結果

問題 No.1202 お菓子の食べ方
ユーザー uwiuwi
提出日時 2020-08-28 22:32:37
言語 Java21
(openjdk 21)
結果
AC  
実行時間 526 ms / 2,000 ms
コード長 4,770 bytes
コンパイル時間 4,116 ms
コンパイル使用メモリ 87,976 KB
実行使用メモリ 62,620 KB
最終ジャッジ日時 2024-11-14 01:24:43
合計ジャッジ時間 20,485 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
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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 520 ms
62,544 KB
testcase_01 AC 519 ms
62,320 KB
testcase_02 AC 517 ms
62,504 KB
testcase_03 AC 519 ms
62,316 KB
testcase_04 AC 517 ms
62,620 KB
testcase_05 AC 520 ms
62,512 KB
testcase_06 AC 526 ms
62,528 KB
testcase_07 AC 522 ms
62,580 KB
testcase_08 AC 520 ms
62,564 KB
testcase_09 AC 508 ms
62,384 KB
testcase_10 AC 144 ms
57,972 KB
testcase_11 AC 229 ms
59,188 KB
testcase_12 AC 352 ms
61,344 KB
testcase_13 AC 154 ms
58,508 KB
testcase_14 AC 342 ms
61,320 KB
testcase_15 AC 138 ms
57,696 KB
testcase_16 AC 289 ms
59,236 KB
testcase_17 AC 233 ms
59,164 KB
testcase_18 AC 227 ms
59,220 KB
testcase_19 AC 153 ms
58,468 KB
testcase_20 AC 299 ms
59,008 KB
testcase_21 AC 301 ms
59,252 KB
testcase_22 AC 175 ms
58,560 KB
testcase_23 AC 269 ms
59,152 KB
testcase_24 AC 269 ms
59,320 KB
testcase_25 AC 155 ms
58,508 KB
testcase_26 AC 315 ms
59,064 KB
testcase_27 AC 288 ms
59,268 KB
testcase_28 AC 206 ms
59,324 KB
testcase_29 AC 236 ms
58,872 KB
testcase_30 AC 101 ms
57,276 KB
testcase_31 AC 101 ms
57,300 KB
testcase_32 AC 101 ms
57,296 KB
testcase_33 AC 101 ms
57,336 KB
testcase_34 AC 101 ms
57,200 KB
testcase_35 AC 101 ms
57,276 KB
testcase_36 AC 101 ms
57,332 KB
testcase_37 AC 101 ms
57,112 KB
testcase_38 AC 102 ms
57,120 KB
testcase_39 AC 102 ms
57,320 KB
testcase_40 AC 514 ms
62,476 KB
testcase_41 AC 510 ms
62,408 KB
testcase_42 AC 520 ms
62,468 KB
testcase_43 AC 522 ms
62,436 KB
testcase_44 AC 520 ms
62,568 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

package contest200828;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.InputMismatchException;

public class E2 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni(), m = ni();
		int[][] a = new int[n][];
		for(int i = 0;i < n;i++){
			a[i] = na(m);
		}
		int mod = 1000000007;
		int[][] fif = enumFIF(1003005, mod);
		long ans = 0;
		for(int i = 0;i < n;i++){
			for(int j = 0;j < m;j++){
				int v = a[i][j];
				ans += C(i+j+v-1, i, mod, fif) * C(j+v-1, j, mod, fif);
				ans %= mod;
			}
		}
		for(int k = 1;k <= m;k++){
			long s = 0;
			for(int i = 0;i < n;i++){
				int inf = (k == m ? 0 : a[i][k]);
				long t = C(i+k-1+a[i][k-1], a[i][k-1]-1, mod, fif) - 
						C(i+k-1+inf, inf-1, mod, fif);
				t *= C(i+k-1, k-1, mod, fif);
				t %= mod;
				if(t < 0)t += mod;
				s += t;
			}
			ans += s;
			ans %= mod;
		}
		for(int k = 1;k <= n;k++){
			long s = 0;
			for(int i = 0;i < m;i++){
				int inf = (k == n ? 0 : a[k][i]);
				long t = C(i+k-1+a[k-1][i], a[k-1][i]-1, mod, fif) - 
						C(i+k-1+inf, inf-1, mod, fif);
				t *= C(i+k-1, k-1, mod, fif);
				t %= mod;
				if(t < 0)t += mod;
				s += t;
			}
			ans += s;
			ans %= mod;
		}
		out.println(ans);
	}
	
	public static long C(int n, int r, int mod, int[][] fif) {
		if (n < 0 || r < 0 || r > n)
			return 0;
		return (long) fif[0][n] * fif[1][r] % mod * fif[1][n - r] % mod;
	}

	
	public static int[][] enumFIF(int n, int mod) {
		int[] f = new int[n + 1];
		int[] invf = new int[n + 1];
		f[0] = 1;
		for (int i = 1; i <= n; i++) {
			f[i] = (int) ((long) f[i - 1] * i % mod);
		}
		long a = f[n];
		long b = mod;
		long p = 1, q = 0;
		while (b > 0) {
			long c = a / b;
			long d;
			d = a;
			a = b;
			b = d % b;
			d = p;
			p = q;
			q = d - c * q;
		}
		invf[n] = (int) (p < 0 ? p + mod : p);
		for (int i = n - 1; i >= 0; i--) {
			invf[i] = (int) ((long) invf[i + 1] * (i + 1) % mod);
		}
		return new int[][] { f, invf };
	}

	
	void run() throws Exception
	{
		is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes());
		out = new PrintWriter(System.out);
		
		long s = System.currentTimeMillis();
		solve();
		out.flush();
		if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//		Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){
//			@Override
//			public void run() {
//				long s = System.currentTimeMillis();
//				solve();
//				out.flush();
//				if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms");
//			}
//		};
//		t.start();
//		t.join();
	}
	
	public static void main(String[] args) throws Exception { new E2().run(); }
	
	private byte[] inbuf = new byte[1024];
	public int lenbuf = 0, ptrbuf = 0;
	
	private int readByte()
	{
		if(lenbuf == -1)throw new InputMismatchException();
		if(ptrbuf >= lenbuf){
			ptrbuf = 0;
			try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); }
			if(lenbuf <= 0)return -1;
		}
		return inbuf[ptrbuf++];
	}
	
	private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); }
	private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; }
	
	private double nd() { return Double.parseDouble(ns()); }
	private char nc() { return (char)skip(); }
	
	private String ns()
	{
		int b = skip();
		StringBuilder sb = new StringBuilder();
		while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ')
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	
	private char[] ns(int n)
	{
		char[] buf = new char[n];
		int b = skip(), p = 0;
		while(p < n && !(isSpaceChar(b))){
			buf[p++] = (char)b;
			b = readByte();
		}
		return n == p ? buf : Arrays.copyOf(buf, p);
	}
	
	private int[] na(int n)
	{
		int[] a = new int[n];
		for(int i = 0;i < n;i++)a[i] = ni();
		return a;
	}
	
	private long[] nal(int n)
	{
		long[] a = new long[n];
		for(int i = 0;i < n;i++)a[i] = nl();
		return a;
	}
	
	private char[][] nm(int n, int m) {
		char[][] map = new char[n][];
		for(int i = 0;i < n;i++)map[i] = ns(m);
		return map;
	}
	
	private int[][] nmi(int n, int m) {
		int[][] map = new int[n][];
		for(int i = 0;i < n;i++)map[i] = na(m);
		return map;
	}
	
	private int ni() { return (int)nl(); }
	
	private long nl()
	{
		long num = 0;
		int b;
		boolean minus = false;
		while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-'));
		if(b == '-'){
			minus = true;
			b = readByte();
		}
		
		while(true){
			if(b >= '0' && b <= '9'){
				num = num * 10 + (b - '0');
			}else{
				return minus ? -num : num;
			}
			b = readByte();
		}
	}
	
	private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); }
}
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