def solve(io) n, m, a = io.get(Int32, Int32, Int64) q = Array.new(m) do li, ri, pi = io.get(Int32, Int32, Int64); li -= 1 Q.new(li, ri, pi) end q.sort_by! { |qi| [qi.r, qi.l] } dp = SegmentTree.new([0_i64] + Array.new(n, -a)) { |a, b| Math.max(a, b) } q.each do |qi| li, ri, pi = qi.l, qi.r, qi.p max_u(dp[ri], Math.max(dp[li]+pi-(ri == n ? 0 : a), dp[0...li]+pi-(ri == n ? a : a*2))) end io.put dp[0..n] end record Q, l : Int32, r : Int32, p : Int64 struct Int def cdiv(b : Int) (self + b - 1) // b end {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "0.34.0") < 0 %} def bit_length : Int32 x = self < 0 ? ~self : self if x.is_a?(Int::Primitive) Int32.new(sizeof(self) * 8 - x.leading_zeros_count) else to_s(2).size end end {% end %} end struct Int32 SQRT_MAX = 46_340_i32 def isqrt m = SQRT_MAX r = (1_i32..SQRT_MAX).bsearch { |i| i**2 > self } r.nil? ? SQRT_MAX : r - 1 end end struct Int64 SQRT_MAX = 3_037_000_499_i64 def isqrt r = (1_i64..SQRT_MAX).bsearch { |i| i**2 > self } r.nil? ? SQRT_MAX : r - 1 end end class SegmentTree(T) def initialize(@n : Int32, @init : T = T.zero, &@compose : (T, T) -> T) @an = 1 << (@n-1).bit_length @buf = Array.new(@an*2, @init) propagate_all end def initialize(b : Array(T), @init : T = T.zero, &@compose : (T, T) -> T) @n = b.size @an = 1 << (@n-1).bit_length @buf = Array.new(@an*2, @init) @buf[@an, @n] = b propagate_all end def [](i : Int) @buf[i+@an] end def [](r : Range) sc = Indexable.range_to_index_and_count(r, @n) raise ArgumentError.new("Invalid range") if sc.nil? start, count = sc l, r = start + @an, start + count + @an r1 = r2 = @init while l != r if l.odd? r1 = @compose.call(r1, @buf[l]) l += 1 end if r.odd? r -= 1 r2 = @compose.call(@buf[r], r2) end l >>= 1 r >>= 1 end @compose.call(r1, r2) end def []=(i : Int, v : T) @buf[i+@an] = v propagate(i+@an) end @an : Int32 @buf : Array(T) private def propagate_all (1...@an).reverse_each do |i| @buf[i] = @compose.call(@buf[i << 1], @buf[(i << 1) | 1]) end end private def propagate(i : Int) while (i >>= 1) > 0 @buf[i] = @compose.call(@buf[i << 1], @buf[(i << 1) | 1]) end end end class Array macro new_md(*args, &block) {% if !block %} {% for arg, i in args[0...-2] %} Array.new({{arg}}) { {% end %} Array.new({{args[-2]}}, {{args[-1]}}) {% for arg in args[0...-2] %} } {% end %} {% else %} {% for arg, i in args %} Array.new({{arg}}) { |_i{{i}}| {% end %} {% for block_arg, i in block.args %} {{block_arg}} = _i{{i}} {% end %} {{block.body}} {% for arg in args %} } {% end %} {% end %} end end struct Number {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "0.36.0") < 0 %} def self.additive_identity zero end def self.multiplicative_identity new(1) end {% end %} end class ProconIO def initialize @buf = [] of String @index = 0 end def get(k : T.class = Int32) forall T get_v(k) end macro define_get {% for i in (2..9) %} def get({% for j in (1..i) %}k{{j}}{% if j < i %}, {% end %}{% end %}) { {% for j in (1..i) %}get(k{{j}}){% if j < i %}, {% end %}{% end %} } end def get{{i}}(k : T.class = Int32) forall T get({% for j in (1..i) %}k{% if j < i %}, {% end %}{% end %}) end {% end %} end define_get def get_a(n : Int, k : T.class = Int32) forall T Array.new(n) { get_v(k) } end def get_c(n : Int, k : T.class = Int32) forall T get_a(n, k) end def get_c(n : Int, *ks) a = Array.new(n) { get(*ks) } ks.map_with_index { |_, i| a.map { |e| e[i] } } end macro define_get_c {% for i in (2..9) %} def get{{i}}_c(n : Int, k : T.class = Int32) forall T get_c(n, {% for j in (1..i) %}k{% if j < i %}, {% end %}{% end %}) end {% end %} end define_get_c def get_m(r : Int, c : Int, k : T.class = Int32) forall T Array.new(r) { get_a(c, k) } end def put(*vs) vs.each.with_index do |v, i| put_v(v) print i < vs.size - 1 ? " " : "\n" end end def put_e(*vs) put(*vs) exit end private def get_v(k : Int32.class); get_token.to_i32; end private def get_v(k : Int64.class); get_token.to_i64; end private def get_v(k : String.class); get_token; end private def get_token if @buf.size == @index @buf = read_line.split @index = 0 end v = @buf[@index] @index += 1 v end private def put_v(vs : Enumerable) vs.each_with_index do |v, i| print v print " " if i < vs.size - 1 end end private def put_v(v) print v end end macro min_u(a, b) {{a}} = Math.min({{a}}, {{b}}) end macro max_u(a, b) {{a}} = Math.max({{a}}, {{b}}) end solve(ProconIO.new)