From 3791498f3a4de04bc87ee7736f9c396705e4813a Mon Sep 17 00:00:00 2001 From: TooYoungTooSimp <6648049+TooYoungTooSimp@users.noreply.github.com> Date: Fri, 10 Mar 2017 10:29:23 +0800 Subject: [PATCH] Section 8.1 8.2 --- OnlineJudges/hdu/1007.cpp | 60 +++++++++++++++++++++++++++++++ OnlineJudges/lydsy/lydsy.cpp | 1 - OnlineJudges/poj/poj.vcxproj | 2 +- 省选准备/assets/day8/hdu1007.cpp | 60 +++++++++++++++++++++++++++++++ 省选准备/assets/day8/poj2299.cpp | 28 +++++++++++++++ 省选准备/省选基础算法.pdf | Bin 970346 -> 979774 bytes 省选准备/省选基础算法.tex | 31 ++++++++++++---- 7 files changed, 173 insertions(+), 9 deletions(-) create mode 100644 OnlineJudges/hdu/1007.cpp create mode 100644 省选准备/assets/day8/hdu1007.cpp create mode 100644 省选准备/assets/day8/poj2299.cpp diff --git a/OnlineJudges/hdu/1007.cpp b/OnlineJudges/hdu/1007.cpp new file mode 100644 index 0000000..7b695ba --- /dev/null +++ b/OnlineJudges/hdu/1007.cpp @@ -0,0 +1,60 @@ +#include +#include +#include +#include +template +inline T min(T a, T b) { return a < b ? a : b; } +const int N = int(1e5 + 3); +struct Point +{ + double x, y; +} p[N]; +double len(const Point &P) { return sqrt(P.x * P.x + P.y * P.y); } +inline bool operator<(const Point &l, const Point &r) { return l.x < r.x; } +inline Point operator-(const Point &l, const Point &r) +{ + Point ret; + ret.x = l.x - r.x; + ret.y = l.y - r.y; + return ret; +} +double solve(int l, int r) +{ + if (l == r - 1) return 1e20; + int m = (l + r) >> 1; + double ans = min(solve(l, m), solve(m, r)); + double x0 = (p[m - 1].x + p[m].x) / 2; + static Point a[N], b[N], c[N]; + int bn = 0, cn = 0; + for (int i = l, li = l, ri = m; i < r; i++) + if (li < m && (ri == r || p[li].y < p[ri].y)) + { + a[i] = p[li++]; + if (x0 - a[i].x < ans) b[bn++] = a[i]; + } + else + { + a[i] = p[ri++]; + if (a[i].x - x0 < ans) c[cn++] = a[i]; + } + memcpy(p + l, a + l, (r - l) << 4); + for (int i = 0, j = 0, k; i < bn || j < cn;) + if (i < bn && (j == cn || b[i].y < c[j].y)) + for (k = j - 1; (k >= 0 && b[i].y - ans < c[k].y) || i++ > INT_MAX; k--) + ans = min(ans, len(c[k] - b[i])); + else + for (k = i - 1; (k >= 0 && c[j].y - ans < b[k].y) || j++ > INT_MAX; k--) + ans = min(ans, len(b[k] - c[j])); + return ans; +} +int main() +{ + int n; + while (scanf("%d", &n), n) + { + for (int i = 0; i < n; i++) scanf("%lf%lf", &p[i].x, &p[i].y); + std::sort(p, p + n); + printf("%.2f\n", solve(0, n) / 2); + } + return 0; +} \ No newline at end of file diff --git a/OnlineJudges/lydsy/lydsy.cpp b/OnlineJudges/lydsy/lydsy.cpp index 05a37e9..e69de29 100644 --- a/OnlineJudges/lydsy/lydsy.cpp +++ b/OnlineJudges/lydsy/lydsy.cpp @@ -1 +0,0 @@ -void main() {} \ No newline at end of file diff --git a/OnlineJudges/poj/poj.vcxproj b/OnlineJudges/poj/poj.vcxproj index f7cb952..ec46662 100644 --- a/OnlineJudges/poj/poj.vcxproj +++ b/OnlineJudges/poj/poj.vcxproj @@ -14,7 +14,7 @@ - {78516A4A-2F9B-4E2F-B96C-62FCB1B1DAB0} + {80BFF5FD-B770-408C-902E-20575649DD82} Win32Proj 10.0.14393.0 diff --git a/省选准备/assets/day8/hdu1007.cpp b/省选准备/assets/day8/hdu1007.cpp new file mode 100644 index 0000000..d3d6fa6 --- /dev/null +++ b/省选准备/assets/day8/hdu1007.cpp @@ -0,0 +1,60 @@ +#include +#include +#include +#include +template +inline T min(T a, T b) { return a < b ? a : b; } +const int N = int(1e5 + 3); +struct Point +{ + double x, y; +} p[N]; +double len(const Point &P) { return sqrt(P.x * P.x + P.y * P.y); } +inline bool operator<(const Point &l, const Point &r) { return l.x < r.x; } +inline Point operator-(const Point &l, const Point &r) +{ + Point ret; + ret.x = l.x - r.x; + ret.y = l.y - r.y; + return ret; +} +double solve(int l, int r) +{ + if (l == r - 1) return 1e20; + int m = (l + r) >> 1; + double ans = min(solve(l, m), solve(m, r)); + double x0 = (p[m - 1].x + p[m].x) / 2; + static Point a[N], b[N], c[N]; + int bn = 0, cn = 0; + for (int i = l, li = l, ri = m; i < r; i++) + if (li < m && (ri == r || p[li].y < p[ri].y)) + { + a[i] = p[li++]; + if (x0 - a[i].x < ans) b[bn++] = a[i]; + } + else + { + a[i] = p[ri++]; + if (a[i].x - x0 < ans) c[cn++] = a[i]; + } + memcpy(p + l, a + l, (r - l) << 4); + for (int i = 0, j = 0, k; i < bn || j < cn;) + if (i < bn && (j == cn || b[i].y < c[j].y)) + for (k = j - 1; (k >= 0 && b[i].y - ans < c[k].y) || i++ > INT_MAX; k--) + ans = min(ans, len(c[k] - b[i])); + else + for (k = i - 1; (k >= 0 && c[j].y - ans < b[k].y) || j++ > INT_MAX; k--) + ans = min(ans, len(b[k] - c[j])); + return ans; +} +int main() +{ + int n; + while (scanf("%d", &n), n) + { + for (int i = 0; i < n; i++) scanf("%lf%lf", &p[i].x, &p[i].y); + std::sort(p, p + n); + printf("%.2f\n", solve(0, n) / 2); + } + return 0; +} \ No newline at end of file diff --git a/省选准备/assets/day8/poj2299.cpp b/省选准备/assets/day8/poj2299.cpp new file mode 100644 index 0000000..54e97d8 --- /dev/null +++ b/省选准备/assets/day8/poj2299.cpp @@ -0,0 +1,28 @@ +#include +#include +typedef long long i64; +const int N = int(5e5 + 5); +int n, a[N]; +i64 merge(int l, int r) +{ + if (l == r - 1) return 0; + int m = (l + r) >> 1, bn = m - l, cn = r - m; + i64 cnt = merge(l, m) + merge(m, r); + static int b[N], c[N]; + memcpy(b, a + l, bn << 2), memcpy(c, a + m, cn << 2); + for (int i = l, bi = 0, ci = 0; i < r; i++) + if (bi < bn && (ci == cn || b[bi] <= c[ci])) + a[i] = b[bi++]; + else + a[i] = c[ci++], cnt += bn - bi; + return cnt; +} +int main() +{ + while (scanf("%d", &n), n) + { + for (int i = 0; i < n; i++) scanf("%d", a + i); + printf("%lld\n", merge(0, n)); + } + return 0; +} \ No newline at end of file diff --git a/省选准备/省选基础算法.pdf b/省选准备/省选基础算法.pdf index b7249402caf31a33e4808f522e06df7a3ceda608..0005d47502272d05a705d1d099b1d8ade2d83c0a 100644 GIT binary patch delta 460098 zcmZU)Q*YvL7Y?Z;Y!BNV5!O-D zD)#k@xoB4(4NmyRB^L3=M!LqX5r^fi&`V16_Nv%+C?i)rwt%sz|J(n z9;~hRK;XYzgVVz*%YY`{Pyy`#mct|zT zl5ICgXx{^@xa2SjV`gXS?2^_g1;Gkn=jIX+fN^$lGBdJ;@z}V|ZjXK9fb;+43o$T6 z*YEHrQ~{HWbOCOGRerltKKjm5e4Hh>8gcSR8;`BWigwqaFuNp`Q%(%)g}@U6INY&$ zV9JFLex2Sep57fY@)2S2`q&LZY7g!~0{@{JJbn1&)RvqJJ%1WKt=mYovmFNT9*T;U 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