《挑战程序设计竞赛1》题解合集

英文题面的题解

ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);

#ifdef local_debug
freopen("words.in", "r", stdin);
freopen("out.txt", "w", stdout);
#endif

https://vjudge.net/

https://vjudge.net.cn/

《挑战程序设计竞赛1》

2.1 poj 1979 Red and Black

挑战程序设计竞赛 2.1章习题 AOJ 0118 Property Distribution dfs bfs

挑战程序设计竞赛 2.1章习题 AOJ 0033 Ball

挑战程序设计竞赛 2.1章习题 POJ 3009 Curling 2.0

挑战程序设计竞赛 2.1章习题 Aizu - 0558 Cheese BFS

2.1 Meteor Shower

挑战程序设计竞赛 2.1章习题 AOJ 0121 Seven Puzzle bfs

挑战程序设计竞赛 2.1章习题 poj 2718 Smallest Difference dfs

挑战程序设计竞赛 2.1章习题 POJ 3187 Backward Digit Sums dfs

挑战程序设计竞赛 2.1章习题 poj 3050 Hopscotch dfs

挑战程序设计竞赛 2.1章习题 Aizu - 0525 Osenbei BFS

挑战程序设计竞赛 2.1章习题 POJ 2386 Lake Counting

挑战程序设计竞赛 2.2章习题 poj 2376 Cleaning Shifts

挑战程序设计竞赛 2.2 poj 1328 Radarinstallation

挑战程序设计竞赛 2.2章习题 poj 3190 Stall Reservations(贪心+优先队列)

挑战程序设计竞赛 2.2 poj 2393 Yogurt factory

挑战程序设计竞赛 2.2章习题 poj 1017 Packets 贪心模拟

挑战程序设计竞赛 2.2章习题 POJ - 3617 Best Cow Line 贪心

挑战程序设计竞赛 2.2章习题 poj 1862 Stripies 贪心

挑战程序设计竞赛 2.2章习题 poj 3262 Protecting the Flowers 比率贪心

挑战程序设计竞赛 2.2 poj 3040 Allowance 贪心

挑战程序设计竞赛 2.3章习题 poj 3176 Cow Bowling dp

挑战程序设计竞赛 2.3章习题 poj 2229 Sumsets dp

挑战程序设计竞赛 2.3章习题 poj 3046 Ant Counting

挑战程序设计竞赛 2.6章习题 poj 3421 X-factor Chains

挑战程序设计竞赛 2.6章习题 UVA - 10006 Carmichael Numbers

挑战程序设计竞赛 2.6章习题 POJ 1930 Dead Fraction

题单目录

第2章 初出茅庐——初级篇

2.1 最基础的“穷竭搜索”
深度优先搜索：
1    
POJ-1979
Red and Black
26040    
Japan 2004 Domestic
2    
Aizu-0118
Property Distribution
5447    
3rd PC Koshien, Final
3    
Aizu-0033
Ball
6871    
2nd PC Koshien, Preliminary Round
4    
POJ-3009
Curling 2.0
10966    
Japan 2006 Domestic
广度优先搜索：
 
1    
Aizu-0558
Cheese
4600    
10th Japanese Olympiad in Informatics, Preliminary Round
2    
POJ-3669
Meteor Shower
6398    
USACO 2008 February Silver
3    
Aizu-0121
Seven Puzzle
3015    
3rd PC Koshien, Final
穷竭搜索：
1    
POJ-2718
Smallest Difference
4666    
Rocky Mountain 2005
2    
POJ-3187
Backward Digit Sums
5656    
USACO 2006 February Gold & Silver
3    
POJ-3050
Hopscotch
4468    
USACO 2005 November Bronze
4    
Aizu-0525
Osenbei
2594    
2.2 一直往前！贪心法
区间法：
 
1    
POJ-2376
Cleaning Shifts
9485    
USACO 2004 December Silver
2    
POJ-1328
Radar Installation
24737    
Beijing 2002
3    
POJ-3190
Stall Reservations
5990    
USACO 2006 February Silver
其他：
1    
POJ-2393
Yogurt factory
8325    
USACO 2005 March Gold
2    
POJ-1017
Packets
19509    
Central Europe 1996
3    
POJ-3040
Allowance
3641    
USACO 2005 October Silver
4    
POJ-1862
Stripies
9545    
Northeastern Europe 2001, Northern Subregion
5    
POJ-3262
Protecting the Flowers
5998    
USACO 2007 January Silver

2.3 记录结果再利用的“动态规划”
基础的动态规划算法：
 
1    
POJ-3176
Cow Bowling
14872    
USACO 2005 December Bronze
2    
POJ-2229
Sumsets
8998    
USACO 2005 January Silver
3    
POJ-2385
Apple Catching
7317    
USACO 2004 November
4    
POJ-3616
Milking Time
8766    
USACO 2007 November Silver
5    
POJ-3280
Cheapest Palindrome
6649    
USACO 2007 Open Gold
优化递推关系式：
 
1    
POJ-1742
Coins
10415    
LouTiancheng@POJ
2    
POJ-3046
Ant Counting
2806    
USACO 2005 November Silver
3    
POJ-3181
Dollar Dayz
3778    
USACO 2006 January Silver
需要稍加思考的题目：
 
1    
POJ-1065
Wooden Sticks
10161    
Taejon 2001
2    
POJ-1631
Bridging signals
7056    
Northwestern Europe 2003
3    
POJ-3666
Making the Grade
5072    
USACO 2008 February Gold
4    
POJ-2392
Space Elevator
5594    
USACO 2005 March Gold
5    
POJ-2184
Cow Exhibition
5312    
USACO 2003 Fall


2.4 加工并存储数据的数据结构
优先队列：
1    
POJ-3614
Sunscreen
4790    
USACO 2007 November Gold
2    
POJ-2010
Moo University - Financial Aid
3034    
USACO 2004 March Green
并查集：
 
1    
POJ-2236
Wireless Network
16792    
POJ Monthly,HQM
2    
POJ-1703
Find them, Catch them
13408    
POJ Monthly--2004.07.18
3    
Aizu-2170
Marked Ancestor
2368    
ACM-ICPC Japan Alumni Group Summer Camp 2009 Day 3


2.5 它们其实都是“图”
最短路：
1    
Aizu-0189
Convenient Location
2960    
6th PC Koshien, Final
2    
POJ-2139
Six Degrees of Cowvin Bacon
4237    
USACO 2003 March Orange
3    
POJ-3259
Wormholes
19392    
USACO 2006 December Gold
4    
POJ-3268
Silver Cow Party
14942    
USACO 2007 February Silver
5    
Aizu-2249
Road Construction
2142    
ACM-ICPC Japan Alumni Group Practice Contest for Asia Regionals 2010
6    
Aizu-2200
Mr. Rito Post Office
1304    
ACM-ICPC Japan Alumni Group Practice Contest for Japan Domestic 2010

最小生成树：
1    
POJ-1258
Agri-Net
24220    
USACO 102
2    
POJ-2377
Bad Cowtractors
6155    
USACO 2004 December Silver
3    
Aizu-2224
Save your cats
1876    
ACM-ICPC Japan Alumni Group Summer Camp 2010 Day 4
4    
POJ-2395
Out of Hay
6534    
USACO 2005 March Silver


2.6 数学问题的解题窍门
辗转相除法：
1    
Aizu-0005
GCD and LCM
12050    
1st PC Koshien, Final
2    
POJ-2429
GCD & LCM Inverse
1866    
POJ Achilles
3    
POJ-1930
Dead Fraction
1713    
Waterloo local 2003.09.27


素数：
1    
Aizu-0009
Prime Number
10762    
1st PC Koshien, Final
2    
POJ-3126
Prime Path
19590    
Northwestern Europe 2006
3    
POJ-3421
X-factor Chains
2796    
POJ Monthly--2007.10.06, ailyanlu@zsu
4    
POJ-3292
Semi-prime H-numbers
4497    
Waterloo Local Contest, 2006.9.30

快速幂运算：
1    
POJ-3641
Pseudoprime numbers
5600    
Waterloo Local Contest, 2007.9.23
2    
POJ-1995
Raising Modulo Numbers
11748    
CTU Open 1999


第3章 出类拔萃——中级篇
3.1 不光是查找值！“二分搜索”
最大化最小值：
1    
POJ-3258
River Hopscotch
9559    
USACO 2006 December Silver
2    
POJ-3273
Monthly Expense
11971    
USACO 2007 March Silver
3    
POJ-3104
Drying
6884    
Northeastern Europe 2005, Northern Subregion
4    
POJ-3045
Cow Acrobats
3241    
USACO 2005 November Silver

最大化平均值：
1    
POJ-2976
Dropping tests
6673    
Stanford Local 2005
2    
POJ-3111
K Best
2733    
Northeastern Europe 2005, Northern Subregion

查找第k大的值：
1    
POJ-2010
Moo University - Financial Aid
3034    
USACO 2004 March Green
2    
POJ-3662
Telephone Lines
3364    
USACO 2008 January Silver

其他：
1    
POJ-1759
Garland
1462    
Northeastern Europe 2000
2    
POJ-3484
Showstopper
801    
Southeastern Europe 2007

3.2 常用技巧精选（一）
尺取法：
1    
POJ-2566
Bound Found
2911    
Ulm Local 2001
2    
POJ-2739
Sum of Consecutive Prime Numbers
15336    
Japan 2005
3    
POJ-2100
Graveyard Design
2778    
Northeastern Europe 2004, Northern Subregion

反转：
1    
POJ-3185
The Water Bowls
2683    
USACO 2006 January Bronze
2    
POJ-1222
EXTENDED LIGHTS OUT
7757    
Greater New York 2002

弹性碰撞：
1    
POJ-2674
Linear world
929    
Southeastern Europe 2005


折半枚举：
1    
POJ-3977
Subset
1311    
Seventh ACM Egyptian National Programming Contest
2    
POJ-2549
Sumsets
2645    
Waterloo local 2001.06.02

坐标离散化：
1    
Aizu-0531
Paint Color
1455    
7th Japanese Olympiad in Informatics

3.3 活用各种数据结构
Binary Indexed Tree：
1    
POJ-1990
MooFest
4244    
USACO 2004 U S Open
2    
POJ-3109
Inner Vertices
670    
Northeastern Europe 2005, Northern Subregion
3    
POJ-2155
Matrix
8931    
POJ Monthly,Lou Tiancheng
4    
POJ-2886
Who Gets the Most Candies?
3443    
POJ Monthly--2006.07.30, Sempr

线段树和平方分割：
1    
POJ-3264
Balanced Lineup
23707    
USACO 2007 January Silver
2    
POJ-3368
Frequent values
6807    
Ulm Local 2007
3    
POJ-3470
Walls
283    
POJ Monthly--2007.11.25, Zhou Dong
4    
POJ-1201
Intervals
8922    
Southwestern Europe 2002
5    
UVA-11990
``Dynamic'' Inversion


3.4 熟练掌握动态规划
状态压缩DP：
1    
POJ-2441
Arrange the Bulls
1697    
POJ Monthly,TN
2    
POJ-3254
Corn Fields
9804    
USACO 2006 November Gold
3    
POJ-2836
Rectangular Covering
790    
PKU Local 2006, kicc
4    
POJ-1795
DNA Laboratory
495    
TUD Programming Contest 2004, Darmstadt, Germany
5    
POJ-3411
Paid Roads
2423    
Northeastern Europe 2002, Western Subregion


矩阵的幂：
1    
POJ-3420
Quad Tiling
1938    
POJ Monthly--2007.10.06, Dagger
2    
POJ-3735
Training little cats
2542    
PKU Campus 2009 (POJ Monthly Contest – 2009.05.17), Facer

利用数据结构高效求解：
1    
POJ-3171
Cleaning Shifts
1402    
USACO 2005 December Silver

3.5 借助水流解决问题的网络流
最大流与最小割：
1    
POJ-3713
Transferring Sylla
598    
POJ Founder Monthly Contest – 2008.12.28, Dagger
2    
POJ-2987
Firing
2189    
POJ Monthly--2006.08.27, frkstyc
3    
POJ-2914
Minimum Cut
2734    
Baidu Star 2006 Semifinal
Wang, Ying (Originator)
Chen, Shixi (Test cases)
4    
POJ-3155
Hard Life
1518    
Northeastern Europe 2006

二分图匹配：
1    
POJ-1274
The Perfect Stall
9936    
USACO 40
2    
POJ-2112
Optimal Milking
4533    
USACO 2003 U S Open
3    
POJ-1486
Sorting Slides
1769    
Southwestern European Regional Contest 1998
4    
POJ-1466
Girls and Boys
4500    
Southeastern Europe 2000
5    
POJ-3692
Kindergarten
3418    
2008 Asia Hefei Regional Contest Online by USTC
6    
POJ-2724
Purifying Machine
1353    
Beijing 2005
7    
POJ-2226
Muddy Fields
4093    
USACO 2005 January Gold
8    
Aizu-2251
Merry Christmas
575    
ACM-ICPC Japan Alumni Group Practice Contest for Asia Regionals 2010

最小费用流：
1    
POJ-3068
"Shortest" pair of paths
880    
Southeastern Europe 2006
2    
POJ-2195
Going Home
8704    
Pacific Northwest 2004
3    
POJ-3422
Kaka's Matrix Travels
2811    
POJ Monthly--2007.10.06, Huang, Jinsong
4    
Aizu-2266
Cache Strategy
156    
University of Tokyo Programming Contest 2011
5    
Aizu-2230
How to Create a Good Game
259    
ACM-ICPC Japan Alumni Group Summer Camp 2010 Day 4


3.6 与平面和空间打交道的计算几何
极限情况：
1    
POJ-1981
Circle and Points
1753    
Japan 2004 Domestic
2    
POJ-1418
Viva Confetti
356    
Japan 2002 Kanazawa
3    
Aizu-2201
Immortal Jewels
377    
ACM-ICPC Japan Alumni Group Practice Contest for Japan Domestic 2010

平面扫描： 
1    
POJ-3168
Barn Expansion
573    
USACO 2005 December Gold
2    
POJ-3293
Rectilinear polygon
236    
Waterloo Local Contest, 2006.9.30
3    
POJ-2482
Stars in Your Window
2527    
POJ Contest,Author:kinfkong@ZSU

凸包：
1    
POJ-1113
Wall
9243    
Northeastern Europe 2001
2    
POJ-1912
A highway and the seven dwarfs
428    
CEOI 2002
3    
POJ-3608
Bridge Across Islands
1549    
POJ Founder Monthly Contest – 2008.06.29, Lei Tao
4    
POJ-2079
Triangle
1917    
Shanghai 2004 Preliminary
5    
POJ-3246
Game
321    
POJ Monthly--2007.07.08, Wang, Dong
6    
POJ-3689
Equations
78    
POJ Founder Monthly Contest – 2008.08.31, Lei, Tao


数值积分：
1    
Aizu-2256
Divide the Cake
141    
ACM-ICPC Japan Alumni Group Practice Contest for Japan Domestic 2011
2    
Aizu-2215
Three Silhouettes
4    
University of Tokyo Programming Contest 2010


第4章 登峰造极——高级篇
4.1 更加复杂的数学问题
模运算的世界：
1    
POJ-1150
The Last Non-zero Digit
1460    
uva 10212
2    
POJ-1284
Primitive Roots
3138    
贾怡@pku
3    
POJ-2115
C Looooops
8035    
CTU Open 2004
4    
POJ-3708
Recurrent Function
255    
POJ Founder Monthly Contest – 2008.12.28, Yaojinyu
5    
POJ-2720
Last Digits
317    
Rocky Mountain 2005

矩阵：
1    
POJ-2345
Central heating
374    
Ural State University Internal Contest October'2000 Students Session
2    
POJ-3532
Resistance
291    
POJ Founder Monthly Contest – 2008.03.16, g201513
3    
POJ-3526
The Teacher’s Side of Math
163    
Japan 2007

计数：
1    
POJ-2407
Relatives
8035    
Waterloo local 2002.07.01
2    
POJ-1286
Necklace of Beads
3825    
Xi'an 2002
3    
POJ-2409
Let it Bead
4146    
Ulm Local 2000
4    
Aizu-2164
Revenge of the Round Table
66    
ACM-ICPC Japan Alumni Group Summer Camp 2009 Day 2
5    
Aizu-2214
Warp Hall
34    
University of Tokyo Programming Contest 2010


4.2 找出游戏的必胜策略
推理与动态规划算法：
1    
POJ-1082
Calendar Game
2908    
Taejon 2001
2    
POJ-2068
Nim
1238    
Japan 2001
3    
POJ-3688
Cheat in the Game
407    
POJ Founder Monthly Contest – 2008.08.31, facer
4    
POJ-1740
A New Stone Game
3535    
LouTiancheng@POJ

Nim与Grundy数：
1    
POJ-2975
Nim
3340    
Stanford Local 2005
2    
POJ-3537
Crosses and Crosses
1536    
Northeastern Europe 2007, Northern Subregion
3    
CodeForces-138D
World of Darkraft
564    
Codeforces Beta Round 99 (Div. 1)
4    
POJ-2315
Football Game
260    
POJ Monthly,uni


4.3 成为图论大师之路
强连通分量分解：
1    
POJ-3180
The Cow Prom
1759    
USACO 2006 January Silver
2    
POJ-1236
Network of Schools
8470    
IOI 1996

2-SAT：
1    
POJ-3678
Katu Puzzle
3413    
POJ Founder Monthly Contest – 2008.07.27, Dagger
2    
POJ-2723
Get Luffy Out
2384    
Beijing 2005
3    
POJ-2749
Building roads
1677    
POJ Monthly--2006.01.22,zhucheng


LCA：
1    
POJ-1986
Distance Queries
4401    
USACO 2004 February
2    
POJ-3728
The merchant
1558    
POJ Monthly Contest – 2009.04.05, GaoYihan
4.4 常用技巧精选（二）

栈：
 
1    
POJ-3250
Bad Hair Day
8748    
USACO 2006 November Silver
2    
POJ-2082
Terrible Sets
2361    
Shanghai 2004 Preliminary
3    
POJ-3494
Largest Submatrix of All 1’s
2742    
POJ Founder Monthly Contest – 2008.01.31, xfxyjwf


双端队列：
1    
POJ-2823
Sliding Window
15432    
POJ Monthly--2006.04.28, Ikki
2    
POJ-3260
The Fewest Coins
2003    
USACO 2006 December Gold
3    
POJ-1180
Batch Scheduling
1817    
IOI 2002
4    
Aizu-1070
FIMO sequence
41    
University of Aizu Programming Contest 2011 1

4.5 开动脑筋智慧搜索
剪枝：
1    
POJ-1011
Sticks
22393    
Central Europe 1995
2    
POJ-2046
Gap
520    
Japan 2003,Aizu
3    
POJ-3134
Power Calculus
1507    
Japan 2006
A*与IDA*：
 
1    
POJ-3523
The Morning after Halloween
450    
Japan 2007
2    
POJ-2032
Square Carpets
214    
Japan 2003 Domestic
3    
UVA-10181
15-Puzzle Problem
2098    

4.6 划分、解决、合并：分治法
数列上的分治法：
1    
POJ-1854
Evil Straw Warts Live
709    
Waterloo local 2004.09.19


平面上的分治法：
1    
Gym-100240K
Min Perimeter
60    
2013-2014 CT S01E05: 2007 Nordic Collegiate Programming Contest (NCPC 2007) + Selected Problems from 2009 Google Code Jam World Finals (GCJ WF 2009)
2    
CodeForces-97B
Superset
1036    
Yandex.Algorithm 2011: Finals

树上的分治法：
1    
POJ-2114
Boatherds
925    
CTU Open 2004
2    
UVA-12161
Ironman Race in Treeland
187    
3    
SPOJ-QTREE5
Query on a tree V
2170    
XunYunbo, modified from ZJOI07

4.7 华丽地处理字符串
动态规划算法：
1    
Aizu-2212
Stolen Jewel
194    
University of Tokyo Programming Contest 2010
2    
CodeForces-86C
Genetic engineering
821    
Yandex.Algorithm 2011: Round 2

字符串匹配：
1    
CodeForces-25E
Test
2683    
Codeforces Beta Round 25 (Div. 2 Only)
2    
Aizu-1312
Where's Wally
287    
ACM International Collegiate Programming Contest, Asia Regional 2010, Japan

后缀数组：
1    
POJ-1509
Glass Beads
2541    
Central Europe 1998
2    
POJ-3415
Common Substrings
3051    
POJ Monthly--2007.10.06, wintokk
3    
POJ-3729
Facer’s string
409    
POJ Monthly Contest – 2009.04.05, Facer
4    
Aizu-2292
Common Palindromes
237    
ACM-ICPC Japan Alumni Group Summer Camp 2011 Day 2
5    
CodeForces-123D
String
1339    
Codeforces Beta Round 92 (Div. 1 Only)

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《挑战程序设计竞赛1》 v2 （papamelon 中文题面）

由于网站关闭不再提供中文部分题解

第 1 章：蓄势待发——准备篇

papamelon 194. 抽签 dfs（挑战程序设计竞赛）

papamelon 192. 三角形（挑战程序设计竞赛）

papamelon 193. 蚂蚁（挑战程序设计竞赛）

papamelon 200. 抽签 II（挑战程序设计竞赛）

第 2 章：初出茅庐——初级篇 - 2.1 穷竭搜索

papamelon 201. 部分和问题（挑战程序设计竞赛）

papamelon 202. 水洼计数 Lake Counting（挑战程序设计竞赛）

papamelon 203. 迷宫的最短路径（挑战程序设计竞赛）

第 2 章：初出茅庐——初级篇 - 2.2 贪心算法