結果

問題 No.1222 -101
ユーザー uwiuwi
提出日時 2020-09-04 22:39:57
言語 Java21
(openjdk 21)
結果
AC  
実行時間 1,300 ms / 2,000 ms
コード長 11,572 bytes
コンパイル時間 5,331 ms
コンパイル使用メモリ 90,272 KB
実行使用メモリ 69,728 KB
最終ジャッジ日時 2024-11-26 16:00:10
合計ジャッジ時間 27,847 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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 55 ms
37,188 KB
testcase_01 AC 55 ms
37,136 KB
testcase_02 AC 54 ms
37,104 KB
testcase_03 AC 55 ms
36,804 KB
testcase_04 AC 54 ms
37,088 KB
testcase_05 AC 52 ms
37,232 KB
testcase_06 AC 53 ms
36,884 KB
testcase_07 AC 53 ms
37,076 KB
testcase_08 AC 55 ms
36,932 KB
testcase_09 AC 53 ms
37,120 KB
testcase_10 AC 840 ms
51,512 KB
testcase_11 AC 718 ms
51,104 KB
testcase_12 AC 1,004 ms
68,212 KB
testcase_13 AC 1,022 ms
64,732 KB
testcase_14 AC 1,029 ms
65,108 KB
testcase_15 AC 1,001 ms
57,560 KB
testcase_16 AC 1,006 ms
58,332 KB
testcase_17 AC 1,088 ms
63,620 KB
testcase_18 AC 1,038 ms
57,096 KB
testcase_19 AC 962 ms
58,420 KB
testcase_20 AC 1,019 ms
59,280 KB
testcase_21 AC 1,063 ms
59,700 KB
testcase_22 AC 55 ms
36,756 KB
testcase_23 AC 55 ms
36,968 KB
testcase_24 AC 55 ms
37,184 KB
testcase_25 AC 54 ms
37,088 KB
testcase_26 AC 54 ms
37,116 KB
testcase_27 AC 56 ms
37,068 KB
testcase_28 AC 55 ms
36,504 KB
testcase_29 AC 55 ms
37,152 KB
testcase_30 AC 55 ms
37,024 KB
testcase_31 AC 54 ms
36,676 KB
testcase_32 AC 1,260 ms
63,840 KB
testcase_33 AC 1,300 ms
64,384 KB
testcase_34 AC 826 ms
64,964 KB
testcase_35 AC 910 ms
64,860 KB
testcase_36 AC 828 ms
65,268 KB
testcase_37 AC 817 ms
64,308 KB
testcase_38 AC 940 ms
69,728 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 contest200904;
import java.io.ByteArrayInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Comparator;
import java.util.InputMismatchException;
import java.util.List;

public class F2 {
	InputStream is;
	PrintWriter out;
	String INPUT = "";
	
	void solve()
	{
		int n = ni(), m = ni();
		int[][] cons = new int[m][];
		for(int i = 0;i < m;i++){
			cons[i] = new int[]{ni()-1, ni()-1, ni()};
		}
		Arrays.sort(cons, new Comparator<int[]>() {
			public int compare(int[] a, int[] b) {
				return a[1] - b[1];
			}
		});

		
		LST z = new LST(n+1);
		z.setRange(n+1);
		for(int i = 0;i < m;i++){
			if(cons[i][2] != 0){
				for(int j = cons[i][0];j != -1 && j <= cons[i][1];j = z.next(cons[i][0])){
					z.unset(j);
				}
			}
		}
		
		int[] ls = new int[n];
		Arrays.fill(ls, 10);
		for(int i = 0;i < m;i++){
			if(cons[i][2] == 0){
				ls[cons[i][1]] = -cons[i][0];
			}
		}
		SegmentTreeRMQ st = new SegmentTreeRMQ(ls);
		SegmentTreeRSQ sq = new SegmentTreeRSQ(n+1);
		
//		tr(ls);
		long[] dp = new long[n+2];
		int mod = 1000000007;
		long i2 = invl(2, mod);
		dp[0] = 1;
		sq.add(0, (int)(dp[0] * pow(i2, 0, mod) % mod));
		int p = 0;
		for(int i = 1;i <= n+1;i++){
			if(!z.get(i-1))continue;
			int low = -2, high = i-1;
			while(high - low > 1){
				int h = high+low>>1;
//		tr(h, i, -st.minx(h, i-1), h);
				if(-st.minx(Math.max(h, 0), i-1) <= h){
					high = h;
				}else{
					low = h;
				}
			}
//			tr(i, high);
			
			while(p < m && cons[p][1] <= i-1){
				if(cons[p][2] != 0){
					sq.mul(0, cons[p][0]+1, (int)i2);
//					tr(cons[p][0], cons[p][1]+1, i2);
				}
				p++;
			}
			dp[i] = sq.sum(high+1, i) * pow(2, i-1, mod) % mod;
			if(i <= n)sq.add(i, (int)(dp[i] * pow(i2, i, mod) % mod));
		}
//		tr(z);
//		tr(dp);
		
		out.println(dp[n+1]);
	}
	
	public static long invl(long a, long mod) {
		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;
		}
		return p < 0 ? p + mod : p;
	}

	
	public static class SegmentTreeRSQ {
		public int M, H, N;
		public long[] st;
		public long[] muls;
		int mod = 1000000007;
		
		public SegmentTreeRSQ(int n)
		{
			N = n;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			st = new long[M];
			muls = new long[H];
			Arrays.fill(muls, 1);
		}
		
		public SegmentTreeRSQ(int[] a)
		{
			N = a.length;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			st = new long[M];
			muls = new long[H];
			Arrays.fill(muls, 1);
			for(int i = 0;i < N;i++){
				st[H+i] = a[i];
			}
			for(int i = (M>>1)-1;i >= 1;i--){
				propagate(i);
			}
		}
		
		public void add(int pos, int v)
		{
			st[H+pos] += v;
			for(int i = H+pos>>>1;i >= 1;i >>>= 1){
				propagate(i);
			}
		}
		
		private void propagate(int i)
		{
//			int count = H/Integer.highestOneBit(i);
			st[i] = (st[2*i]+st[2*i+1]) * muls[i] % mod;
		}
		
		public void mul(int l, int r, int v) { if(l < r)mul(l, r, v, 0, H, 1); }
		
		private void mul(int l, int r, int v, int cl, int cr, int cur)
		{
			if(cur >= H){
				st[cur] = st[cur] * v % mod;
			}else if(l <= cl && cr <= r){
				muls[cur] = muls[cur] * v % mod;
				propagate(cur);
			}else{
				int mid = cl+cr>>>1;
				if(cl < r && l < mid){
					mul(l, r, v, cl, mid, 2*cur);
				}
				if(mid < r && l < cr){
					mul(l, r, v, mid, cr, 2*cur+1);
				}
				propagate(cur);
			}
		}

		
		public long sum(int l, int r) { 
			return sum(l, r, 0, H, 1);
		}
		
		private long sum(int l, int r, int cl, int cr, int cur)
		{
			if(l <= cl && cr <= r){
				return st[cur];
			}else{
				long val = 0;
				int mid = cl+cr>>>1;
				if(cl < r && l < mid){
					val += sum(l, r, cl, mid, 2*cur);
				}
				if(mid < r && l < cr){
					val += sum(l, r, mid, cr, 2*cur+1);
				}
				return val * muls[cur] % mod;
			}
		}
	}

	
	public static long pow(long a, long n, long mod) {
		//		a %= mod;
		long ret = 1;
		int x = 63 - Long.numberOfLeadingZeros(n);
		for (; x >= 0; x--) {
			ret = ret * ret % mod;
			if (n << 63 - x < 0)
				ret = ret * a % mod;
		}
		return ret;
	}
	public static class SegmentTreeRMQ {
		public int M, H, N;
		public int[] st;
		
		public SegmentTreeRMQ(int n)
		{
			N = n;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			st = new int[M];
			Arrays.fill(st, 0, M, Integer.MAX_VALUE);
		}
		
		public SegmentTreeRMQ(int[] a)
		{
			N = a.length;
			M = Integer.highestOneBit(Math.max(N-1, 1))<<2;
			H = M>>>1;
			st = new int[M];
			for(int i = 0;i < N;i++){
				st[H+i] = a[i];
			}
			Arrays.fill(st, H+N, M, Integer.MAX_VALUE);
			for(int i = H-1;i >= 1;i--)propagate(i);
		}
		
		public void update(int pos, int x)
		{
			st[H+pos] = x;
			for(int i = (H+pos)>>>1;i >= 1;i >>>= 1)propagate(i);
		}
		
		private void propagate(int i)
		{
			st[i] = Math.min(st[2*i], st[2*i+1]);
		}
		
		public int minx(int l, int r){
			int min = Integer.MAX_VALUE;
			if(l >= r)return min;
			while(l != 0){
				int f = l&-l;
				if(l+f > r)break;
				int v = st[(H+l)/f];
				if(v < min)min = v;
				l += f;
			}
			
			while(l < r){
				int f = r&-r;
				int v = st[(H+r)/f-1];
				if(v < min)min = v;
				r -= f;
			}
			return min;
		}
		
		public int min(int l, int r){ return l >= r ? 0 : min(l, r, 0, H, 1);}
		
		private int min(int l, int r, int cl, int cr, int cur)
		{
			if(l <= cl && cr <= r){
				return st[cur];
			}else{
				int mid = cl+cr>>>1;
				int ret = Integer.MAX_VALUE;
				if(cl < r && l < mid){
					ret = Math.min(ret, min(l, r, cl, mid, 2*cur));
				}
				if(mid < r && l < cr){
					ret = Math.min(ret, min(l, r, mid, cr, 2*cur+1));
				}
				return ret;
			}
		}
		
		public int firstle(int l, int v) {
			if(l >= H)return -1;
			int cur = H+l;
			while(true){
				if(st[cur] <= v){
					if(cur >= H)return cur-H;
					cur = 2*cur;
				}else{
					cur++;
					if((cur&cur-1) == 0)return -1;
					if((cur&1)==0)cur>>>=1;
				}
			}
		}
		
		public int lastle(int l, int v) {
			if(l < 0)return -1;
			int cur = H+l;
			while(true){
				if(st[cur] <= v){
					if(cur >= H)return cur-H;
					cur = 2*cur + 1;
				}else{
					if((cur&cur-1) == 0)return -1;
					cur--;
					if((cur&1)==1)cur>>>=1;
				}
			}
		}
	}

	
	public static class LST {
		public long[][] set;
		public int n;
//		public int size;
		
		public LST(int n) {
			this.n = n;
			int d = 1;
			for(int m = n;m > 1;m>>>=6, d++);
			
			set = new long[d][];
			for(int i = 0, m = n>>>6;i < d;i++, m>>>=6){
				set[i] = new long[m+1];
			}
//			size = 0;
		}
		
		// [0,r)
		public LST setRange(int r)
		{
			for(int i = 0;i < set.length;i++, r=r+63>>>6){
				for(int j = 0;j < r>>>6;j++){
					set[i][j] = -1L;
				}
				if((r&63) != 0)set[i][r>>>6] |= (1L<<r)-1;
			}
			return this;
		}
		
		// [0,r)
		public LST unsetRange(int r)
		{
			if(r >= 0){
				for(int i = 0;i < set.length;i++, r=r+63>>>6){
					for(int j = 0;j < r+63>>>6;j++){
						set[i][j] = 0;
					}
					if((r&63) != 0)set[i][r>>>6] &= ~((1L<<r)-1);
				}
			}
			return this;
		}
		
		public LST set(int pos)
		{
			if(pos >= 0 && pos < n){
//				if(!get(pos))size++;
				for(int i = 0;i < set.length;i++, pos>>>=6){
					set[i][pos>>>6] |= 1L<<pos;
				}
			}
			return this;
		}
		
		public LST unset(int pos)
		{
			if(pos >= 0 && pos < n){
//				if(get(pos))size--;
				for(int i = 0;i < set.length && (i == 0 || set[i-1][pos] == 0L);i++, pos>>>=6){
					set[i][pos>>>6] &= ~(1L<<pos);
				}
			}
			return this;
		}
		
		public boolean get(int pos)
		{
			return pos >= 0 && pos < n && set[0][pos>>>6]<<~pos<0;
		}
		
		public LST toggle(int pos)
		{
			return get(pos) ? unset(pos) : set(pos);
		}
		
		public int prev(int pos)
		{
			for(int i = 0;i < set.length && pos >= 0;i++, pos>>>=6, pos--){
				int pre = prev(set[i][pos>>>6], pos&63);
				if(pre != -1){
					pos = pos>>>6<<6|pre;
					while(i > 0)pos = pos<<6|63-Long.numberOfLeadingZeros(set[--i][pos]);
					return pos;
				}
			}
			return -1;
		}
		
		public int next(int pos)
		{
			for(int i = 0;i < set.length && pos>>>6 < set[i].length;i++, pos>>>=6, pos++){
				int nex = next(set[i][pos>>>6], pos&63);
				if(nex != -1){
					pos = pos>>>6<<6|nex;
					while(i > 0)pos = pos<<6|Long.numberOfTrailingZeros(set[--i][pos]);
					return pos;
				}
			}
			return -1;
		}
		
		private static int prev(long set, int n)
		{
			long h = set<<~n;
			if(h == 0L)return -1;
			return -Long.numberOfLeadingZeros(h)+n;
		}
		
		private static int next(long set, int n)
		{
			long h = set>>>n;
			if(h == 0L)return -1;
			return Long.numberOfTrailingZeros(h)+n;
		}
		
		@Override
		public String toString()
		{
			List<Integer> list = new ArrayList<Integer>();
			for(int pos = next(0);pos != -1;pos = next(pos+1)){
				list.add(pos);
			}
			return list.toString();
		}
	}

	
	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 F2().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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