fork download
  1. #include <bits/stdc++.h>
  2. /*
  3.   penguin yes cop code
  4.   https://c...content-available-to-author-only...s.com/profile/Tuanhaiphong2
  5. */
  6. using namespace std;
  7. #define x1 o1
  8. #define x2 o2
  9. #define y1 o3
  10. #define y2 o4
  11. #define ll long long
  12. #define fi first
  13. #define se second
  14. #define MOD 1000000007
  15. const int base = 1000000000; const int base_digits = 9;
  16. struct bigint {
  17. vector<int> a; int sign;
  18.  
  19. bigint() :
  20. sign(1) {
  21. }
  22.  
  23. bigint(long long v) {
  24. *this = v;
  25. }
  26.  
  27. bigint(const string &s) {
  28. read(s);
  29. }
  30.  
  31. void operator=(const bigint &v) {
  32. sign = v.sign;
  33. a = v.a;
  34. }
  35.  
  36. void operator=(long long v) {
  37. sign = 1;
  38. if (v < 0)
  39. sign = -1, v = -v;
  40. for (; v > 0; v = v / base)
  41. a.push_back(v % base);
  42. }
  43.  
  44. bigint operator+(const bigint &v) const {
  45. if (sign == v.sign) {
  46. bigint res = v;
  47.  
  48. for (int i = 0, carry = 0; i < (int) max(a.size(), v.a.size()) || carry; ++i) {
  49. if (i == (int) res.a.size())
  50. res.a.push_back(0);
  51. res.a[i] += carry + (i < (int) a.size() ? a[i] : 0);
  52. carry = res.a[i] >= base;
  53. if (carry)
  54. res.a[i] -= base;
  55. }
  56. return res;
  57. }
  58. return *this - (-v);
  59. }
  60.  
  61. bigint operator-(const bigint &v) const {
  62. if (sign == v.sign) {
  63. if (abs() >= v.abs()) {
  64. bigint res = *this;
  65. for (int i = 0, carry = 0; i < (int) v.a.size() || carry; ++i) {
  66. res.a[i] -= carry + (i < (int) v.a.size() ? v.a[i] : 0);
  67. carry = res.a[i] < 0;
  68. if (carry)
  69. res.a[i] += base;
  70. }
  71. res.trim();
  72. return res;
  73. }
  74. return -(v - *this);
  75. }
  76. return *this + (-v);
  77. }
  78.  
  79. void operator*=(int v) {
  80. if (v < 0)
  81. sign = -sign, v = -v;
  82. for (int i = 0, carry = 0; i < (int) a.size() || carry; ++i) {
  83. if (i == (int) a.size())
  84. a.push_back(0);
  85. long long cur = a[i] * (long long) v + carry;
  86. carry = (int) (cur / base);
  87. a[i] = (int) (cur % base);
  88. //asm("divl %%ecx" : "=a"(carry), "=d"(a[i]) : "A"(cur), "c"(base));
  89. }
  90. trim();
  91. }
  92.  
  93. bigint operator*(int v) const {
  94. bigint res = *this;
  95. res *= v;
  96. return res;
  97. }
  98.  
  99. friend pair<bigint, bigint> divmod(const bigint &a1, const bigint &b1) {
  100. int norm = base / (b1.a.back() + 1);
  101. bigint a = a1.abs() * norm;
  102. bigint b = b1.abs() * norm;
  103. bigint q, r;
  104. q.a.resize(a.a.size());
  105.  
  106. for (int i = a.a.size() - 1; i >= 0; i--) {
  107. r *= base;
  108. r += a.a[i];
  109. int s1 = r.a.size() <= b.a.size() ? 0 : r.a[b.a.size()];
  110. int s2 = r.a.size() <= b.a.size() - 1 ? 0 : r.a[b.a.size() - 1];
  111. int d = ((long long) base * s1 + s2) / b.a.back();
  112. r -= b * d;
  113. while (r < 0)
  114. r += b, --d;
  115. q.a[i] = d;
  116. }
  117.  
  118. q.sign = a1.sign * b1.sign;
  119. r.sign = a1.sign;
  120. q.trim();
  121. r.trim();
  122. return make_pair(q, r / norm);
  123. }
  124.  
  125. bigint operator/(const bigint &v) const {
  126. return divmod(*this, v).first;
  127. }
  128.  
  129. bigint operator%(const bigint &v) const {
  130. return divmod(*this, v).second;
  131. }
  132.  
  133. void operator/=(int v) {
  134. if (v < 0)
  135. sign = -sign, v = -v;
  136. for (int i = (int) a.size() - 1, rem = 0; i >= 0; --i) {
  137. long long cur = a[i] + rem * (long long) base;
  138. a[i] = (int) (cur / v);
  139. rem = (int) (cur % v);
  140. }
  141. trim();
  142. }
  143.  
  144. bigint operator/(int v) const {
  145. bigint res = *this;
  146. res /= v;
  147. return res;
  148. }
  149.  
  150. int operator%(int v) const {
  151. if (v < 0)
  152. v = -v;
  153. int m = 0;
  154. for (int i = a.size() - 1; i >= 0; --i)
  155. m = (a[i] + m * (long long) base) % v;
  156. return m * sign;
  157. }
  158.  
  159. void operator+=(const bigint &v) {
  160. *this = *this + v;
  161. }
  162. void operator-=(const bigint &v) {
  163. *this = *this - v;
  164. }
  165. void operator*=(const bigint &v) {
  166. *this = *this * v;
  167. }
  168. void operator/=(const bigint &v) {
  169. *this = *this / v;
  170. }
  171.  
  172. bool operator<(const bigint &v) const {
  173. if (sign != v.sign)
  174. return sign < v.sign;
  175. if (a.size() != v.a.size())
  176. return a.size() * sign < v.a.size() * v.sign;
  177. for (int i = a.size() - 1; i >= 0; i--)
  178. if (a[i] != v.a[i])
  179. return a[i] * sign < v.a[i] * sign;
  180. return false;
  181. }
  182.  
  183. bool operator>(const bigint &v) const {
  184. return v < *this;
  185. }
  186. bool operator<=(const bigint &v) const {
  187. return !(v < *this);
  188. }
  189. bool operator>=(const bigint &v) const {
  190. return !(*this < v);
  191. }
  192. bool operator==(const bigint &v) const {
  193. return !(*this < v) && !(v < *this);
  194. }
  195. bool operator!=(const bigint &v) const {
  196. return *this < v || v < *this;
  197. }
  198.  
  199. void trim() {
  200. while (!a.empty() && !a.back())
  201. a.pop_back();
  202. if (a.empty())
  203. sign = 1;
  204. }
  205.  
  206. bool isZero() const {
  207. return a.empty() || (a.size() == 1 && !a[0]);
  208. }
  209.  
  210. bigint operator-() const {
  211. bigint res = *this;
  212. res.sign = -sign;
  213. return res;
  214. }
  215.  
  216. bigint abs() const {
  217. bigint res = *this;
  218. res.sign *= res.sign;
  219. return res;
  220. }
  221.  
  222. long long longValue() const {
  223. long long res = 0;
  224. for (int i = a.size() - 1; i >= 0; i--)
  225. res = res * base + a[i];
  226. return res * sign;
  227. }
  228.  
  229. friend bigint gcd(const bigint &a, const bigint &b) {
  230. return b.isZero() ? a : gcd(b, a % b);
  231. }
  232. friend bigint lcm(const bigint &a, const bigint &b) {
  233. return a / gcd(a, b) * b;
  234. }
  235.  
  236. void read(const string &s) {
  237. sign = 1;
  238. a.clear();
  239. int pos = 0;
  240. while (pos < (int) s.size() && (s[pos] == '-' || s[pos] == '+')) {
  241. if (s[pos] == '-')
  242. sign = -sign;
  243. ++pos;
  244. }
  245. for (int i = s.size() - 1; i >= pos; i -= base_digits) {
  246. int x = 0;
  247. for (int j = max(pos, i - base_digits + 1); j <= i; j++)
  248. x = x * 10 + s[j] - '0';
  249. a.push_back(x);
  250. }
  251. trim();
  252. }
  253.  
  254. friend istream& operator>>(istream &stream, bigint &v) {
  255. string s;
  256. stream >> s;
  257. v.read(s);
  258. return stream;
  259. }
  260.  
  261. friend ostream& operator<<(ostream &stream, const bigint &v) {
  262. if (v.sign == -1)
  263. stream << '-';
  264. stream << (v.a.empty() ? 0 : v.a.back());
  265. for (int i = (int) v.a.size() - 2; i >= 0; --i)
  266. stream << setw(base_digits) << setfill('0') << v.a[i];
  267. return stream;
  268. }
  269.  
  270. static vector<int> convert_base(const vector<int> &a, int old_digits, int new_digits) {
  271. vector<long long> p(max(old_digits, new_digits) + 1);
  272. p[0] = 1;
  273. for (int i = 1; i < (int) p.size(); i++)
  274. p[i] = p[i - 1] * 10;
  275. vector<int> res;
  276. long long cur = 0;
  277. int cur_digits = 0;
  278. for (int i = 0; i < (int) a.size(); i++) {
  279. cur += a[i] * p[cur_digits];
  280. cur_digits += old_digits;
  281. while (cur_digits >= new_digits) {
  282. res.push_back(int(cur % p[new_digits]));
  283. cur /= p[new_digits];
  284. cur_digits -= new_digits;
  285. }
  286. }
  287. res.push_back((int) cur);
  288. while (!res.empty() && !res.back())
  289. res.pop_back();
  290. return res;
  291. }
  292.  
  293. typedef vector<long long> vll;
  294.  
  295. static vll karatsubaMultiply(const vll &a, const vll &b) {
  296. int n = a.size();
  297. vll res(n + n);
  298. if (n <= 32) {
  299. for (int i = 0; i < n; i++)
  300. for (int j = 0; j < n; j++)
  301. res[i + j] += a[i] * b[j];
  302. return res;
  303. }
  304.  
  305. int k = n >> 1;
  306. vll a1(a.begin(), a.begin() + k);
  307. vll a2(a.begin() + k, a.end());
  308. vll b1(b.begin(), b.begin() + k);
  309. vll b2(b.begin() + k, b.end());
  310.  
  311. vll a1b1 = karatsubaMultiply(a1, b1);
  312. vll a2b2 = karatsubaMultiply(a2, b2);
  313.  
  314. for (int i = 0; i < k; i++)
  315. a2[i] += a1[i];
  316. for (int i = 0; i < k; i++)
  317. b2[i] += b1[i];
  318.  
  319. vll r = karatsubaMultiply(a2, b2);
  320. for (int i = 0; i < (int) a1b1.size(); i++)
  321. r[i] -= a1b1[i];
  322. for (int i = 0; i < (int) a2b2.size(); i++)
  323. r[i] -= a2b2[i];
  324.  
  325. for (int i = 0; i < (int) r.size(); i++)
  326. res[i + k] += r[i];
  327. for (int i = 0; i < (int) a1b1.size(); i++)
  328. res[i] += a1b1[i];
  329. for (int i = 0; i < (int) a2b2.size(); i++)
  330. res[i + n] += a2b2[i];
  331. return res;
  332. }
  333.  
  334. bigint operator*(const bigint &v) const {
  335. vector<int> a6 = convert_base(this->a, base_digits, 6);
  336. vector<int> b6 = convert_base(v.a, base_digits, 6);
  337. vll a(a6.begin(), a6.end());
  338. vll b(b6.begin(), b6.end());
  339. while (a.size() < b.size())
  340. a.push_back(0);
  341. while (b.size() < a.size())
  342. b.push_back(0);
  343. while (a.size() & (a.size() - 1))
  344. a.push_back(0), b.push_back(0);
  345. vll c = karatsubaMultiply(a, b);
  346. bigint res;
  347. res.sign = sign * v.sign;
  348. for (int i = 0, carry = 0; i < (int) c.size(); i++) {
  349. long long cur = c[i] + carry;
  350. res.a.push_back((int) (cur % 1000000));
  351. carry = (int) (cur / 1000000);
  352. }
  353. res.a = convert_base(res.a, 6, base_digits);
  354. res.trim();
  355. return res;
  356. }
  357. };
  358. //const int MOD = 9+98244353;
  359. const int MAXN = 5e2+7;
  360. const int maxn = 3e6;
  361. vector<ll> topo;
  362. static ll in[1000];
  363. ll dx[8] = {-1,0,0,1,-1,-1,1,1};
  364. ll dy[8] = {0,-1,1,0,-1,1,-1,1};
  365. static ll Hash,k,a[MAXN],p[MAXN],f[MAXN],b[MAXN],dp[MAXN],m,cnt,o1,o2,o3,o4;
  366. //mt19937 rd(chrono::steady_clock::now().time_since_epoch().count());
  367. void qry(int limit,int be,int s,vector<int> &c){
  368. if (limit==s){
  369. for (int i = 1;i <= 50;i++)
  370. p[i] = 0;
  371. ll res = 0x3f3f3f;
  372. for (int i = 0;i < c.size();i++)
  373. p[c[i]]++;
  374. for (int i = 0;i < c.size();i++)
  375. res = min(res,f[c[i]]/p[c[i]]*p[c[i]]);
  376. if (res==0)return ;
  377. c.push_back(0);
  378. for (int i = 0;i < c.size()-1;i++)
  379. if (c[i]!=c[i+1])f[c[i]]-=res;
  380. c.pop_back();
  381. return ;
  382. }
  383. for (int i = min(limit-s,be);i >= 1;i--){
  384. c.push_back(i);
  385. qry(limit,i,s+i,c);
  386. c.pop_back();
  387. }
  388. }
  389. int main()
  390. {
  391. ios_base::sync_with_stdio(false);
  392. cin.tie(0); cout.tie(0);
  393. //freopen("ROBOT.INP","r",stdin);
  394. //freopen("ROBOT.OUT","w",stdout);
  395. static ll tt,x,ans,y,xx,z,yy,j,l,r,lo,rr,i,n,res,index,note;
  396. string ss,stt,sss,str,st;
  397. while(cin >> n){
  398. if (n==0)break;
  399. for (i = 0;i <= 51;i++)
  400. b[i] = f[i] = 0;
  401. for (i = 1;i <= n;i++){
  402. cin >> a[i];
  403. b[a[i]]++;
  404. }
  405. for (i = 1;i <= 50;i++)
  406. {
  407. vector<int> c;
  408. for (j = 1;j <= 50;j++)
  409. f[j] = b[j];
  410. qry(i,i,0,c);
  411. bool ok = true;
  412. for (j = 1;j <= 50;j++)
  413. if (f[j]>0)ok = false;
  414. if (ok){
  415. cout << i << '\n';
  416. break;
  417. }
  418. }
  419. }
  420. return (0^0)&(200+10);
  421. }
  422.  
  423. /*
  424. 3
  425. 2 5 3
  426.  
  427. ඞඞඞඞඞ
  428. 3 3
  429. 3 4 5
  430. 2 3 4
  431. 5 4 3
  432. e.g
  433. build
  434. dp[2][1][1]
  435. min(dp[1][1][1],dp[1][1][2],dp[1][2][1],dp[1][2][2]);
  436. 1 1 1 1
  437. 1 1 1 1
  438. 1 1 1 1
  439. 1 1 1 1
  440. */
Success #stdin #stdout 0.01s 5272KB
stdin
Standard input is empty
stdout
Standard output is empty