From 62aec8b1a8fad4754adffe2f8802398ccb5c9aed Mon Sep 17 00:00:00 2001 From: TooYoungTooSimp <6648049+TooYoungTooSimp@users.noreply.github.com> Date: Mon, 6 Mar 2017 10:12:11 +0800 Subject: [PATCH] Section 7.1.1 --- OnlineJudges/poj/2456.cpp | 22 ++++++++++++++++++++++ 省选准备/assets/day7/poj2456.cpp | 22 ++++++++++++++++++++++ 省选准备/省选基础算法.pdf | Bin 937142 -> 939379 bytes 省选准备/省选基础算法.tex | 5 ++++- 4 files changed, 48 insertions(+), 1 deletion(-) create mode 100644 OnlineJudges/poj/2456.cpp create mode 100644 省选准备/assets/day7/poj2456.cpp diff --git a/OnlineJudges/poj/2456.cpp b/OnlineJudges/poj/2456.cpp new file mode 100644 index 0000000..4c79822 --- /dev/null +++ b/OnlineJudges/poj/2456.cpp @@ -0,0 +1,22 @@ +#include +#include +int n, m, a[100005]; +bool check(int d) +{ + int cow = 0, nxt = 0; + for (int i = 0; i < n; i++) + if (a[i] >= nxt) + cow++, nxt = a[i] + d; + return cow >= m; +} +int main() +{ + scanf("%d%d", &n, &m); + for (int i = 0; i < n; i++) scanf("%d", a + i); + std::sort(a, a + n); + int L = 0, R = 0x3f3f3f3f, mid; + while (L < R) + check(mid = (L + R) >> 1) ? L = mid + 1 : R = mid; + printf("%d", L - 1); + return 0; +} \ No newline at end of file diff --git a/省选准备/assets/day7/poj2456.cpp b/省选准备/assets/day7/poj2456.cpp new file mode 100644 index 0000000..4c79822 --- /dev/null +++ b/省选准备/assets/day7/poj2456.cpp @@ -0,0 +1,22 @@ +#include +#include +int n, m, a[100005]; +bool check(int d) +{ + int cow = 0, nxt = 0; + for (int i = 0; i < n; i++) + if (a[i] >= nxt) + cow++, nxt = a[i] + d; + return cow >= m; +} +int main() +{ + scanf("%d%d", &n, &m); + for (int i = 0; i < n; i++) scanf("%d", a + i); + std::sort(a, a + n); + int L = 0, R = 0x3f3f3f3f, mid; + while (L < R) + check(mid = (L + R) >> 1) ? L = mid + 1 : R = mid; + printf("%d", L - 1); + 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 d366c5c00c140d157d11839b38a7b479c992f871..1dcd862fd732d85f3c24fba4bbb83f9e93049f4a 100644 GIT binary patch delta 235251 zcmZ6x18^o!^e!A58{4*>Hyhi@#==-pp}H|;k&{^*Ot~v-#%02%(ZnQ z#^Vf$x0w>X{n?lm@u9G;b?Q{H6|PqXc7y%l@AZ49)0za$BdT#;Pd@Z0O((Q0Q-sW@ z4(7yY0N(fZ>Z+LRf3tBjxJD@*4;5P27ig1ytw{BwyALa8q=cyiiE9kj($N#jG4VF{ z0o|IotJ-#MV=C}CEnlE3fQDrH65f})Bkh%QuFr|qLss?JlGJL{TzwaO%6N-aD~K2r z$q12$YoeqS`3+JZ7qJ6p;X5aIF^+5fMyPODSYDzmlY!I5=Bo3YsdiIDSByNx_A79v zb|%g)PNs&o|CQ{Gtl&6UiJ6JN3!&3eP~R7H%d`}XeFi8;DhW6=C6Jv%KmhLl@8Gev zs3jMBz>BhZM|bJ8RS-R~oubtx2u7{}VBs@}R|qnQ+k*2ID6vsT-QJLgx(^BxPj_3F zFFsXWEOVNV%_Y2_eU^x|AY?H~zBPV*d|q50VFLamDoO@=>k`@TCokUYHnQ#$>L2~= zww4Aqej@n2{%}^aNXWYy_@&D+q9Kib5kVA_k~YcC3pmab zNwc^;J8`6Ofx}s?`$%6`bAkQ>}y&hio8JuP?4@|@+2+adDI#(=JTU!4KdeB+Q z9_l2zKP}9(aGXf;(48szjZjH>yOhLZZVs50{;jLaENFXbxUPHnYxMEPEP#~%$d 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b/省选准备/省选基础算法.tex @@ -505,7 +505,10 @@ Manacher 模板题 \subparagraph{二分答案} 最小值最大(或是最大值最小)问题,这类双最值问题常常使用二分法求解,也就是确定答案后,配合贪心或DP等其他算法来检验这个答案是否合法,将最优化问题转变为判定性问题。例如:将长度为$n$的序列$a_i$分成最多$m$个连续段,求所有分法中每段和的最大值最小能是多少。 \subparagraph{二分查找} - 具有单调性的布尔表达式求解分界点,比如在有序数列中求解数字 x 的排名。 + 具有单调性的布尔表达式求解分界点,比如在有序数列中求解数字$x$的排名。 \subparagraph{二分导数代替三分} 有时对于一些单峰函数,我们可以通过二分导函数的方法求解函数极值,这样使用时通常定义域为整数域比较方便,因为此时$dx$可以直接取整数$1$。 +\subparagraph{二分的例题} 我讨厌奶牛。 +\codeinput[\href{http://poj.org/problem?id=2456}{POJ2456} - Aggressive cows]{assets/day7/poj2456.cpp} + 你看,这次的答案就是\verb|L - 1|。 \end{document} \ No newline at end of file