382
-500 486
-927 357
-972 984
-738 591
-535 766
-610 603
-582 908
-923 676
-689 828
-940 783
-502 728
-971 384
-873 909
-824 412
-532 805
-715 448
-972 748
-423 975
-355 915
-943 453
-740 998
-776 457
-395 764
-805 337
-650 520
-656 612
-1000 841
-758 423
-414 762
-443 674
-666 469
-814 6...

output:

2
2
2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
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2
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2
2
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #11:

score: 0
Accepted
time: 2907ms
memory: 111452kb

input:

2000
0 0
0 -1
1 -1
-1 1
-1 2
1 -2
3 0
1 -4
3 -3
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-1 5
5 3
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4 6
-6 -5
4 -7
-2 9
1 -9
7 7
4 10
7 9
5 10
6 11
-5 12
-13 4
-5 13
14 2
10 11
-6 14
16 -1
11 -12
-14 -9
-14 11
15 11
-16 9
6 18
0 20
13 -15
9 -19
-10 -19
-21 8
-4 -22
-23 0
16 17
12 -21
-22 12
4 25
-14 -21
-7 -25
-3 -27
-27 1
23 16
1...

output:

2
2
2
2
2
2
2
2
2
2
2
2
4
3
3
2
2
2
2
2
2
2
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2
2
2
2
2
5
2
2
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2
2
2
2
2
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2
2
2
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7
5
3
2
2
2
2
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2
2
2
2
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2
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2
2
2
2
2
2
2
2
2
9
3
2
2
2
2
2
2
3
3
3
6
2
2
2
2
2
2
2
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2
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2
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
8
2
2
2
2
2
2
2
2
2
3
3
4
4
2
2
2
2
11
3
3
2
2
2
2
2
2
4
2
2
2
2
2
2
2
2
2...

result:

ok 1999 lines

Test #12:

score: 0
Accepted
time: 2844ms
memory: 111524kb

input:

2000
0 0
-1 0
1 -1
0 -2
-1 -2
1 3
-3 1
3 2
-4 -1
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4 4
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3 6
6 5
-7 4
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8 5
3 -9
3 -10
11 0
8 -9
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11 -7
6 12
-7 -12
0 -14
14 -5
-15 -1
-4 -15
-2 -16
-13 11
-15 -9
8 16
-18 -6
18 5
-16 12
-9 18
-1 -21
-15 -15
4 -22
-22 4
7 -22
19 -14
16 -18
15 19
-5 25
2 26
-1 26
-7 -26
23 -16
...

output:

2
2
2
2
2
2
2
2
3
2
2
2
2
2
2
5
2
2
2
2
2
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2
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3
4
3
3
2
2
2
2
2
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7
2
2
2
2
2
2
2
2
2
2
2
2
2
9
2
2
2
2
2
2
2
2
2
6
2
3
2
2
2
2
2
2
2
2
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2
2
2
2
4
2
2
2
2
2
3
3
2
2
2
2
2
2
2
2
2
5
2
2
2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
3
4
2
2
3
3
3
3
2
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #13:

score: 0
Accepted
time: 2699ms
memory: 111916kb

input:

2000
44 -748
385 448
-556 196
-569 -152
25 178
-865 609
644 -339
780 -558
429 676
469 712
876 987
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375 970
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158 -340
-665 -673
153 484
-662 155
879 -724
-490 -785
-273 641
318 557
377 -706
260 695
-657 -926
-561 -315
861 -328
836 253
432 -505
-229 832
-774 -194
866 -951
171 6...

output:

2
2
2
2
2
2
2
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2
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2
2
2
3
2
3
2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #14:

score: 0
Accepted
time: 2815ms
memory: 111920kb

input:

2000
594 213
978 59
312 909
-226 -78
361 -398
-349 80
-9 -489
862 -525
-104 442
817 901
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279 -86
29 971
161 187
103 920
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997 -179
-883 -78
442 322
463 -867
174 836
-92 308
179 -281
-960 578
513 -27
-436 -585
435 -621
-630 898
816 -515
693 205
-855 -124
27 -819
5 325
-510 -...

output:

2
2
2
2
2
2
2
2
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2
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2
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3
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2
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2
2
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #15:

score: 0
Accepted
time: 2725ms
memory: 112216kb

input:

2000
30 -912
687 32
-171 -142
320 -399
-304 640
-449 -761
-616 -493
-948 -63
-597 689
821 -935
-24 959
-568 78
-311 -446
929 733
-41 497
-345 909
131 -65
626 143
93 317
240 -796
165 193
-435 -211
-413 -830
845 -457
261 -508
-561 732
-194 934
-615 761
762 -370
614 -348
-663 720
-857 -457
695 -769
668...

output:

2
2
2
2
2
2
2
2
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4
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2
2
2
2
3
2
2
2
2
2
2
2
2
2
2
...

result:

ok 1999 lines

Test #16:

score: 0
Accepted
time: 2ms
memory: 3516kb

input:

4
0 0
0 -1
0 1
0 2

output:

2
2
4

result:

ok 3 lines