#141095 (Java21) No.473 和と積の和

• 問題: No.473 和と積の和
• ユーザー: tanzaku
• 提出日時: 2016-12-23 23:34:04
• 言語: Java21 (openjdk 21)
• 結果: AC
• 実行時間: 647 ms / 3,000 ms
• コード長: 8,752 bytes
• コンパイル時間: 4,494 ms
• コンパイル使用メモリ: 88,660 KB
• 実行使用メモリ: 413,676 KB
• 最終ジャッジ日時: 2023-08-22 09:09:18
• 合計ジャッジ時間: 19,303 ms
• ジャッジサーバーID （参考情報）: judge13 / judge11

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	251 ms; 409,936 KB
testcase_01	AC	253 ms; 409,816 KB
testcase_02	AC	204 ms; 409,924 KB
testcase_03	AC	381 ms; 413,012 KB
testcase_04	AC	204 ms; 409,900 KB
testcase_05	AC	203 ms; 409,928 KB
testcase_06	AC	205 ms; 409,856 KB
testcase_07	AC	207 ms; 409,932 KB
testcase_08	AC	203 ms; 409,856 KB
testcase_09	AC	205 ms; 410,244 KB
testcase_10	AC	207 ms; 409,848 KB
testcase_11	AC	208 ms; 409,760 KB
testcase_12	AC	208 ms; 409,880 KB
testcase_13	AC	208 ms; 410,176 KB
testcase_14	AC	208 ms; 409,956 KB
testcase_15	AC	207 ms; 409,836 KB
testcase_16	AC	211 ms; 409,884 KB
testcase_17	AC	209 ms; 409,880 KB
testcase_18	AC	208 ms; 409,920 KB
testcase_19	AC	206 ms; 409,896 KB
testcase_20	AC	208 ms; 409,808 KB
testcase_21	AC	205 ms; 410,208 KB
testcase_22	AC	208 ms; 410,260 KB
testcase_23	AC	262 ms; 413,016 KB
testcase_24	AC	286 ms; 412,716 KB
testcase_25	AC	647 ms; 413,676 KB
testcase_26	AC	368 ms; 413,340 KB
testcase_27	AC	408 ms; 413,312 KB
testcase_28	AC	207 ms; 409,828 KB
testcase_29	AC	208 ms; 409,848 KB
testcase_30	AC	208 ms; 410,208 KB
testcase_31	AC	207 ms; 409,988 KB
testcase_32	AC	206 ms; 409,760 KB
testcase_33	AC	208 ms; 409,824 KB
testcase_34	AC	496 ms; 413,364 KB
testcase_35	AC	481 ms; 413,304 KB
testcase_36	AC	245 ms; 413,488 KB
testcase_37	AC	213 ms; 410,252 KB
testcase_38	AC	470 ms; 413,264 KB
testcase_39	AC	389 ms; 413,164 KB
testcase_40	AC	399 ms; 413,108 KB
testcase_41	AC	377 ms; 413,192 KB
testcase_42	AC	211 ms; 410,080 KB
testcase_43	AC	280 ms; 412,632 KB
testcase_44	AC	338 ms; 412,692 KB
testcase_45	AC	209 ms; 409,936 KB
testcase_46	AC	206 ms; 409,832 KB

ソースコード

import java.io.*;
import java.math.*;
import java.util.*;
import java.util.Map.Entry;

import static java.util.Arrays.*;

public class _473 {
	private static final int mod = (int)1e9+7;

	final Random random = new Random(0);
	final IOFast io = new IOFast();

	/// MAIN CODE
	public void run() throws IOException {
//		int TEST_CASE = Integer.parseInt(new String(io.nextLine()).trim());
		int TEST_CASE = 1;
		while(TEST_CASE-- != 0) {
			int n = io.nextInt();
			int X = io.nextInt() + 1;

//			Counter<Integer> t = new Counter<>();
//			t.add(X);
//			dfs(t, n - 1);
//			io.out.println(ans);
			
			for (int i = 2; i*i <= X; i++) {
				if (X % i == 0) {
					divisor.add(i);
					if (i*i != X) divisor.add(X/i);
				}
			}
			divisor.add(X);
			Collections.sort(divisor);
//			Collections.reverse(divisor);
			
			Arrays.fill(memo, -1);
			io.out.println(dfs(0, n - 1, X));
			
//			dfs(n - 1, X);
//			io.out.println(visited.size());
		}
	}
	

	List<Integer> divisor = new ArrayList<>();
	int[] memo = new int[100*1350*1350/2];
	int dfs(int idx, int num, int cur) {
		if (idx >= divisor.size() - 1 || cur == 1) return 0;
		final int d = divisor.get(idx);
		if (cur < d) return 0;
		if (num == 0) return 1;
		int curi = Collections.binarySearch(divisor, cur);
		int key = idx < 1350/2 ? (curi * 100 + num) * 1350/2 + idx : -1;
		if (key != -1 && memo[key] != -1) return memo[key];
		int ans = dfs(idx + 1, num, cur);
		if (cur != d && cur % d == 0) {
			ans += dfs(idx, num - 1, cur / divisor.get(idx));
		}
		if (key != -1) memo[key] = ans;
		return ans;
	}
	
	static class Counter<T extends Comparable<T>> implements Comparable<Counter<T>> {
		final Random random = new Random();
		
		TreeMap<T, Integer> mp = new TreeMap<>();
		Map<T, Long> hashMaps = new HashMap<>();
		long hash;
		int valueCount;
		
		public void add(T key) { update(key, 1); }
		public void add(T key, int cnt) { update(key, cnt); }
		public void remove(T key) { update(key, -1); }
		public void remove(T key, int cnt) { update(key, -cnt); }
		
		public Set<Entry<T, Integer>> entrySet() { return mp.entrySet(); }
		public Set<T> keySet() { return mp.keySet(); }
		public int valueCount() { return valueCount; }
		public long hash() { return hash; }
		
		public Entry<T, Integer> pollLastEntry() {
			Entry<T, Integer> e = mp.pollLastEntry();
			updateHash(e.getKey(), -e.getValue());
			return e;
		}
		
		public Entry<T, Integer> pollFirstEntry() {
			Entry<T, Integer> e = mp.pollFirstEntry();
			updateHash(e.getKey(), -e.getValue());
			return e;
		}
		public void update(T key, int cnt) {
			Integer boxed = mp.get(key);
			int v = boxed == null ? 0 : boxed;
			if (v + cnt < 0) cnt = -v;
			if (cnt == 0) { return; }
			if (v + cnt == 0) { mp.remove(key); }
			else { mp.put(key, v + cnt); }
			updateHash(key, cnt);
		}
		public void updateHash(T key, int cnt) {
			Long h = hashMaps.get(key);
			if (h == null) hashMaps.put(key, h = random.nextLong());
			hash += h * cnt;
			valueCount += cnt;
		}

		@Override
		public int compareTo(Counter<T> arg0) {
			if (mp.size() != arg0.mp.size()) return mp.size() - arg0.mp.size();
			TreeMap<T, Integer> x = new TreeMap<>(mp);
			TreeMap<T, Integer> y = new TreeMap<>(arg0.mp);
			while (true) {
				Entry<T, Integer> vx = x.pollFirstEntry();
				Entry<T, Integer> vy = y.pollFirstEntry();
				if (!vx.getKey().equals(vy.getKey())) return vx.getKey().compareTo(vy.getKey());
				if (!vx.getValue().equals(vy.getValue())) return vx.getValue().compareTo(vy.getValue());
				if (x.isEmpty()) return 0;
			}
		}
		
		@Override
		public String toString() {
			return mp.toString();
		}
	}
	
	/// TEMPLATE
	static int gcd(int n, int r) { return r == 0 ? n : gcd(r, n%r); }
	static long gcd(long n, long r) { return r == 0 ? n : gcd(r, n%r); }
	
	static <T> void swap(T[] x, int i, int j) { T t = x[i]; x[i] = x[j]; x[j] = t; }
	static void swap(int[] x, int i, int j) { int t = x[i]; x[i] = x[j]; x[j] = t; }

	void printArrayLn(int[] xs) { for(int i = 0; i < xs.length; i++) io.out.print(xs[i] + (i==xs.length-1?"\n":" ")); }
	void printArrayLn(long[] xs) { for(int i = 0; i < xs.length; i++) io.out.print(xs[i] + (i==xs.length-1?"\n":" ")); }
	
	static void dump(Object... o) { System.err.println(Arrays.deepToString(o)); } 
	
	void main() throws IOException {
		//		IOFast.setFileIO("rle-size.in", "rle-size.out");
		try { run(); }
		catch (EndOfFileRuntimeException e) { }
		io.out.flush();
	}
	public static void main(String[] args) throws IOException { new _473().main(); }
	
	static class EndOfFileRuntimeException extends RuntimeException {
		private static final long serialVersionUID = -8565341110209207657L; }

	static
	public class IOFast {
		private InputStream in = System.in;
		private PrintWriter out = new PrintWriter(System.out);

		private static int pos, readLen;
		private static final byte[] buffer = new byte[1024 * 8];
		private static char[] str = new char[500*8*2];
		private static boolean[] isDigit = new boolean[256];
		private static boolean[] isSpace = new boolean[256];
		private static boolean[] isLineSep = new boolean[256];

		static { for(int i = 0; i < 10; i++) { isDigit['0' + i] = true; } isDigit['-'] = true; isSpace[' '] = isSpace['\r'] = isSpace['\n'] = isSpace['\t'] = true; isLineSep['\r'] = isLineSep['\n'] = true; }
		public byte read() throws IOException { if(pos >= readLen) { pos = 0; readLen = in.read(buffer); if(readLen <= 0) { throw new EndOfFileRuntimeException(); } } return buffer[pos++]; }
		public int nextInt() throws IOException {
			byte first = (byte)nextChar();
			boolean minus = false;
			int res = 0;
			if (first == '-') {
				minus = true;
			} else {
				res = first - '0';
			}
			while (true) {
				byte b = read();
				if (isSpace[b]) break;
				res = res * 10 + b - '0';
			}
			return minus ? -res : res;
		}
		public long nextLong() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); int i = 0; long ret = 0; if(str[0] == '-') { i = 1; } for(; i < len; i++) ret = ret * 10 + str[i] - '0'; if(str[0] == '-') { ret = -ret; } return ret; }
		public char nextChar() throws IOException { while(true) { final int c = read(); if(!isSpace[c]) { return (char)c; } } }
		int reads(int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } if(str.length == len) { char[] rep = new char[str.length * 3 / 2]; System.arraycopy(str, 0, rep, 0, str.length); str = rep; } str[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; }
		int reads(char[] cs, int len, boolean[] accept) throws IOException { try { while(true) { final int c = read(); if(accept[c]) { break; } cs[len++] = (char)c; } } catch(EndOfFileRuntimeException e) { ; } return len; }
		public char[] nextLine() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isLineSep); try { if(str[len-1] == '\r') { len--; read(); } } catch(EndOfFileRuntimeException e) { ; } return Arrays.copyOf(str, len); }
		public String nextString() throws IOException { return new String(next()); }
		public char[] next() throws IOException { int len = 0; str[len++] = nextChar(); len = reads(len, isSpace); return Arrays.copyOf(str, len); }
//		public int next(char[] cs) throws IOException { int len = 0; cs[len++] = nextChar(); len = reads(cs, len, isSpace); return len; }
//		public double nextDouble() throws IOException { return Double.parseDouble(nextString()); }
		public double nextDouble() throws IOException {
			double res = nextChar() - '0';
			while (true) {
				byte c = read();
				if (isSpace[c]) return res;
				if (c == '.') break;
				res = res * 10 + c - '0';
			}
			double d = 1;
			while (true) {
				byte c = read();
//				dump(c);
				if (!isDigit[c]) break;
				res = res * 10 + c - '0';
				d *= 10;
			}
//			dump(1);
			return res / d;
		}
		public long[] nextLongArray(final int n) throws IOException { final long[] res = new long[n]; for(int i = 0; i < n; i++) { res[i] = nextLong(); } return res; }
		public int[] nextIntArray(final int n) throws IOException { final int[] res = new int[n]; for(int i = 0; i < n; i++) { res[i] = nextInt(); } return res; }
		public int[][] nextIntArray2D(final int n, final int k) throws IOException { final int[][] res = new int[n][]; for(int i = 0; i < n; i++) { res[i] = nextIntArray(k); } return res; }
		public int[][] nextIntArray2DWithIndex(final int n, final int k) throws IOException { final int[][] res = new int[n][k+1]; for(int i = 0; i < n; i++) { for(int j = 0; j < k; j++) { res[i][j] = nextInt(); } res[i][k] = i; } return res; }
		public double[] nextDoubleArray(final int n) throws IOException { final double[] res = new double[n]; for(int i = 0; i < n; i++) { res[i] = nextDouble(); } return res; }
	}
}