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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#683212 | #9527. A Brand New Geometric Problem | hos_lyric | AC ✓ | 582ms | 7652kb | C++14 | 5.9kb | 2024-10-27 19:30:47 | 2024-10-28 01:33:04 |
Judging History
This is a historical verdict posted at 2024-10-28 01:33:04.
- [2024-11-06 09:23:59]
- hack成功,自动添加数据
- (/hack/1137)
- [2024-11-04 16:55:58]
- hack成功,自动添加数据
- (/hack/1106)
- [2024-10-31 16:14:04]
- hack成功,自动添加数据
- (/hack/1091)
- [2024-10-28 01:30:22]
- hack成功,自动添加数据
- (/hack/1078)
- [2024-10-28 01:11:36]
- hack成功,自动添加数据
- (/hack/1077)
- [2024-10-27 19:30:47]
- Submitted
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
template <class T> T power(T a, long long e, T m) {
for (T b = 1; ; (a *= a) %= m) {
if (e & 1) (b *= a) %= m;
if (!(e >>= 1)) return b;
}
}
long long gcd(long long a, long long b) {
if (a < 0) a = -a;
if (b < 0) b = -b;
if (a == 0) return b;
if (b == 0) return a;
const int s = __builtin_ctzll(a | b);
a >>= __builtin_ctzll(a);
do {
b >>= __builtin_ctzll(b);
if (a > b) swap(a, b);
b -= a;
} while (b);
return a << s;
}
bool isPrime(long long n) {
if (n <= 1 || n % 2 == 0) return (n == 2);
const int s = __builtin_ctzll(n - 1);
const long long d = (n - 1) >> s;
// http://miller-rabin.appspot.com/
for (const long long base : {2, 325, 9375, 28178, 450775, 9780504, 1795265022}) {
__int128 a = base % n;
if (a == 0) continue;
a = power<__int128>(a, d, n);
if (a == 1 || a == n - 1) continue;
bool ok = false;
for (int i = 0; i < s - 1; ++i) {
(a *= a) %= n;
if (a == n - 1) {
ok = true;
break;
}
}
if (!ok) return false;
}
return true;
}
// n >= 3, odd
void factorizeRec(long long n, vector<long long> &ps) {
static constexpr int BLOCK = 256;
if (isPrime(n)) {
ps.push_back(n);
} else {
for (long long c = 2; ; ++c) {
long long x, y = 2, y0, z = 1, d = 1;
for (int l = 1; d == 1; l <<= 1) {
x = y;
for (int i = 0; i < l; ++i) y = (static_cast<__int128>(y) * y + c) % n;
for (int i = 0; i < l; i += BLOCK) {
y0 = y;
for (int j = 0; j < BLOCK && j < l - i; ++j) {
y = (static_cast<__int128>(y) * y + c) % n;
z = (static_cast<__int128>(z) * (y - x)) % n;
}
if ((d = gcd(z, n)) != 1) break;
}
}
if (d == n) {
for (y = y0; ; ) {
y = (static_cast<__int128>(y) * y + c) % n;
if ((d = gcd(y - x, n)) != 1) break;
}
}
if (d != n) {
factorizeRec(d, ps);
factorizeRec(n / d, ps);
return;
}
}
}
}
vector<pair<long long, int>> factorize(long long n) {
vector<pair<long long, int>> pes;
if (n >= 2) {
const int s = __builtin_ctzll(n);
if (s) pes.emplace_back(2, s);
if (n >> s >= 2) {
vector<long long> ps;
factorizeRec(n >> s, ps);
std::sort(ps.begin(), ps.end());
const int psLen = ps.size();
for (int i = 0, j = 0; i < psLen; i = j) {
for (; j < psLen && ps[i] == ps[j]; ++j) {}
pes.emplace_back(ps[i], j - i);
}
}
}
return pes;
}
vector<long long> divisors(long long n) {
const auto pes = factorize(n);
vector<long long> ds{1};
for (const auto &pe : pes) {
const int len0 = ds.size();
const int len1 = len0 * (pe.second + 1);
ds.resize(len1);
for (int i = len0; i < len1; ++i) ds[i] = ds[i - len0] * pe.first;
}
std::sort(ds.begin(), ds.end());
return ds;
}
////////////////////////////////////////////////////////////////////////////////
constexpr Int INF = 1001001001001001001LL;
int N;
Int S, M;
vector<Int> A;
vector<Int> freq;
int DLen;
vector<Int> D;
vector<vector<pair<int, int>>> E;
Int counter;
Int ans;
void dfs(int i, int j, int f, Int sum, Int cost) {
if (i == 0) {
++counter;
// if(M<=10)cerr<<" sum = "<<sum<<", cost = "<<cost<<endl;
if (sum <= S) {
cost -= freq[0];
cost += abs((S - sum) - freq[0]);
chmin(ans, cost);
}
} else {
for (const auto &e : E[i]) if (e.first) {
// divide by e.first
const int ii = e.second;
const int jj = e.first;
if (j < jj) break;
const int ff = ((j == jj) ? f : 0) + 1;
dfs(ii, jj, ff, sum + D[jj], cost + ((ff <= freq[jj]) ? -1 : +1));
}
}
}
int main() {
for (; ~scanf("%d%lld%lld", &N, &S, &M); ) {
A.resize(N);
for (int n = 0; n < N; ++n) {
scanf("%lld", &A[n]);
}
D = divisors(M);
DLen = D.size();
E.assign(DLen, {});
for (int i = 0; i < DLen; ++i) {
for (int j = 0; j < DLen; ++j) {
const int k = lower_bound(D.begin(), D.end(), D[i] * D[j]) - D.begin();
if (k == DLen) break;
if (D[k] == D[i] * D[j]) E[k].emplace_back(i, j);
}
}
cerr<<"M = "<<M<<", |D| = "<<DLen<<endl;
freq.assign(DLen, 0);
for (int n = 0; n < N; ++n) {
const int i = lower_bound(D.begin(), D.end(), A[n]) - D.begin();
if (i < DLen && D[i] == A[n]) {
++freq[i];
}
}
counter = 0;
ans = INF;
dfs(DLen - 1, DLen - 1, 0, 0LL, N);
cerr<<"counter = "<<counter<<endl;
printf("%lld\n", (ans < INF) ? ans : -1);
}
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: 0ms
memory: 4016kb
input:
2 5 6 1 2
output:
2
result:
ok single line: '2'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3784kb
input:
3 6 5 1 2 3
output:
3
result:
ok single line: '3'
Test #3:
score: 0
Accepted
time: 103ms
memory: 5348kb
input:
2 114514 735134400 114 514
output:
20
result:
ok single line: '20'
Test #4:
score: 0
Accepted
time: 0ms
memory: 4060kb
input:
2 4 7 1 3
output:
-1
result:
ok single line: '-1'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
1 1 1 10000000000
output:
2
result:
ok single line: '2'
Test #6:
score: 0
Accepted
time: 565ms
memory: 6860kb
input:
74 8957165874 7351344000 9175800163 691239569 9932962027 8282987306 6063151113 3298305381 1841018684 8994004390 4000639989 9095647386 497768590 9210852932 3224414074 4123284054 8317046204 6543132098 4375640220 481970575 2636681880 7380029168 3311730585 9514203281 7961640038 8857267508 2357551453 179...
output:
1605821949
result:
ok single line: '1605821949'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
12 7840282002 8693528284 6716869047 8912311281 3532498787 9792923097 641489369 2061952840 5276308573 8674900429 3857207130 3435568680 1795487878 1741351693
output:
3493517872
result:
ok single line: '3493517872'
Test #8:
score: 0
Accepted
time: 573ms
memory: 7252kb
input:
3378 6425529388 7351344000 2165587998 2120562002 5252091350 9721880258 1692140896 2719544612 567917797 8634606531 1331901524 6936705303 8505583423 1315696968 2476200194 6191465712 2824480554 4307460133 9171973651 9497302453 1187876818 6468969139 3500352853 4730326578 1298030025 5193458000 1044688955...
output:
2749860766
result:
ok single line: '2749860766'
Test #9:
score: 0
Accepted
time: 1ms
memory: 3824kb
input:
2744 5308645516 9608623822 3851224184 4231440603 3561326330 9716880175 62728600 6493884657 4916910713 6006161964 1698265047 7148416217 2490266505 9843394709 8268913629 3252952468 1311964587 9340371669 8936566694 1039973271 5943892725 8015460363 9097425153 3025376586 2623576720 3757783176 9445752851 ...
output:
504336349
result:
ok single line: '504336349'
Test #10:
score: 0
Accepted
time: 582ms
memory: 7652kb
input:
88346 4782180530 7351344000 3667620194 7503711838 9239451336 4395875618 7173015664 7880070515 6337710353 822637860 225610001 7068873169 874115406 9881064263 6513040923 1739138083 6618265224 6758705336 7842045926 7475245109 8888489353 1020804103 7862164687 1456215420 9644923233 852743592 879560120 82...
output:
1106596876
result:
ok single line: '1106596876'
Test #11:
score: 0
Accepted
time: 0ms
memory: 4080kb
input:
24940 2255231250 7952282922 7824308611 778609102 8235321691 902787647 928287207 6558644508 7104942042 7459678953 2980176017 4961658600 9905890696 5029978542 9521618704 3901512946 4912952894 9420509352 2619542054 8740585806 3640951881 2377272196 6973057099 1372269794 1428086504 3592654341 854391849 8...
output:
929875699
result:
ok single line: '929875699'
Test #12:
score: 0
Accepted
time: 0ms
memory: 4044kb
input:
32 102024678 9708441014 4309108293 86 1 132315932 225777698 3893155157 2 1 1 4854220507 1 1 112888849 9708441014 43 1 3438238935 6803896303 225777698 1 1 332082234 1 1 1 9322240949 1 86 86 5257843768 86 2719257541
output:
-1
result:
ok single line: '-1'
Test #13:
score: 0
Accepted
time: 571ms
memory: 6812kb
input:
74 8957165874 7351344000 99000 95040 1 1 1 8353800 107712 1113840 4086112184 120120 56160 13127400 6984070338 23760 11220 4149178931 97240 1 3131308267 7344 2669167291 1 1 1 1 1 4347657073 15315300 2972501234 79560 7202650525 7837261625 11440 7936967053 11200 235620 8766964991 11440 1 2459605851 1 5...
output:
1605821905
result:
ok single line: '1605821905'
Test #14:
score: 0
Accepted
time: 572ms
memory: 7136kb
input:
3378 6425529388 7351344000 1512 40840800 3525919453 1 1 1 72072000 2691183741 15300 149600 8788596876 2660655926 4800 1 13464 27720 6340347401 9134068166 4500 1 240240 1 8938653050 1 65520 1 171360 10210200 1 10200 3959592729 1 95472 8975677637 26254800 1 138600 5018526731 1 1663200 336600 471240 32...
output:
2749858562
result:
ok single line: '2749858562'
Test #15:
score: 0
Accepted
time: 578ms
memory: 7632kb
input:
88346 4782180530 7351344000 1 4084080 336600 1 1 51000 1 7551145220 1 18018000 707200 78540 79560 7565163529 30630600 35700 1 7100752182 840 3674834085 2079000 720720 49008960 2033275878 1 6323141754 3360 3738287109 2639093537 277200 3020317639 95756755 9567316528 785400 2200 2042040 1 3014514354 50...
output:
1106537444
result:
ok single line: '1106537444'
Test #16:
score: 0
Accepted
time: 0ms
memory: 3704kb
input:
12 7840282002 8693528284 3065419 875834 1 1 1 1 1 6130838 1 1608721 709 9432610420
output:
3493517860
result:
ok single line: '3493517860'
Test #17:
score: 0
Accepted
time: 1ms
memory: 4100kb
input:
2744 5308645516 9608623822 62728600 4916910713 1698265047 40372369 686330273 1311964587 8936566694 17 1 1 238 7869276554 6828450901 119 7204528554 1 238 3077031002 80744738 7663982006 1 3017230010 9719561197 2896495632 354382836 1 4770395400 1 1 282606583 1 1 1 1 282606583 428714251 565213166 17 266...
output:
504334361
result:
ok single line: '504334361'
Test #18:
score: 0
Accepted
time: 2ms
memory: 4080kb
input:
24940 2255231250 7952282922 1 75021537 78887 1 5029978542 1 3976141461 159 3640951881 1 3 53 634 1 3976141461 298182317 1325380487 25086066 16801 1 9102259793 1 9523629136 1325380487 50014358 1 6599612694 6888745078 53 473322 1582390485 1 7179892343 100806 159 1 157774 7308607729 7661170199 74991630...
output:
929858405
result:
ok single line: '929858405'
Test #19:
score: 0
Accepted
time: 72ms
memory: 5128kb
input:
84 8597529626 918918000 1 15300 1 24024 1 26928 1 72 7351519877 1 1 1 23100 146367267 1 1 2898672885 1 589050 1 168300 1 5678365973 20420400 1 1901171356 556920 25740 1 7293000 2098074248 8190 1093446807 204 1 7243301202 5048501007 30888 1 6930 41580 923411734 2772 3443766953 165 7457269781 630 6426...
output:
7678611651
result:
ok single line: '7678611651'
Test #20:
score: 0
Accepted
time: 73ms
memory: 5436kb
input:
4946 8392096768 918918000 1 19500 1 1 462 1 1 1 1089317876 4950 244311183 8365355748 1 1 1 8086673571 3891753630 1 1 277200 1 8805186436 486200 1540 308816488 780 15708 1 5105100 248732566 4313429395 1 2702700 18564 8190 336600 1 22440 8121568960 8489326161 8835750 570326868 1 1 150 7208246886 1 1 5...
output:
7473180361
result:
ok single line: '7473180361'
Test #21:
score: 0
Accepted
time: 80ms
memory: 5732kb
input:
95558 6735809783 918918000 1 4950 3615834619 9168228593 9452281962 4590 5469750 8376770932 1 5037636549 1 1 1540 1 2466184602 400 1 1950 17325 154440 1 340340 1 17850 107100 1 4173300697 298350 1 23100 325819026 3543301285 1 971149619 1 1192494275 1170 685415618 1 8451140191 4352222654 7328238057 1 ...
output:
5816923704
result:
ok single line: '5816923704'
Test #22:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
75 1775613050 7439333297 9128964160 223 4016264282 2299234979 2662647190 1 11 1598364790 1 5974627342 3791 1471887073 11 17 9987487775 1 223 1 39782531 5294154284 1 1 1 5537425145 8958078974 437607841 1 1 5921589413 6141512946 676303027 2627784492 3226842559 1 39782531 5461124902 7623339541 87291381...
output:
1099310037
result:
ok single line: '1099310037'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
1232 7275212896 7774481184 22600236 1 1 1992 242952537 1 6 1 8386319056 1 1 1 1295746864 1 544584 2017758860 8814114653 4817932380 8136143955 672356407 5918157470 4204073582 1 1992 6879426079 1 11708556 3668091448 7533412 1 7845910555 1 22600236 971810148 1 745926388 3887240592 323936716 3631917073 ...
output:
3387972710
result:
ok single line: '3387972710'
Test #24:
score: 0
Accepted
time: 4ms
memory: 3800kb
input:
45624 5618925911 5045813387 2403913 1 1 691510997 1 1 1 8232623498 5045813387 2403913 1 1 1 2403913 441825807 1 3656270650 1 2403913 2099 1 1 5135012544 2403913 2099 1 1 2099 2016622988 743730399 1 1 1 6567161508 1 2403913 5045813387 1 1 1 1 9583887005 7858714512 6592405183 4646502928 5045813387 1 2...
output:
573120109
result:
ok single line: '573120109'
Test #25:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
679 286 6461786670 1 7828015603 29591 145 1 27732990 8078467464 5020724289 1716278 924433 8342562359 9814876143 218370 1 11049 1 1656172807 1122538652 7538225099 1165 6604344851 1 63754 7088692553 67570 111410115 1 5148834 502 8848721766 2510 753 1 16960070 2513289377 9992315163 3063445375 435 1 269...
output:
-1
result:
ok single line: '-1'
Test #26:
score: 0
Accepted
time: 7ms
memory: 4232kb
input:
38 9399057342 101080980 1 36465 6930 1 4636338922 1 9200432985 20790 23562 1 1 1580919505 765765 29172 2748105226 9438 1 1 4451002952 999030403 102102 858 1 3461248492 8805972060 1 1 28314 1 100980 172788 51051 1342119215 2329124781 518364 1 1 1
output:
9297976373
result:
ok single line: '9297976373'
Test #27:
score: 0
Accepted
time: 7ms
memory: 4216kb
input:
1603 9193624484 101080980 328185 417690 726124833 117810 297297 2566605835 1 1386 955334292 1326 962676 7189625666 756 363 6117085251 5444083697 7854 1 1 1 2620407373 8950825965 2720104258 13 6866863890 1 2447684857 476 2167405855 1 1 1 1896241091 1 1 121 4656019942 1989 1 1260 154 8793567341 707174...
output:
9092544004
result:
ok single line: '9092544004'
Test #28:
score: 0
Accepted
time: 15ms
memory: 4416kb
input:
94920 3242370203 101080980 1 1 330 1 9093508780 1 1076800521 9984705890 3388 494568437 7507109677 1169260988 1 70 1 19890 1 2406690 10010 90 2002 1 1 7615168690 4000512259 990990 5610 765 14 7632812362 5418944582 5979159241 38115 841140032 1110780 78 1 6930 3786715382 1 4209002616 459459 16830 37437...
output:
3141321160
result:
ok single line: '3141321160'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3760kb
input:
64 8282173470 3621855807 2758168240 1 3416147106 3621855807 1 1 5756209356 2268570381 3 1 1 1 1 7968075164 4385234975 1 1 1 4162123409 2018972660 3621855807 1 1 1 1 3621855807 1 3 3843848464 6108467544 1 9699708245 1 3621855807 9 1207285269 9531199702 1 1207285269 9 402428423 402428423 1207285269 1 ...
output:
4660317674
result:
ok single line: '4660317674'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3772kb
input:
513 2371707908 5400401407 323 17 8811654968 9085802782 10013 2025596583 589 5840496191 1 174206497 1 608919903 1 1 1 139526579 284231653 1 31 1 1 19 539339 6971648200 31 5400401407 539339 1 9500320877 1 1 5400401407 5400401407 5828480219 284231653 2258595301 539339 5003356937 9182274892 3325523750 1...
output:
2054037389
result:
ok single line: '2054037389'
Test #31:
score: 0
Accepted
time: 4ms
memory: 3764kb
input:
49904 6420453627 5666254455 5 5285303947 1 3 1 1 1 6939737469 1 4676095330 5591908030 5 5144580569 518282749 1 1 7718603279 5268109804 2749488733 5265886093 1 5 377750297 6157446831 3 5666254455 8742922099 1 3626738482 3894290480 1 5 377750297 5665585541 1 8892995365 6735747355 5 1 1 1 1 5 566625445...
output:
754211841
result:
ok single line: '754211841'
Test #32:
score: 0
Accepted
time: 5ms
memory: 3852kb
input:
54586 697 8529497259 4685675008 1 309 3174357 1 2843165753 309 1 309 30819 1 103 9211987715 1 2933227528 10273 3 318601173 4883663348 1058119 82810653 1 1 9040437984 384732208 868545170 5040071081 8095649132 1 1 82810653 8526795160 5293869690 1 1 3596931381 30819 393489706 8529497259 5521778806 3 78...
output:
-1
result:
ok single line: '-1'
Test #33:
score: 0
Accepted
time: 10ms
memory: 4088kb
input:
100000 10000000000 10000000000 9999999992 9999999990 9999999997 9999999993 9999999991 10000000000 9999999994 9999999992 9999999995 9999999996 9999999993 9999999998 9999999998 10000000000 9999999991 9999999994 9999999991 9999999991 9999999999 9999999998 9999999994 9999999995 9999999996 9999999992 999...
output:
99999
result:
ok single line: '99999'
Extra Test:
score: 0
Extra Test Passed