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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#582308#9168. Square Locatorucup-team4435#AC ✓1ms3736kbC++203.6kb2024-09-22 16:00:202024-09-22 16:00:21

Judging History

你现在查看的是最新测评结果

  • [2024-09-22 16:00:21]
  • 评测
  • 测评结果:AC
  • 用时:1ms
  • 内存:3736kb
  • [2024-09-22 16:00:20]
  • 提交

answer

#pragma GCC optimize("Ofast")

#include "bits/stdc++.h"

#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep1(i, n) for (int i = 1; i < (n); ++i)
#define rep1n(i, n) for (int i = 1; i <= (n); ++i)
#define repr(i, n) for (int i = (n) - 1; i >= 0; --i)
#define pb push_back
#define eb emplace_back
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define each(x, a) for (auto &x : a)
#define ar array
#define vec vector
#define range(i, n) rep(i, n)

using namespace std;

using ll = long long;
using ull = unsigned long long;
using ld = long double;
using str = string;
using pi = pair<int, int>;
using pl = pair<ll, ll>;

using vi = vector<int>;
using vl = vector<ll>;
using vpi = vector<pair<int, int>>;
using vvi = vector<vi>;

int Bit(int mask, int b) { return (mask >> b) & 1; }

template<class T>
bool ckmin(T &a, const T &b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}

template<class T>
bool ckmax(T &a, const T &b) {
    if (b > a) {
        a = b;
        return true;
    }
    return false;
}

// [l, r)
template<typename T, typename F>
T FindFirstTrue(T l, T r, const F &predicat) {
    --l;
    while (r - l > 1) {
        T mid = l + (r - l) / 2;
        if (predicat(mid)) {
            r = mid;
        } else {
            l = mid;
        }
    }
    return r;
}


template<typename T, typename F>
T FindLastFalse(T l, T r, const F &predicat) {
    return FindFirstTrue(l, r, predicat) - 1;
}

const ll INF = 2e18;
const int INFi = 1e9;
const int N = 2e5 + 5;
const int LG = 20;

ll my_sqrt(ll x) {
    ll t = sqrtl(x);
    while (t * t < x) t++;
    while (t * t > x) t--;
    return t;
}

pair<ll, ll> rot(pair<ll, ll> p) {
    swap(p.first, p.second);
    p.second *= -1;
    return p;
}

void solve() {

    // (s - x)^2 + y^2 = B
    // (s - y)^2 + x^2 = D
    // s^2 + x^2 + y^2 - 2sx = B
    // s^2 + x^2 + y^2 - 2sy = D

    // s^2 + x^2 + y^2 - 2sx = B
    // x - y = (D - B) / (2s)

    ll AO, BO, CO, DO; cin >> AO >> BO >> CO >> DO;

    ll s = my_sqrt(AO);
    ll B = BO;
    ll D = DO;
    ll diff = (D - B) / (2 * s); // (x - y)
    assert(diff * (2 * s) == D - B);

    // x = y + diff
    // s^2 + (y+diff)^2 + y^2 - 2s(y+diff) = B
    // 2y^2 + 2y(diff - s) + (s^2 + diff^2 - 2s * diff) - B = 0

    ll a = 2;
    ll b = 2 * (diff - s);
    ll c = (s - diff) * (s - diff) - B;

    b /= 2;
    ll y = (-b + my_sqrt(b * b - a * c)) / a;
    ll x = y + diff;


    pair<ll, ll> Ap = {0, s};
    pair<ll, ll> Bp = {-y, s - x};
    auto sqr2 = [&] (pair<ll, ll> p) { return p.first * p.first + p.second * p.second; };
    rep(t, 2) {
        pair<ll, ll> Dp = {x, s - y};
        if (t) Dp.first *= -1;
        assert(sqr2(Ap) == AO);
        assert(sqr2(Bp) == BO);
        assert(sqr2(Dp) == DO);
        pair<ll, ll> Cp = {Dp.first + Bp.first - Ap.first, Dp.second + Bp.second - Ap.second};
        if (sqr2(Cp) != CO) continue;
        pair<ll, ll> AB = {Bp.first - Ap.first, Bp.second - Ap.second};
        pair<ll, ll> AD = {Dp.first - Ap.first, Dp.second - Ap.second};
        if (rot(AB) != AD && rot(AD) != AB) continue;
        cout << Ap.second << ' ' << Bp.first << ' ' << Bp.second << ' ' << Cp.first << ' ' << Cp.second << ' ' << Dp.first << ' ' << Dp.second << '\n';
        return;
    }
    assert(0);

}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(12) << fixed;
    int t = 1;
//    cin >> t;
    rep(i, t) {
        solve();
    }
    return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3632kb

input:

36 5 10 41

output:

6 -2 1 3 -1 5 4

result:

ok Answer is correct

Test #2:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

1 1 1 1

output:

1 -1 0 0 -1 1 0

result:

ok Answer is correct

Test #3:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

1000000000000000000 1000000000000000000 1000000000000000000 1000000000000000000

output:

1000000000 -1000000000 0 0 -1000000000 1000000000 0

result:

ok Answer is correct

Test #4:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

4 10 8 2

output:

2 -3 1 -2 -2 1 -1

result:

ok Answer is correct

Test #5:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

4 50 104 58

output:

2 -5 -5 2 -10 7 -3

result:

ok Answer is correct

Test #6:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

9 16 65 58

output:

3 0 -4 7 -4 7 3

result:

ok Answer is correct

Test #7:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

25 13 101 113

output:

5 2 -3 10 -1 8 7

result:

ok Answer is correct

Test #8:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

16 25 58 49

output:

4 -4 -3 3 -7 7 0

result:

ok Answer is correct

Test #9:

score: 0
Accepted
time: 0ms
memory: 3696kb

input:

374544 2235250 4453364 2592658

output:

612 -1205 -885 292 -2090 1497 -593

result:

ok Answer is correct

Test #10:

score: 0
Accepted
time: 0ms
memory: 3612kb

input:

126736 551200 1838608 1414144

output:

356 124 -732 1212 -608 1088 480

result:

ok Answer is correct

Test #11:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

6007401 6936277 5051405 4122529

output:

2451 -2599 426 -574 -2173 2025 -148

result:

ok Answer is correct

Test #12:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

2209 2536706 4875777 2341280

output:

47 -1435 691 -2079 -744 -644 -1388

result:

ok Answer is correct

Test #13:

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

input:

986962771600 2474826790757 5529645464114 4041781444957

output:

993460 -1210079 -1005254 788635 -2215333 1998714 -216619

result:

ok Answer is correct

Test #14:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

722790729241 782340801290 3904082690373 3844532618324

output:

850171 68947 -881809 1800927 -812862 1731980 919118

result:

ok Answer is correct

Test #15:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

3870332944 287487526720 654504136912 370886943136

output:

62212 77528 -530544 670284 -453016 592756 139740

result:

ok Answer is correct

Test #16:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

42230661001 2038831296200 3308981375377 1312380740178

output:

205501 -1201498 771514 -1767511 -429984 -566013 -995997

result:

ok Answer is correct

Test #17:

score: 0
Accepted
time: 0ms
memory: 3640kb

input:

132551656347532249 102473514386838101 439829344402853445 469907486363547593

output:

364076443 -144905351 -285439930 504611022 -430345281 649516373 219171092

result:

ok Answer is correct

Test #18:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

55636209407170681 109515374676898429 329424831462677605 275545666192949857

output:

235873291 -168654810 -284729573 351948054 -453384383 520602864 67218481

result:

ok Answer is correct

Test #19:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

466589422796014144 325095618166198298 43553814262839476 185047618892655322

output:

683073512 -483684563 301902073 -102513124 -181782490 381171439 199388949

result:

ok Answer is correct

Test #20:

score: 0
Accepted
time: 0ms
memory: 3672kb

input:

6909562468993284 229067899424048957 357610810027741258 135452473072685585

output:

83123778 -423763499 222468866 -563108587 -201294633 -139345088 -340639721

result:

ok Answer is correct

Test #21:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

5000019216542596 408275955794662066 885792080806957480 482516144228838010

output:

70710814 -163457821 -617703405 524956398 -781161226 688414219 -92747007

result:

ok Answer is correct

Test #22:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

1736111972222329 40264917317940640 105455671025820505 66926865680102194

output:

41666677 111335636 -166940988 319943301 -55605352 208607665 153002313

result:

ok Answer is correct

Test #23:

score: 0
Accepted
time: 0ms
memory: 3616kb

input:

255964325056888900 56517928013623933 645740568455742866 845186965499007833

output:

505929170 38979522 -234517643 779426335 -195538121 740446813 544908692

result:

ok Answer is correct

Test #24:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

477032252615296225 108870012374411737 333393233802837749 701555474043722237

output:

690675215 -324002404 -62389539 429062350 -386391943 753064754 366672811

result:

ok Answer is correct

Test #25:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

1299556716903225 355747388532580098 692024059544933421 337576227729256548

output:

36049365 -540431757 -252350757 -252031635 -792782514 288400122 -504382392

result:

ok Answer is correct

Test #26:

score: 0
Accepted
time: 0ms
memory: 3564kb

input:

65258206810145881 521153173952727205 930630862422604093 474735895280022769

output:

255456859 -653356447 -307048086 -90851502 -960404533 562504945 -397899588

result:

ok Answer is correct

Test #27:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

8131402216306944 151743259973886485 212869615963839370 69257758206259829

output:

90174288 -304122658 243418711 -457367081 -60703947 -153244423 -213948370

result:

ok Answer is correct

Extra Test:

score: 0
Extra Test Passed