// URL: https://yukicoder.me/problems/no/199 import std.algorithm, std.array, std.bitmanip, std.container, std.conv, std.format, std.functional, std.math, std.range, std.traits, std.typecons, std.stdio, std.string; version(unittest) {} else void main() { Point[] p; io.getS!("x", "y")(5, p); io.putB(p.convexHull.length == 5, "YES", "NO"); } alias Point = Point2!int; struct Point2(T) { T x, y; pure nothrow @nogc @safe { Point2!T opBinary(string op)(const Point2!T r) const if (op == "+" || op == "-") { return mixin("Point2(x"~op~"r.x, y"~op~"r.y)"); } Point2!T opOpAssign(string op)(const Point2!T r) if (op == "+" || op == "-") { mixin("x"~op~"=r.x; y"~op~"=r.y;"); return this; } Point2!T opBinary(string op, U)(U a) const if ((op == "*" || op == "/") && isIntegral!U) { return mixin("Point2(x"~op~"a, y"~op~"a)"); } Point2!T opOpAssign(string op, U)(U a) if ((op == "*" || op == "/") && isIntegral!U) { mixin("x"~op~"=a; y"~op~"=a;"); return this; } T opBinary(string op: "*")(const Point2!T r) const { return x*r.x+y*r.y; } T hypot2() const { return x^^2+y^^2; } } } pure nothrow @nogc @safe { T distManhattan(T)(const Point2!T p1, const Point2!T p2) { return (p1.x-p2.x).abs + (p1.y-p2.y).abs; } T cross(T)(const Point2!T p1, const Point2!T p2) { return p1.x*p2.y - p1.y*p2.x; } } struct Point3(T) { T x, y, z; pure nothrow @nogc @safe { Point3!T opBinary(string op)(const Point3!T r) const if (op == "+" || op == "-") { return mixin("Point3!T(x"~op~"r.x, y"~op~"r.y, z"~op~"r.z)"); } Point3!T opOpAssign(string op)(const Point3!T r) if (op == "+" || op == "-") { mixin("x"~op~"=r.x; y"~op~"=r.y; z"~op~"=r.z;"); return this; } Point3!T opBinary(string op, U)(U a) const if ((op == "*" || op == "/") && isIntegral!U) { return mixin("Point3!T(x"~op~"a, y"~op~"a, z"~op~"a)"); } Point3!T opOpAssign(string op, U)(U a) if ((op == "*" || op == "/") && isIntegral!U) { mixin("x"~op~"=a; y"~op~"=a; z"~op~"=a;"); return this; } T opBinary(string o: "*")(const Point3!T r) const { return x*r.x+y*r.y+z*r.z; } T hypot2() const { return x^^2+y^^2+z^^2; } } } pure nothrow @nogc @safe { Point3!T cross(T)(const Point3!T p1, const Point3!T p2) { return Point3!T(p1.y*p2.z - p1.z*p2.y, p1.z*p2.x - p1.x*p2.z, p1.x*p2.y - p1.y*p2.x); } } pure nothrow @safe { Point2!T[] convexHull(T)(Point2!T[] p) { p.multiSort!("a.x < b.x", "a.y < b.y"); Point2!T[] lower; foreach (pi; p) { while (lower.length >= 2 && cross(lower[$-2]-pi, lower[$-1]-pi) <= 0) lower.length -= 1; lower ~= pi; } Point2!T[] upper; foreach_reverse (pi; p) { while (upper.length >= 2 && cross(upper[$-2]-pi, upper[$-1]-pi) <= 0) upper.length -= 1; upper ~= pi; } return (lower.dropBackOne ~ upper.dropBackOne).array; } T convexHullDiameter2(T)(Point2!T[] p) { auto n = p.length; size_t ps, pt; foreach (i; 1..n) { if (p[i].y > p[ps].y) ps = i; if (p[i].y < p[pt].y) pt = i; } auto maxD = (p[ps]-p[pt]).hypot2; auto i = ps, j = pt; do { auto ni = (i+1) % n, nj = (j+1) % n; if (cross(p[ni]-p[i], p[nj]-p[j]) < 0) i = ni; else j = nj; maxD = max(maxD, (p[i]-p[j]).hypot2); } while (i != ps || j != pt); return maxD; } } auto io = IO!()(); import std.stdio; struct IO(alias IN = stdin, alias OUT = stdout) { import std.meta : allSatisfy; import core.stdc.stdlib : exit; void getV(T...)(ref T v) { foreach (ref w; v) get(w); } void getA(T)(size_t n, ref T v) if (hasAssignableElements!T) { v = new T(n); foreach (ref w; v) get(w); } void getC(T...)(size_t n, ref T v) if (allSatisfy!(hasAssignableElements, T)) { foreach (ref w; v) w = new typeof(w)(n); foreach (i; 0..n) foreach (ref w; v) get(w[i]); } void getM(T)(size_t r, size_t c, ref T v) if (hasAssignableElements!T && hasAssignableElements!(ElementType!T)) { v = new T(r); foreach (ref w; v) getA(c, w); } template getS(E...) { void getS(T)(size_t n, ref T v) { v = new T(n); foreach (ref w; v) foreach (e; E) mixin("get(w."~e~");"); } } const struct PutConf { bool newline = true, flush, exit; string floatFormat = "%.10f", delimiter = " "; } void put(alias conf = "{}", T...)(T v) { mixin("const PutConf c = "~conf~"; putMain!c(v);"); } void putB(alias conf = "{}", S, T)(bool c, S t, T f) { if (c) put!conf(t); else put!conf(f); } void putRaw(T...)(T v) { OUT.write(v); OUT.writeln; } private { dchar[] buf; auto sp = (new dchar[](0)).splitter; void nextLine() { IN.readln(buf); sp = buf.splitter; } void get(T)(ref T v) { if (sp.empty) nextLine(); v = sp.front.to!T; sp.popFront(); } void putMain(PutConf c, T...)(T v) { foreach (i, w; v) { putOne!c(w); if (i+1 < v.length) OUT.write(c.delimiter); } static if (c.newline) OUT.writeln; static if (c.flush) OUT.flush(); static if (c.exit) exit(0); } void putOne(PutConf c, T)(T v) { static if (isInputRange!T && !isSomeString!T) putRange!c(v); else static if (isFloatingPoint!T) OUT.write(format(c.floatFormat, v)); else static if (hasMember!(T, "fprint")) v.fprint(OUT); else OUT.write(v); } void putRange(PutConf c, T)(T v) { auto w = v; while (!w.empty) { putOne!c(w.front); w.popFront(); if (!w.empty) OUT.write(c.delimiter); } } } }