結果

問題 No.510 二次漸化式
ユーザー uwiuwi
提出日時 2017-04-28 22:34:57
言語 Java21
(openjdk 21)
結果
AC  
実行時間 617 ms / 3,000 ms
コード長 6,286 bytes
コンパイル時間 4,751 ms
コンパイル使用メモリ 77,996 KB
実行使用メモリ 91,600 KB
最終ジャッジ日時 2023-10-11 19:16:33
合計ジャッジ時間 21,466 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge13
このコードへのチャレンジ（β）

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 43 ms
49,440 KB
testcase_01 AC 43 ms
49,528 KB
testcase_02 AC 241 ms
55,760 KB
testcase_03 AC 237 ms
55,504 KB
testcase_04 AC 240 ms
55,384 KB
testcase_05 AC 243 ms
55,536 KB
testcase_06 AC 282 ms
57,740 KB
testcase_07 AC 291 ms
57,768 KB
testcase_08 AC 281 ms
57,920 KB
testcase_09 AC 300 ms
57,992 KB
testcase_10 AC 168 ms
52,828 KB
testcase_11 AC 170 ms
52,724 KB
testcase_12 AC 167 ms
52,824 KB
testcase_13 AC 168 ms
53,020 KB
testcase_14 AC 168 ms
52,812 KB
testcase_15 AC 172 ms
53,364 KB
testcase_16 AC 474 ms
87,276 KB
testcase_17 AC 499 ms
87,232 KB
testcase_18 AC 497 ms
87,044 KB
testcase_19 AC 506 ms
87,188 KB
testcase_20 AC 501 ms
87,236 KB
testcase_21 AC 503 ms
87,392 KB
testcase_22 AC 499 ms
86,976 KB
testcase_23 AC 614 ms
89,616 KB
testcase_24 AC 616 ms
89,868 KB
testcase_25 AC 617 ms
89,600 KB
testcase_26 AC 615 ms
89,496 KB
testcase_27 AC 607 ms
89,756 KB
testcase_28 AC 606 ms
89,584 KB
testcase_29 AC 590 ms
89,524 KB
testcase_30 AC 601 ms
89,744 KB
testcase_31 AC 542 ms
85,884 KB
testcase_32 AC 530 ms
85,856 KB
testcase_33 AC 539 ms
85,884 KB
testcase_34 AC 466 ms
91,576 KB
testcase_35 AC 427 ms
91,600 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 contest170428;
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 C {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni();
		SegmentTreeMatrix st = new SegmentTreeMatrix(n+1);
		int[] xs = new int[n];
		int[] ys = new int[n];
		for(int Q = ni();Q > 0;Q--){
			char c = nc();
			if(c == 'x'){
				int id = ni(), v = ni();
				xs[id] = v;
				st.update(id, xs[id], ys[id]);
			}else if(c == 'y'){
				int id = ni(), v = ni();
				ys[id] = v;
				st.update(id, xs[id], ys[id]);
			}else{
				int id = ni();
				int[] v = {1, 1, 1, 1};
				out.println(st.apply(0, id, v)[0]);
			}
		}
	}
	
	public static class SegmentTreeMatrix {
		public int M, H, N;
		public int[][][] node;
		public static int mod = 1000000007;
		public static long BIG = 8L*mod*mod;
		public static int S = 4;
		
		public SegmentTreeMatrix(int n)
		{
			N = n;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			
			node = new int[M][][];
			for(int i = 0;i < N;i++){
				node[H+i] = new int[S][S];
				// a b^2 b 1
				node[H+i][0][0] = 1;
				node[H+i][1][3] = 1;
				node[H+i][2][3] = 1;
				node[H+i][3][3] = 1;
			}
			
			for(int i = H-1;i >= 1;i--)propagate(i);
		}
		
		private void propagate(int cur)
		{
			node[cur] = prop2(node[2*cur], node[2*cur+1], node[cur]);
		}
		
		private int[][] prop2(int[][] L, int[][] R, int[][] C)
		{
			if(L != null && R != null){
				C = mul(R, L, C, mod);
				return C;
			}else if(L != null){
				return prop1(L, C);
			}else if(R != null){
				return prop1(R, C);
			}else{
				return null;
			}
		}
		
		private int[][] prop1(int[][] L, int[][] C)
		{
			if(C == null){
//				C = L; // read only
				C = new int[S][];
				for(int i = 0;i < S;i++){
					C[i] = Arrays.copyOf(L[i], S);
				}
			}else{
				for(int i = 0;i < S;i++){
					C[i] = Arrays.copyOf(L[i], S);
				}
			}
			return C;
		}
		
		public void update(int pos, int x, int y) {
			// a b^2 b 1
			// 1 x 0 0
			// 0 y^2 2y 1
			// 0 0 y 1
			// 0 0 0 1
			node[H+pos][0][1] = x;
			node[H+pos][1][1] = (int)((long)y*y%mod);
			node[H+pos][1][2] = 2*y;
			node[H+pos][2][2] = y;
			
			for(int i = H+pos>>>1;i >= 1;i>>>=1)propagate(i);
		}
		
		public int[] apply(int l, int r, int[] v){
			return apply(l, r, 0, H, 1, v);
		}
		
		protected int[] apply(int l, int r, int cl, int cr, int cur, int[] v)
		{
			if(l <= cl && cr <= r){
				return mul(node[cur], v, mod);
			}else{
				int mid = cl+cr>>>1;
				if(cl < r && l < mid){
					v = apply(l, r, cl, mid, 2*cur, v);
				}
				if(mid < r && l < cr){
					v = apply(l, r, mid, cr, 2*cur+1, v);
				}
				return v;
			}
		}
		
		
		public static int[] mul(int[][] A, int[] v, int mod)
		{
			int m = A.length;
			int n = v.length;
			int[] w = new int[m];
			for(int i = 0;i < m;i++){
				long sum = 0;
				for(int k = 0;k < n;k++){
					sum += (long)A[i][k] * v[k];
					if(sum >= BIG)sum -= BIG;
				}
				w[i] = (int)(sum % mod);
			}
			return w;
		}
		
		public static int[][] mul(int[][] A, int[][] B, int[][] C, int mod)
		{
			assert A[0].length == B.length;
			int m = A.length;
			int n = A[0].length;
			int o = B[0].length;
			if(C == null)C = new int[m][o];
			for(int i = 0;i < m;i++){
				for(int j = 0;j < o;j++){
					long sum = 0;
					for(int k = 0;k < n;k++){
						sum += (long)A[i][k] * B[k][j];
						if(sum >= BIG)sum -= BIG;
					}
					sum %= mod;
					C[i][j] = (int)sum;
				}
			}
			return C;
		}
	}	

	
	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 C().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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