結果

問題 No.309 シャイな人たち (1)
ユーザー uafr_csuafr_cs
提出日時 2015-12-06 17:25:17
言語 Java21
(openjdk 21)
結果
AC  
実行時間 3,663 ms / 4,000 ms
コード長 4,422 bytes
コンパイル時間 2,261 ms
コンパイル使用メモリ 78,068 KB
実行使用メモリ 48,544 KB
最終ジャッジ日時 2024-09-14 15:58:51
合計ジャッジ時間 29,609 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1,691 ms
45,484 KB
testcase_01 AC 3,046 ms
45,476 KB
testcase_02 AC 483 ms
45,820 KB
testcase_03 AC 2,262 ms
45,316 KB
testcase_04 AC 303 ms
44,720 KB
testcase_05 AC 637 ms
44,916 KB
testcase_06 AC 573 ms
45,888 KB
testcase_07 AC 554 ms
45,504 KB
testcase_08 AC 2,553 ms
45,040 KB
testcase_09 AC 2,502 ms
45,396 KB
testcase_10 AC 3,663 ms
48,544 KB
testcase_11 AC 3,092 ms
45,156 KB
testcase_12 AC 2,261 ms
45,696 KB
testcase_13 AC 125 ms
41,008 KB
testcase_14 AC 126 ms
41,184 KB
testcase_15 AC 227 ms
42,372 KB
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ソースコード

diff # 

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.Scanner;
import java.util.Set;
import java.util.StringTokenizer;

public class Main {
	
	public static final double EPS = 1e-8;
	
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		
		final int R = sc.nextInt();
		final int C = sc.nextInt();
		
		double[][] probs = new double[R][C];
		for(int i = 0; i < R; i++){
			for(int j = 0; j < C; j++){
				probs[i][j] = sc.nextDouble();
			}
		}
		
		int[][] shys = new int[R][C];
		for(int i = 0; i < R; i++){
			for(int j = 0; j < C; j++){
				shys[i][j] = sc.nextInt();
			}
		}
		
		final int DP_SIZE = 1 << C;
		
		double[][] knowns_probs = new double[R][DP_SIZE];
		for(int r = 0; r < R; r++){ Arrays.fill(knowns_probs[r], 1); }
		int[] shy_zero_bits = new int[R];
		int[] shy_one_bits = new int[R];
		for(int r = 0; r < R; r++){
			for(int c = 0; c < C; c++){
				shy_zero_bits[r] |= (((shys[r][c] == 0) ? 1 : 0) << c);
				shy_one_bits[r]  |= (((shys[r][c] == 1) ? 1 : 0) << c);
			}
		}
		
		for(int bit = 0; bit < DP_SIZE; bit++){
			for(int r = 0; r < R; r++){
				for(int i = 0; i < C; i++){
					knowns_probs[r][bit] *= ((bit & (1 << i)) != 0) ? (probs[r][i] / 100.0) : (1 - probs[r][i] / 100.0);
				}
			}
		}
		
		double[][] DP = new double[R + 1][DP_SIZE]; //配るDPする.
		int[][] using_bit = new int[R][DP_SIZE];
		
		boolean[][] reached = new boolean[R + 1][DP_SIZE];
		Arrays.fill(DP[0], 0);
		DP[0][0] = 1.0; reached[0][0] = true;
		
		int[] curr_line = new int[C];
		
		for(int r = 0; r < R; r++){ // O(R) -> 11
			//System.out.println(r);
			for(int curr_known_bit = 0; curr_known_bit < DP_SIZE; curr_known_bit++) {
				for(int prev_raise_bit = 0; prev_raise_bit < DP_SIZE; prev_raise_bit++){
					if(prev_raise_bit != 0 && (curr_known_bit & prev_raise_bit) == 0){ 
						DP[r + 1][using_bit[r][curr_known_bit]] += DP[r][prev_raise_bit] * knowns_probs[r][curr_known_bit];
						continue; 
					}
					if(!reached[r][prev_raise_bit]){ continue; }
					
				
					final int somebody_raise_bit = shy_zero_bits[r] | (shy_one_bits[r] & prev_raise_bit);
					if((curr_known_bit & somebody_raise_bit) == 0){ 
						DP[r + 1][0] += DP[r][prev_raise_bit] * knowns_probs[r][curr_known_bit];
						reached[r + 1][0] |= true;
						continue;
					}
					
					int curr_raise_bit = 0;
					for(int i = 0; i < C; i++){
						curr_line[i] = ((curr_known_bit & (1 << i)) == 0 ? 0 : 4 - shys[r][i]) + ((prev_raise_bit & (1 << i)) != 0 ? 1 : 0);
						if(curr_line[i] >= 4){ curr_raise_bit |= (1 << i); }
					}
					
					//if(can_sat){
						for(int i = 0; i < C - 1; i++){
							if((curr_raise_bit & (1 << i)) != 0 && (curr_raise_bit & (1 << (i + 1))) == 0){
								if(++curr_line[i + 1] >= 4){ curr_raise_bit |= (1 << (i + 1)); }
							}
						}
						for(int i = C - 1; i >= 1; i--){
							if((curr_raise_bit & (1 << i)) != 0 && (curr_raise_bit & (1 << (i - 1))) == 0){
								if(++curr_line[i - 1] >= 4){ curr_raise_bit |= (1 << (i - 1)); }
							}
						}
					//}
					
					DP[r + 1][curr_raise_bit] += DP[r][prev_raise_bit] * knowns_probs[r][curr_known_bit];
					reached[r + 1][curr_raise_bit] |= true;
					if(prev_raise_bit == 0){using_bit[r][curr_known_bit] = curr_raise_bit;}
				}
			}
		}
		
		/*
		for(double[] bits : DP){
			System.out.println(Arrays.toString(bits));
		}
		*/
		
		double answer = 0;
		for(int r = 1; r <= R; r++){
			for(int bit = 0; bit < DP_SIZE; bit++){
				answer += Integer.bitCount(bit) * DP[r][bit];
			}
		}
		System.out.printf("%.11f\n", answer);
	}
	
	public static class Scanner {
		private BufferedReader br;
		private StringTokenizer tok;

		public Scanner(InputStream is) {
			br = new BufferedReader(new InputStreamReader(is));
		}

		private void getLine() {
			try {
				while (!hasNext()) {tok = new StringTokenizer(br.readLine());}
			} catch(IOException e){ /* ignore */ }
		}

		private boolean hasNext() {
			return tok != null && tok.hasMoreTokens();
		}

		public String next() {
			getLine(); return tok.nextToken();
		}

		public int nextInt(){
			return Integer.parseInt(next());
		}
		
		public double nextDouble(){
			return Double.parseDouble(next());
		}

		public void close() {
			try{ br.close(); } catch (IOException e){ /*ignore*/ }
		}
	}
}
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