uva 10152 shellsort
2011-10-02 16:22
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Problem D: ShellSort
He made each turtle stand on another one's backAnd he piled them all up in a nine-turtle stack.
And then Yertle climbed up. He sat down on the pile.
What a wonderful view! He could see 'most a mile!
The Problem
King Yertle wishes to rearrange his turtle throne to place his highest-ranking nobles and closest advisors nearer to the top. A single operation is available to change the order of the turtles in the stack: a turtle can crawl out of its position in the stackand climb up over the other turtles to sit on the top.
Given an original ordering of a turtle stack and a required ordering for the same turtle stack, your job is to determine a minimal sequence of operations that rearranges the original stack into the required stack.
The first line of the input consists of a single integer K giving the number of test cases. Each test case consist on an integer n giving the number of turtles in the stack. The next n lines specify the original ordering of the
turtle stack. Each of the lines contains the name of a turtle, starting with the turtle on the top of the stack and working down to the turtle at the bottom of the stack. Turtles have unique names, each of which is a string of no more than eighty characters
drawn from a character set consisting of the alphanumeric characters, the space character and the period (`.'). The next n lines in the input gives the desired ordering of the stack, once again by naming turtles from top to bottom. Each test case
consists of exactly 2n+1 lines in total. The number of turtles (n) will be less than or equal to two hundred.
For each test case, the output consists of a sequence of turtle names, one per line, indicating the order in which turtles are to leave their positions in the stack and crawl to the top. This sequence of operations should transform the original stack into
the required stack and should be as short as possible. If more than one solution of shortest length is possible, any of the solutions may be reported. Print a blank line after each test case.
Sample Input
2 3 Yertle Duke of Earl Sir Lancelot Duke of Earl Yertle Sir Lancelot 9 Yertle Duke of Earl Sir Lancelot Elizabeth Windsor Michael Eisner Richard M. Nixon Mr. Rogers Ford Perfect Mack Yertle Richard M. Nixon Sir Lancelot Duke of Earl Elizabeth Windsor Michael Eisner Mr. Rogers Ford Perfect Mack
Sample Output
Duke of Earl Sir Lancelot Richard M. Nixon Yertle
从号码第二大(第一大不用管)的乌龟开始。
到了第 n 号乌龟时,若他和比他大一号(n+1)的乌龟顺序正确,则 n 号乌龟不动,否则爬到顶端。
#include <cstdio> #include <cstdlib> #include <cassert> #include <list> #include <algorithm> #include <string> using namespace std; struct Turtle { int _n; string _name; Turtle (int n, const string &name): _n (n), _name (name) {} }; list <Turtle> turtle; void Solve () { int n; if (scanf ("%d", &n) == EOF) { exit (0); } while (getchar() != '\n') {} turtle.clear (); char name[100]; for (int i=0; i<n; ++i) { gets (name); turtle.push_back (Turtle (-1, name)); } for (int i=0; i<n; ++i) { gets (name); for (__typeof (turtle.begin()) k=turtle.begin(); k!=turtle.end(); ++k) { if (k->_name == name) { assert (k->_n == -1); k->_n = i; break; } } } // initialization complete, begin to sort for (int i=1; i<n; ++i) { int finding = n - i - 1; list <Turtle>::iterator itPrev = turtle.end(), itFinding = turtle.end(), it = turtle.begin(); while (itFinding == turtle.end()) { assert (it != turtle.end()); if (it->_n == finding) { itFinding = it; } else if (it->_n == finding + 1) { itPrev = it; } ++it; } if (itPrev != turtle.end()) { // turtle 'finding + 1' is not below turtle 'finding' printf ("%s\n", itFinding->_name.c_str()); turtle.insert (turtle.begin(), *itFinding); turtle.erase (itFinding); } #ifdef _DEBUG printf ("\n"); for (list <Turtle>::iterator i=turtle.begin(); i!=turtle.end(); ++i) { printf ("%30s, %d\n", i->_name.c_str(), i->_n); } printf ("\n"); #endif } printf ("\n"); } int main () { int cs; scanf ("%d", &cs); while (cs--) { Solve (); } }
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