import std.stdio; import std.string; import std.format; import std.conv; import std.typecons; import std.algorithm; import std.functional; import std.bigint; import std.numeric; import std.array; import std.math; import std.range; import std.container; import std.concurrency; import std.traits; import std.uni; import core.bitop : popcnt; alias Generator = std.concurrency.Generator; enum long INF = long.max/5; enum long MOD = 10L^^9+7; void main() { long N, Q; scanln(N, Q); long[] as = readln.split.to!(long[]); auto seg1 = LazySegTree!( long, long, max, "a", "a", -INF, 0, false, )(as); auto seg2 = LazySegTree!( long, long, "a+b", "a", "a", 0, 0, )(0L.repeat(N).array); struct P { long i, l, r; } P[] ps = new P[N]; foreach(i; 0..N) { ps[i].i = i; long q; scanln(q, ps[i].l, ps[i].r); ps[i].l--; } ps.sort!"a.l < b.l"; long[] xs = new long[N]; void f(long l, long r) { long i = seg1.queryIndex(l, r); if (i >= r) return; if (seg2.get(i) == 1) return; seg2.set(i, 1); f(l, i); } f(0, N); foreach(p; ps) { f(p.l, N); xs[p.i] = seg2.query(p.l, p.r); } xs.each!writeln; } // // update(l, r, x) := as[l..r] += x // // query(l, r) := as[l..r].sum // struct P { // long num, x; // } // alias RSQ = LazySegTree!( // P, long, // (a, b) => P(a.num + b.num, a.x + b.x), // "a+b", // (a, b) => P(a.num, a.x + b*a.num), // P(0, 0), // 0 // ); // Lazy Segment Tree // - with 1-based array struct LazySegTree( M, // モノイドの型 X, // 作用素モノイドの型 alias funMM, // (M, M) → M : Mの2項演算 alias funXX, // (X, X) → X : Xの2項演算 alias funMX, // (M, X) → M : Xの元をMの元に作用させる関数 M eM, // Mの単位元 X eX, // Xの単位元 bool structly = true ) if ( is(typeof(binaryFun!funMM(M.init, M.init)) : M) && is(typeof(binaryFun!funXX(X.init, X.init)) : X) && is(typeof(binaryFun!funMX(M.init, X.init)) : M) && binaryFun!funMM(M.init, M.init) == M.init && binaryFun!funXX(X.init, X.init) == X.init && binaryFun!funMX(M.init, X.init) == M.init ) { private: alias _funMM = binaryFun!funMM; alias _funXX = binaryFun!funXX; alias _funMX = binaryFun!funMX; Pair[] _data; X[] _lazy; size_t _height; size_t _size; size_t _l, _r; public: // size: データ数 this(size_t size) { init(size); } // 配列で指定 this(M[] ms) { init(ms.length); build(ms); } // O(N) void init(size_t size){ _height = 0; _size = 1; while(_size < size) { _size <<= 1; _height++; } _data.length = _size<<1; _lazy.length = _size<<1; _data[] = Pair(size_t.max, eM); _lazy[] = eX; _l = 0; _r = size; } // 区間 [a, b) を x ∈ X で作用 // O(logN) void update(size_t a, size_t b, X x) { assert(a <= b); a += _size; b += _size; evaluate(a); evaluate(b - 1); for (size_t l = a, r = b; l < r; l >>= 1, r >>= 1) { if (l&1) { _lazy[l] = _funXX(_lazy[l], x); l++; } if (r&1) { r--; _lazy[r] = _funXX(_lazy[r], x); } } recalc(a); recalc(b - 1); } // 区間[a, b)でのクエリ (valueの取得) // O(logN) M query(size_t a, size_t b) { Pair pair = accumulate(a, b); return pair.value; } // 区間[a, b)でのクエリ (indexの取得) // O(logN) size_t queryIndex(size_t a, size_t b) out(result) { // fun == (a, b) => a+b のようなときはindexを聞くとassertion if (structly) assert(result != size_t.max); } body { Pair pair = accumulate(a, b); return pair.index; } // 区間[a, b)でのクエリ ((index, value)の取得) // O(logN) Pair queryPair(size_t a, size_t b) out(result) { // fun == (a, b) => a+b のようなときはindexを聞くとassertion if (structly) assert(result.index != size_t.max); } body { Pair pair = accumulate(a, b); return pair; } // i番目の要素を取得 // O(logN) M get(size_t i) { i += _size; evaluate(i); return reflect(i).value; } // i番目の要素をmに更新 // O(logN) void set(size_t i, M m) { i += _size; evaluate(i); _data[i].value = m; _lazy[i] = eX; recalc(i); } private: struct Pair { size_t index; M value; } Pair select(Pair nl, Pair nr) { M v = _funMM(nl.value, nr.value); if (nl.value == v) { return nl; } else if (nr.value == v) { return nr; } else { return Pair(size_t.max, v); } } Pair accumulate(size_t a, size_t b) { assert(a <= b); if (b<=_l || _r<=a) return Pair(size_t.max, eM); a += _size; b += _size; evaluate(a); evaluate(b - 1); Pair accL = Pair(size_t.max, eM); Pair accR = Pair(size_t.max, eM); for (size_t l = a, r = b; l < r; l >>= 1, r >>= 1) { if (l&1) accL = select(accL, reflect(l++)); if (r&1) accR = select(reflect(--r), accR); } return select(accL, accR); } Pair reflect(size_t i) { if (_lazy[i] == eX) { return _data[i]; } else { return Pair( _data[i].index, _funMX(_data[i].value, _lazy[i]) ); } } void thrust(size_t i) { if (_lazy[i] == eX) return; _lazy[i<<1|0] = _funXX(_lazy[i<<1|0], _lazy[i]); _lazy[i<<1|1] = _funXX(_lazy[i<<1|1], _lazy[i]); _data[i] = reflect(i); _lazy[i] = eX; } void evaluate(size_t i) { foreach_reverse(k; 0.._height) { thrust(i>>(k+1)); } } void recalc(size_t i) { while(i > 0) { i >>= 1; _data[i] = select(reflect(i<<1|0), reflect(i<<1|1)); } } // O(N) void build(M[] ms) { foreach(i, e; ms) { _data[i+_size] = Pair(i, e); } foreach_reverse(i; 1.._size) { Pair nl = _data[i<<1|0]; Pair nr = _data[i<<1|1]; _data[i] = select(nl, nr); } } } // ---------------------------------------------- void times(alias fun)(long n) { // n.iota.each!(i => fun()); foreach(i; 0..n) fun(); } auto rep(alias fun, T = typeof(fun()))(long n) { // return n.iota.map!(i => fun()).array; T[] res = new T[n]; foreach(ref e; res) e = fun(); return res; } T ceil(T)(T x, T y) if (isIntegral!T || is(T == BigInt)) { // `(x+y-1)/y` will only work for positive numbers ... T t = x / y; if (y > 0 && t * y < x) t++; if (y < 0 && t * y > x) t++; return t; } T floor(T)(T x, T y) if (isIntegral!T || is(T == BigInt)) { T t = x / y; if (y > 0 && t * y > x) t--; if (y < 0 && t * y < x) t--; return t; } ref T ch(alias fun, T, S...)(ref T lhs, S rhs) { return lhs = fun(lhs, rhs); } unittest { long x = 1000; x.ch!min(2000); assert(x == 1000); x.ch!min(3, 2, 1); assert(x == 1); x.ch!max(100).ch!min(1000); // clamp assert(x == 100); x.ch!max(0).ch!min(10); // clamp assert(x == 10); } mixin template Constructor() { import std.traits : FieldNameTuple; this(Args...)(Args args) { // static foreach(i, v; args) { foreach(i, v; args) { mixin("this." ~ FieldNameTuple!(typeof(this))[i]) = v; } } } void scanln(Args...)(auto ref Args args) { enum sep = " "; enum n = Args.length; enum fmt = n.rep!(()=>"%s").join(sep); string line = readln.chomp; static if (__VERSION__ >= 2074) { line.formattedRead!fmt(args); } else { enum argsTemp = n.iota.map!( i => "&args[%d]".format(i) ).join(", "); mixin( "line.formattedRead(fmt, " ~ argsTemp ~ ");" ); } } // fold was added in D 2.071.0 static if (__VERSION__ < 2071) { template fold(fun...) if (fun.length >= 1) { auto fold(R, S...)(R r, S seed) { static if (S.length < 2) { return reduce!fun(seed, r); } else { return reduce!fun(tuple(seed), r); } } } } // popcnt with ulongs was added in D 2.071.0 static if (__VERSION__ < 2071) { ulong popcnt(ulong x) { x = (x & 0x5555555555555555L) + (x>> 1 & 0x5555555555555555L); x = (x & 0x3333333333333333L) + (x>> 2 & 0x3333333333333333L); x = (x & 0x0f0f0f0f0f0f0f0fL) + (x>> 4 & 0x0f0f0f0f0f0f0f0fL); x = (x & 0x00ff00ff00ff00ffL) + (x>> 8 & 0x00ff00ff00ff00ffL); x = (x & 0x0000ffff0000ffffL) + (x>>16 & 0x0000ffff0000ffffL); x = (x & 0x00000000ffffffffL) + (x>>32 & 0x00000000ffffffffL); return x; } }