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给出四个数字,要求,在其间添加运算符和括号,使得计算结果等于24。* z1 ?( j- c- H
v0 G: u" a# Z) R0 K2 l6 @ 括号的放置即为决定哪几个数先进行计算。所以,我们先确定首先进行计算的两个相邻的数,计算完成后,就相当于剩下三个数字,仍需要在它们之间添加符号;然后再决定在这三个数中哪两个相邻的数先计算。由此,我们就成功解决了数字的运算次序问题,此时不需要再考虑不同运算符号的优先级问题,因为括号的优先级高于加减乘除。
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通过循环,我们可以得到第一第二第三次计算的运算符,再通过计算,就可以得出和,若和等于24,即为所求解。$ e! I% {( ~" H$ c0 e( l' _
: R* J2 @' K5 h/ G 在输出格式中,由于括号的放置共六种情况,故根据计算先后顺序的不同,输出时在不同地方放置括号;; r. E* E- o$ R% F9 Q* S* s% q
0 g, @& ^6 M; k8 V) v 以下是java 源码 :
: i7 a8 }" y8 l7 O8 N) M* L import java.awt.*;! |; D& L* J# C N& i: _$ _
import javax.swing.*;' w% A+ ]$ S: q6 w+ p9 [
import java.awt.event.*;
9 W2 e. G3 P# W5 [3 U a' \ import java.util.*;/ W V. B- S3 |7 R/ ]
import javax.swing.JOptionPane;
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public class TwentyFourPoke_Game extends JFrame; t: |' Q8 f; F9 I {2 d+ F z
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private JButton jbsolution = new JButton("Find a Solution");
' E, z3 n$ |4 H, ` private JButton jbrefresh = new JButton("Refresh");
6 U6 ?# r* x _ private JButton jbverify = new JButton("Verify");9 O$ K$ Y1 L" _" H8 L
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private JLabel jlmessage = new JLabel("Enter an expression:"); X k: C" }: l5 q6 f
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private JTextField jtsolution = new JTextField();
3 O, O( a0 p8 `% r private JTextField jtexpression = new JTextField();1 w# S( A* W* I8 j8 f% G% `' d
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private ImagePanel pp = new ImagePanel();4 c& ~, c( m5 h# ?
9 Y/ \+ u9 z& x7 P5 X6 \3 _2 O private int[] card = new int[4];) ~/ G* n V! R* s: Y4 O3 r
private double[] bcard = new double[4];3 L- K1 h* p5 q7 K1 \
' g( |4 `+ J( y5 c) C private double sum;
5 D4 P9 M8 Y& v* ?* `' Z9 h private double[] temp1 = new double[3];
5 C: f* {4 ]1 y. [) D- R! p private double[] temp2 = new double[2];+ G5 m F; v% G3 ^
private char[] sign = {'+','-','*','/'};' m" P4 k. X6 J' h7 ]. r7 s0 U# B
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public TwentyFourPoke_Game()! w2 d3 B' u- P& ~* {
{
& J# T5 Z% q% d$ d e7 v x JPanel p1 = new JPanel(new GridLayout(1,3));
; ?. o! Q7 j) |' Q4 U8 @ p1.add(jbsolution);- P2 j" _9 q8 B% c! }
p1.add(jtsolution);& | a5 p( M, w& x
p1.add(jbrefresh);" e, K* q7 i* B- ^5 e3 v
JPanel p3 = new JPanel(new GridLayout(1,3));
( d5 E3 C. c' Q, i% e1 t p3.add(jlmessage);9 h) S: I8 v. j( C Y5 F( X A
p3.add(jtexpression);
! K) K0 N* L6 a p3.add(jbverify);; M) s5 z* A) j2 q0 b! _
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add(p1,BorderLayout.NORTH);1 ?! M. ]1 v- p; z
add(pp,BorderLayout.CENTER);
4 n& c; k6 T/ m! I8 M5 S add(p3,BorderLayout.SOUTH);) N$ ^& O% b) O; X8 U2 r
5 E; S& v# G$ T ButtonListener listener = new ButtonListener();
6 [$ f ?/ b6 B jbsolution.addActionListener(listener);
7 Z. P e$ }/ p- c, P, }2 l; p jbrefresh.addActionListener(listener);
! z9 u$ l% A7 T& `6 w* l9 M jbverify.addActionListener(listener);
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class ButtonListener implements ActionListener( G4 r/ L0 R) v) K- f2 O5 o
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public void actionPerformed(ActionEvent e): \: i+ |, k6 }' f+ A
{" ?. k5 y$ i/ S0 v6 \6 H
if(e.getSource() == jbsolution)$ v" b. m. l9 M' d+ J4 I5 m. v5 h* @- k
{
+ z' D( v$ M+ p2 r! T, H for(int i = 0;i < 4;i++)% C* G# g8 T: G1 V
{
" Q7 U# N0 N5 D/ W; h# @5 g9 e bcard[i] = (double)card[i] % 13;
# n' x5 w" i; E9 l Z/ _) n if(card[i] % 13 == 0)
' U! z7 P4 z) U bcard[i] = 13;% i+ u1 t7 x1 q" e, w$ Y+ V% K
}
7 F) [, V* \& H. h search();! B" |( N7 N/ e: m; |0 P8 A
}
7 K2 ~& B2 y- q" I, o" K" |0 l+ q else if(e.getSource() == jbrefresh)8 B, j0 k7 I/ I4 Y! `, I
{
! p! _; m0 @6 R. Z# C0 N# |* O pp.sshow();5 _7 f: [9 q: \8 C2 i; P$ N" |6 X
3 }6 u" F% s) A8 u }
, @* E4 r2 ~8 G$ U; a3 G! x' r else if(e.getSource() == jbverify)
7 g6 A7 f; g* b, R% _ {
2 m" z: E. |, T. L( ~ c; T, Q String expression = jtexpression.getText();# p- T( W7 _. j+ X) e5 _
int result = evaluateExpression(expression);
9 t# _4 I- r+ R if(result == 24)$ _7 w. m( @3 Q. g
{
3 d% r$ F5 O- N- _1 l* T8 N; I JOptionPane.showMessageDialog(null,"恭喜你!你答对了!","消息框",JOptionPane.INFORMATION_MESSAGE);
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else
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JOptionPane.showMessageDialog(null,"抱歉!请再次尝试。","消息框",JOptionPane.INFORMATION_MESSAGE);
3 r' Z6 M) h V j! Y }
$ }6 n/ m M' a. D5 M! J }
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}
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public static double calcute(double a,double b,char c)4 j1 y7 s1 G2 Q R) M
{
8 G) x- e) Q5 S/ @3 C if(c == '+')
: h! z. p( |, |8 Q return a+b;
" M# \% A& Q# ` else if(c == '-')
! e+ O% V7 x5 n return a-b;
/ o8 Y% `- e! C. X9 Q( \( V else if(c == '*'). t: k+ B) ? Y/ p2 i2 F# F
return a*b;
8 Q& V7 |& ]/ t0 |/ u" P$ j1 y/ M5 O else if(c == '/' && b != 0)
: M7 K% v7 T L1 m9 n7 z return a/b;
! R! f0 l# [; m& k2 _ else
0 N& R1 T/ V; S9 g( c5 B8 A return -1;, v g1 q6 V. X( w1 R8 \) u4 v
}
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2 A1 p( `9 ~! m, [) e! v public void search()
' V. k2 D; A1 F {
* P* s' h* K; o7 A. g boolean judge = false;
$ G9 |" i2 U# [6 L0 N for(int i=0;i<4;i++)
6 d0 e9 b: j/ g. C //第一次放置的符号
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for(int j=0;j<4;j++)
% p" R% F. M/ Q9 T' L7 y //第二次放置的符号: ]: M9 f! t' Y2 |# u3 R0 v3 Z
{
3 N* k6 l2 J0 b, ~5 l3 j* b for(int k=0;k<4;k++)
j( y3 H4 ^- [/ y //第三次放置的符号8 W$ M# k/ X* t: X+ M3 I
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for(int m=0;m<3;m++)) g4 g9 P0 G$ U4 W1 X' O2 m
//首先计算的两个相邻数字,共有3种情况,相当于括号的作用
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' D3 T( a, `8 M: d) X7 z3 a, ]/ Y" _ if(bcard[m+1]==0 && sign[i]=='/') break;
0 ]0 T8 G) T+ s" @! Q temp1[m]=calcute(bcard[m],bcard[m+1],sign[i]);; _$ T. `# B R" h" h# Z9 u D
temp1[(m+1)%3]=bcard[(m+2)%4];
1 ?: q. G% T2 z temp1[(m+2)%3]=bcard[(m+3)%4];
$ [- D# H# I+ L% j: c //先确定首先计算的两个数字,计算完成相当于剩下三个数,按顺序储存在temp数组中/ h- z8 `* z) E5 e! x
for(int n=0;n<2;n++)
- _$ i+ x* B0 G9 Z //三个数字选出先计算的两个相邻数字,两种情况,相当于第二个括号
# B/ I% E5 K/ W! O {
0 g3 [" y* |: B7 h9 N( Q$ a& z if(temp1[n+1]==0 && sign[j]=='/') break;
! n: g( A# i8 k; L temp2[n]=calcute(temp1[n],temp1[n+1],sign[j]); n' ^0 v& l. ~# D1 T
temp2[(n+1)%2]=temp1[(n+2)%3];7 Y8 C# w% s, W n3 I) X, s: ?2 ]
//先确定首先计算的两个数字,计算完成相当于剩下两个数,按顺序储存在temp数组中
9 F1 z8 R9 R3 x if(temp2[1]==0 && sign[k]=='/') break;
, U1 z' W: M, j. }7 `9 b4 M5 Q sum=calcute(temp2[0],temp2[1],sign[k]);
- w2 q! R! |; d& H5 Z //计算和
3 N4 L% `2 _# j. Q. w/ V) L if(sum==24)
. `6 B; P# J0 g; T0 o //若和为24& f' `3 M4 E5 H; A* P( ? W j5 G! w
{
& j- {- g+ F% ^3 ^" D9 t: ] judge=true;# W( d1 D# {" Q, B, O8 ]: e
//判断符为1,表示已求得解
. b1 l9 L3 i! o" Q0 C4 [ if(m==0 && n==0)
9 U/ C% G7 I) c; J3 ` {
3 W2 z' f* W& M3 ~& U8 ] String sss ="(("+(int)bcard[0]+sign[i]+(int)bcard[1]+")"+sign[j]+(int)bcard[2]+")"+sign[k]+(int)bcard[3]+"="+(int)sum;
- E5 J- R2 H! T jtsolution.setText(sss);. P f# N8 o( ` y+ T4 [1 W/ c
return ;
7 w A4 O+ Q+ Q6 P }
" }3 [% A; a, u0 I1 r$ ~9 Z2 \ else if(m==0 && n==1); z& D, }: l; y1 W2 _+ L/ I
{
6 H, ]) O, Z, O; \& N String sss ="("+(int)bcard[0]+sign[i]+(int)bcard[1]+")"+sign[k]+"("+(int)bcard[2]+sign[j]+(int)bcard[3]+")="+(int)sum;% ?. N( w, z3 \5 k9 N; i4 l
jtsolution.setText(sss);
0 F! I3 l0 H2 a) n7 M return ;4 j" |4 M9 l& }8 V/ R
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else if(m==1 && n==0)0 S" t* M \4 u: J6 G
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String sss ="("+(int)bcard[0]+sign[j]+"("+(int)bcard[1]+sign[i]+(int)bcard[2]+"))"+sign[k]+(int)bcard[3]+"="+(int)sum;
5 N/ ~8 G9 }) Y5 c jtsolution.setText(sss);) i7 {) B7 D: [( H. Q
return ;' |; u( _2 s7 |* J( ]
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else if(m==2 && n==0)* n: n' X- |' s$ k
{2 C1 r% p, g( y& \6 m
String sss ="("+(int)bcard[0]+sign[j]+(int)bcard[1]+")"+sign[k]+"("+(int)bcard[2]+sign[i]+(int)bcard[3]+")="+(int)sum;+ n: x) D3 S; j6 [( }9 X
jtsolution.setText(sss);
0 J. H- R+ D w1 b6 { return ;
* K2 T4 j: O. S+ c9 u) |0 {: h }
2 L( p, f5 U6 A+ j else if(m==2 && n==0)( N$ R' j1 L+ N+ z# d: @, W; X
{
- q; I6 T6 @" Q. D( G/ b) f- l0 Q. l String sss =(int)bcard[0]+sign[k]+"("+(int)bcard[1]+sign[j]+"("+(int)bcard[2]+sign[i]+(int)bcard[3]+"))="+(int)sum;
@3 A: Q' K1 \8 r6 E' o1 c8 M jtsolution.setText(sss);
, `- T' @4 t: I+ _ return ;* y6 b, k H/ H/ k& Z9 Z# k& C
}- ~! q$ t& _! Q( g
//m=0,1,2 n=0,1表示六种括号放置可能,并按照这六种可能输出相应的格式的计算式) u1 [' w2 A4 u7 l
; r; `/ ~" f/ z5 N8 K }
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}
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}2 }* }0 Q6 r8 ^
if(judge==false)9 u# I+ q8 T* @" g2 c3 g7 B
jtsolution.setText("No solution!");
$ h8 x& z6 S- [& ^ //如果没有找到结果,符号位为0- L# E; W+ |3 ^3 F# s- r Q+ ~6 w
}
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public static int evaluateExpression(String expression)
* X( V5 ]7 j8 m. e- p {
9 q- q! @0 `5 y7 f' z // Create operandStack to store operands7 `9 ]7 q: W# r1 Y: z9 [
java.util.Stack operandStack = new java.util.Stack();
+ M+ P$ n2 a; V7 q ( }9 Q' I5 d' z4 o$ i; |
// Create operatorStack to store operators
1 K$ H: l: H! _+ C! `$ g7 q java.util.Stack operatorStack = new java.util.Stack();. w2 P; ^( l0 f o
$ t' b' T% e6 _ s* l' y- C. c // Extract operands and operators
v3 G4 Q ~3 e* S) k java.util.StringTokenizer tokens = new java.util.StringTokenizer(expression, "()+-/*", true);( s9 H) d" d$ J1 ?- `
7 E" g, i# A1 I9 e1 c // Phase 1: Scan tokens
) P) T6 |: Q2 Z# e$ [ while (tokens.hasMoreTokens())' t( L& p k( ~4 Q
{+ l5 m( B Y4 c
String token = tokens.nextToken().trim(); // Extract a token
1 |$ z/ |' K$ \2 J if (token.length() == 0) // Blank space
) ]/ ^% i7 N3 X g continue; // Back to the while loop to extract the next token
3 p4 X1 A7 ?/ o, k, U' R. R4 \ else if (token.charAt(0) == '+' || token.charAt(0) == '-')
% ~' C5 |! `. p" ~- Y5 q {1 A& k5 w$ V: E4 M3 l, e( [$ u
// Process all +, -, *, / in the top of the operator stack8 q- q6 l$ j' B
while (!operatorStack.isEmpty() &&(operatorStack.peek().equals('+') ||operatorStack.peek().equals('-') || operatorStack.peek().equals('*') ||
! S5 t" i! S( }; F R operatorStack.peek().equals('/')))0 v/ O7 R: B+ a" b7 D D
{9 r: |1 ^2 G5 h- t
processAnOperator(operandStack, operatorStack);
" `/ w8 V r% X6 \0 j }
* r8 o" K- O+ \9 m // Push the + or - operator into the operator stack
K; ~; @/ P) F, f" J: B operatorStack.push(new Character(token.charAt(0)));8 c: q. P e, @- n9 m
}
( E+ @, C/ W/ h- @: ?1 t else if (token.charAt(0) == '*' || token.charAt(0) == '/')
2 X8 Q$ r8 t% W! A: ^: z {; [2 P# ]2 g! ?
// Process all *, / in the top of the operator stack
8 ?- T" ~5 Y- Z; U, @ while (!operatorStack.isEmpty() && (operatorStack.peek().equals('*') || operatorStack.peek().equals('/')))
6 v# y; G4 L# Y# D. A6 Y {
. }1 j: I- s, c) J9 N6 t/ h processAnOperator(operandStack, operatorStack);
0 @' U2 Q) q6 k }2 J9 M5 B% L4 _1 B2 Z9 ?/ j
9 }: I2 Z8 D' {3 X o // Push the * or / operator into the operator stack
/ ?+ Y- W8 o3 J9 N6 N operatorStack.push(new Character(token.charAt(0)));
2 L& K5 c8 q; O* [9 P }
- q! e* c8 a( z2 P else if (token.trim().charAt(0) == '(')8 Z6 l# z- Q9 g; j
{
8 ^8 \8 k( n/ n9 m0 B' P operatorStack.push(new Character('(')); // Push '(' to stack2 t5 |6 R7 ~9 I: R$ c; z
}
: {0 N" {- j, h H: Q. k& U; P else if (token.trim().charAt(0) == ')')
; X: E! C8 C; | H/ U2 y { b& o6 e" y8 n, j# a% G. N
// Process all the operators in the stack until seeing '('
' |6 P0 w* g6 g. J/ H while (!operatorStack.peek().equals('('))0 \( |. v, {- `! ?3 @
{
: _6 }, G2 `8 X# f processAnOperator(operandStack, operatorStack);2 H& I! n( K* S. [! L+ V3 q
}
! e0 n7 ?7 n; J- l. R- } operatorStack.pop(); // Pop the '(' symbol from the stack1 \2 X& s: i2 c
}
5 _: ^1 E: {5 S, a# S: P% d5 V; H else
) u# R! ^' Q* N; g2 h, l {5 L" @8 U" W# D9 u
// An operand scanned5 @: ]" n q2 i0 u6 Z
// Push an operand to the stack
- s. m8 o! R) k5 |5 A0 A5 s! ]9 _ [ operandStack.push(new Integer(token));
- y% n; Q4 Q1 ?4 Y$ J }0 {- j$ j0 [1 A2 ~$ ^9 y5 i' ?
}
' z; M& D- Y6 J% }0 p# c 9 y: b$ j1 r" Q& k7 B3 l" i- J! _
// Phase 2: process all the remaining operators in the stack! y* T7 J, e! V0 V( h4 T
while (!operatorStack.isEmpty())! ]8 z* T0 z; Z; q2 W# Z
{
3 S- m8 t% H' X9 }5 A" x- S processAnOperator(operandStack, operatorStack);
/ s3 I0 x2 c* X2 q% X }
$ s4 P. r+ S1 f6 h& ?5 n # Q. I- J. W& G
// Return the result
8 B0 ^0 @* h# |1 W* L7 ^8 } return ((Integer)(operandStack.pop())).intValue();4 S3 i8 t Z: e8 d" G
}
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$ L# X E) J2 v2 p% Z public static void processAnOperator(java.util.Stack operandStack,java.util.Stack operatorStack)
; v" I b' {, K7 X {
* N1 y+ c3 G) Z$ p0 z if (operatorStack.peek().equals('+'))
9 J- H/ E4 F- `. v8 M5 B {: S6 q8 { L6 b8 Q- J! x6 S
operatorStack.pop();1 q/ z; F. J9 a, r" Q; l* y# r
int op1 = ((Integer)(operandStack.pop())).intValue();1 a" n3 p8 [( l9 b# I( J( K7 k
int op2 = ((Integer)(operandStack.pop())).intValue();: e9 j2 q3 H! S' r5 p+ ~# P
operandStack.push(new Integer(op2 + op1));, P6 P' c/ k5 q. y1 j- e
}0 y ]; ?6 Y+ [3 f* H3 M% p2 f
else if (operatorStack.peek().equals('-'))
) E8 }) V A! |6 j {3 j% E5 G* K) Y' y4 K& G& |
operatorStack.pop();9 K" e# R% C; x9 w J! `4 S; \
int op1 = ((Integer)(operandStack.pop())).intValue(); d4 _: w1 C% f7 h- b1 l5 Z) S
int op2 = ((Integer)(operandStack.pop())).intValue();9 {# b8 u7 M& N" V! Y0 x
operandStack.push(new Integer(op2 - op1));- \ Z7 H# ]+ K
}2 u, l, C, u$ d7 K0 h) }0 H
else if (operatorStack.peek().equals('*'))
* @+ a: \ `+ a' r {. b y* f7 s# y+ J
operatorStack.pop();
2 L; n- T8 N0 W& @0 u! J int op1 = ((Integer)(operandStack.pop())).intValue();2 Z! ] Q- B' t- k7 S j1 I
int op2 = ((Integer)(operandStack.pop())).intValue();; Y* @0 H) U! t8 @
operandStack.push(new Integer(op2 * op1));
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else if (operatorStack.peek().equals('/'))
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operatorStack.pop();( Q, S0 O+ v% b: |' L# c
int op1 = ((Integer)(operandStack.pop())).intValue();
8 |- q, l1 [" n Y e" [ int op2 = ((Integer)(operandStack.pop())).intValue();
. y \- `' @5 k8 F4 X operandStack.push(new Integer(op2 / op1));4 J7 D" u% o( c" A8 l
}
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. R9 B( S, o$ @; j H! u- y5 K class ImagePanel extends JPanel& I% [# B) u4 f" T6 M8 c0 w
{# V' f* q* X+ {% ~2 D- S* c3 S
public void sshow(); U2 b( t( V7 M
{5 z+ y4 u9 K) }8 A- n
int i;
- T0 w" ^/ H& s for(i = 0;i < 4;i++)! k4 w5 o0 ]7 R- e9 @
{
0 p& }5 B+ K' d: W2 T! w; _ card[i] = (int)(1 + Math.random() * 52);
5 S) o- r. g9 ~ }
6 V# M1 ~, C* O% X* ?" R+ S repaint();' g4 P E% M7 Z, p* j, B- ^
}& e0 _6 Y; S) U3 Y
$ `' L8 h6 ]: j: q protected void paintComponent(Graphics g)( w/ p ~% i* Y: V3 i; U% E1 e
{
1 [% ]+ ~8 z F8 o% W. P/ H super.paintComponent(g);7 y/ Z% o, X% C3 R: \' N2 D
int i;' m, @7 o$ D/ r7 U
int w = getWidth() / 4;+ T8 l& J% k& R9 Z3 u+ b8 W* S
int h = getHeight();
* ]* L4 F% c1 L int x = 0;2 [( j8 i5 Z' |; U+ J/ R
int y = 0;
& V1 T! s% v7 M4 o% C2 v# Y# g for(i = 0;i < 4;i++)
& t, v i+ I5 J ~" | {
4 |( }2 [* W5 G7 J7 Z$ G ImageIcon imageIcon = new ImageIcon("image/card/" + card[i] + ".png");
6 t0 t+ ~. g$ x) @ Image image = imageIcon.getImage();+ Y# w. B; k+ c, d9 _
if(image != null)' w& o: M' c \( c a5 }
{/ x% ^9 q4 f' E, A7 L1 B* k6 |
g.drawImage(image,x,y,w,h,this);/ I. l8 l# T; G% L
}
# f& m( l; A, v9 u3 V x += w;
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}! H' Y/ T4 n; x3 d' L5 w" e# h
}1 _- W! n1 s" v! `( L1 w
. z) Q$ `; |5 c public static void main(String[] args)
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TwentyFourPoke_Game frame = new TwentyFourPoke_Game();/ t+ a. Q( b' y. |1 w0 n- ^' E& S
frame.setTitle("24 Poke Game");
. ~3 E' [- E9 J6 }7 q frame.setLocationRelativeTo(null);
7 w- e X* N0 `- s5 v& {. h frame.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);/ ?. D1 j8 d& ?2 S% P
frame.setSize(368,200);
6 ~; |2 v [3 l% p6 W frame.setVisible(true);& C& b7 w9 D" x$ { Z
}
+ [1 L N0 l) m g8 j } 复制代码
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