結果
問題 | No.764 浮動点 |
ユーザー | te-sh |
提出日時 | 2021-07-12 18:24:36 |
言語 | Crystal (1.11.2) |
結果 |
AC
|
実行時間 | 6 ms / 1,500 ms |
コード長 | 6,333 bytes |
コンパイル時間 | 14,070 ms |
コンパイル使用メモリ | 304,504 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-07-02 03:33:21 |
合計ジャッジ時間 | 15,223 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge3 |
(要ログイン)
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 | 2 ms
5,248 KB |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | AC | 2 ms
5,376 KB |
testcase_03 | AC | 2 ms
5,376 KB |
testcase_04 | AC | 4 ms
5,376 KB |
testcase_05 | AC | 3 ms
5,376 KB |
testcase_06 | AC | 5 ms
5,376 KB |
testcase_07 | AC | 3 ms
5,376 KB |
testcase_08 | AC | 5 ms
5,376 KB |
testcase_09 | AC | 4 ms
5,376 KB |
testcase_10 | AC | 5 ms
5,376 KB |
testcase_11 | AC | 4 ms
5,376 KB |
testcase_12 | AC | 5 ms
5,376 KB |
testcase_13 | AC | 5 ms
5,376 KB |
testcase_14 | AC | 5 ms
5,376 KB |
testcase_15 | AC | 5 ms
5,376 KB |
testcase_16 | AC | 5 ms
5,376 KB |
testcase_17 | AC | 5 ms
5,376 KB |
testcase_18 | AC | 5 ms
5,376 KB |
testcase_19 | AC | 5 ms
5,376 KB |
testcase_20 | AC | 5 ms
5,376 KB |
testcase_21 | AC | 6 ms
5,376 KB |
testcase_22 | AC | 5 ms
5,376 KB |
testcase_23 | AC | 5 ms
5,376 KB |
testcase_24 | AC | 6 ms
5,376 KB |
testcase_25 | AC | 2 ms
5,376 KB |
ソースコード
def solve(io) n = io.get l = io.get_c(n+2, Float64) l0 = l[0] lc = CumulativeSum.new(l) ll = Array.new(n+2, 0.0) ll[1] = l[1] (2..n+1).each do |i| ll[i] = Math.max(ll[i-1], l[i]) end lr = Array.new(n+2, 0.0) lr[n+1] = l[n+1] (1..n).reverse_each do |i| lr[i] = Math.max(lr[i+1], l[i]) end io.put 0 (2...n).each do |i| a = lc[1...i+1] b = (2 * ll[i] - a).clamp(0.0..) c = lc[i+1...] d = (2 * lr[i+1] - c).clamp(0.0..) io.put calc(l0, a, c) - calc(l0, a, d) - calc(l0, b, c) + calc(l0, b, d) end io.put 0 end def integral(a, x) if (a-x).near_zero? a**2 * Math::PI / 2 else x * Math.sqrt(a**2 - x**2) + a**2 * Math.asin(x / a) end end def calc(l0, r1, r2) if r1 + r2 < l0 0.0 elsif r1+l0 < r2 Math::PI * r1**2 elsif r2+l0 < r1 Math::PI * r2**2 else x = (l0**2 + r1**2 - r2**2) / (l0 * 2) integral(r2, x-l0) - integral(r2, -r2) + integral(r1, r1) - integral(r1, x) end end struct Int def cdiv(b : Int) (self + b - 1) // b end def bit?(i : Int) bit(i) == 1 end def set_bit(i : Int) self | (self.class.new(1) << i) end def reset_bit(i : Int) self & ~(self.class.new(1) << i) 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 struct Float64 def near_zero? self.abs < EPSILON end end struct Number {% if compare_versions(env("CRYSTAL_VERSION") || "0.0.0", "1.1.0") < 0 %} def zero? self == 0 end def positive? self > 0 end def negative? self < 0 end {% end %} {% 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 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 class ProconIO def initialize(@ins : IO = STDIN, @outs : IO = STDOUT) @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 {% end %} end define_get macro define_getn {% for i in (2..9) %} 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_getn 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 macro define_get_c {% for i in (2..9) %} def get_c( n : Int, {% for j in (1..i) %} k{{j}}{% if j < i %},{% end %} {% end %} ) a = Array.new(n) do get( {% for j in (1..i) %} k{{j}}{% if j < i %},{% end %} {% end %} ) end { {% for j in (1..i) %} a.map { |e| e[{{j-1}}] }{% if j < i %},{% end %} {% end %} } end {% end %} end define_get_c macro define_getn_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_getn_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) @outs.print i < vs.size - 1 ? " " : "\n" end end def put_e(*vs) put(*vs) exit end def put_f(*vs) put(*vs) @outs.flush 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 : UInt32.class); get_token.to_u32; end private def get_v(k : UInt64.class); get_token.to_u64; end private def get_v(k : Float64.class); get_token.to_f64; end private def get_v(k : String.class); get_token; end private def get_token if @buf.size == @index str = @ins.read_line @buf = str.split @index = 0 end v = @buf[@index] @index += 1 v end private def put_v(vs : Enumerable) vs.each_with_index do |v, i| @outs.print v @outs.print " " if i < vs.size - 1 end end private def put_v(v) @outs.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 macro zip(a, *b, &block) {{a}}.zip({{*b}}) {{block}} end class CumulativeSum(T) def initialize(a : Array(T)) @n = a.size @s = Array.new(@n+1, T.additive_identity) @n.times.each do |i| @s[i+1] = @s[i] + a[i] end end getter n : Int32 def [](start : Int, count : Int) @s[start + count] - @s[start] end def [](r : Range) sc = Indexable.range_to_index_and_count(r, @n) raise ArgumentError.new("Invalid range") if sc.nil? self[*sc] end @s : Array(T) end solve(ProconIO.new)