מינימום פלחים בתצוגת שבעה פלחים
ניתן להשתמש בתצוגה בת שבעה מקטעים להצגת מספרים. נתון מערך של נ מספרים טבעיים. המשימה היא למצוא את המספר במערך שמשתמש במספר המינימלי של מקטעים כדי להציג את המספר. אם למספרים מרובים יש מספר מינימלי של קטעים פלט את המספר בעל האינדקס הקטן ביותר.
דוגמאות:
קלט: arr[] = { 1 2 3 4 5 }.
פלט: 1
הֶסבֵּר: האלמנט שמשתמש במספר המינימלי של מקטעים הוא 1 (כלומר 2 מקטעים)קלט: arr[] = { 489 206 745 123 756 }.
פלט: 745
הֶסבֵּר: האלמנט עם האינדקס הקטן ביותר שמשתמש במספר המינימלי של מקטעים הוא 745 (כלומר 12 מקטעים)
הרעיון הוא לחשב מראש את מספר הקטעים המשמשים את הספרות מ-0 עד 9 ולאחסן אותו. כעת עבור כל רכיב של המערך סכום את מספר הקטע המשמש כל ספרה. לאחר מכן מצא את האלמנט שמשתמש במספר המינימלי של מקטעים.
C++מספר הקטע בשימוש לפי ספרה:
0 -> 6
1 -> 2
2 -> 5
3 -> 5
4 -> 4
5 -> 5
6 -> 6
7 -> 3
8 -> 7
9 -> 6
#include using namespace std ; // Precomputed values of segment used by digit 0 to 9. const int seg [ 10 ] = { 6 2 5 5 4 5 6 3 7 6 }; // Return the number of segments used by x. int computeSegment ( int x ) { if ( x == 0 ) return seg [ 0 ]; int count = 0 ; // Finding sum of the segment used by // each digit of a number. while ( x ) { count += seg [ x % 10 ]; x /= 10 ; } return count ; } int elementMinSegment ( vector < int > arr int n ) { // Initialising the minimum segment and minimum // number index. int minseg = computeSegment ( arr [ 0 ]); int minindex = 0 ; // Finding and comparing segment used // by each number arr[i]. for ( int i = 1 ; i < n ; i ++ ) { int temp = computeSegment ( arr [ i ]); // If arr[i] used less segment then update // minimum segment and minimum number. if ( temp < minseg ) { minseg = temp ; minindex = i ; } } return arr [ minindex ]; } int main () { vector < int > arr = { 489 206 745 123 756 }; int n = arr . size (); cout < < elementMinSegment ( arr n ) < < endl ; return 0 ; }
Java import java.io.* ; class GFG { // Precomputed values of segment // used by digit 0 to 9. static int [] seg = { 6 2 5 5 4 5 6 3 7 6 }; // Return the number of segments used by x. static int computeSegment ( int x ) { if ( x == 0 ) return seg [ 0 ] ; int count = 0 ; // Finding sum of the segment used by // each digit of a number. while ( x > 0 ) { count += seg [ x % 10 ] ; x /= 10 ; } return count ; } static int elementMinSegment ( int [] arr int n ) { // Initialising the minimum segment // and minimum number index. int minseg = computeSegment ( arr [ 0 ] ); int minindex = 0 ; // Finding and comparing segment used // by each number arr[i]. for ( int i = 1 ; i < n ; i ++ ) { int temp = computeSegment ( arr [ i ] ); // If arr[i] used less segment then update // minimum segment and minimum number. if ( temp < minseg ) { minseg = temp ; minindex = i ; } } return arr [ minindex ] ; } static public void main ( String [] args ) { int [] arr = { 489 206 745 123 756 }; int n = arr . length ; System . out . println ( elementMinSegment ( arr n )); } }
Python # Precomputed values of segment # used by digit 0 to 9. seg = [ 6 2 5 5 4 5 6 3 7 6 ] # Return the number of # segments used by x. def computeSegment ( x ): if ( x == 0 ): return seg [ 0 ] count = 0 # Finding sum of the segment # used by each digit of a number. while ( x ): count += seg [ x % 10 ] x = x // 10 return count # function to return minimum sum index def elementMinSegment ( arr n ): # Initialising the minimum # segment and minimum number index. minseg = computeSegment ( arr [ 0 ]) minindex = 0 # Finding and comparing segment # used by each number arr[i]. for i in range ( 1 n ): temp = computeSegment ( arr [ i ]) # If arr[i] used less segment # then update minimum segment # and minimum number. if ( temp < minseg ): minseg = temp minindex = i return arr [ minindex ] # Driver Code arr = [ 489 206 745 123 756 ] n = len ( arr ) # function print required answer print ( elementMinSegment ( arr n )) # This code is contributed by # Sanjit_Prasad
C# using System ; class GFG { // Precomputed values of segment // used by digit 0 to 9. static int [] seg = new int [ 10 ]{ 6 2 5 5 4 5 6 3 7 6 }; // Return the number of segments used by x. static int computeSegment ( int x ) { if ( x == 0 ) return seg [ 0 ]; int count = 0 ; // Finding sum of the segment used by // each digit of a number. while ( x > 0 ) { count += seg [ x % 10 ]; x /= 10 ; } return count ; } static int elementMinSegment ( int [] arr int n ) { // Initialising the minimum segment // and minimum number index. int minseg = computeSegment ( arr [ 0 ]); int minindex = 0 ; // Finding and comparing segment used // by each number arr[i]. for ( int i = 1 ; i < n ; i ++ ) { int temp = computeSegment ( arr [ i ]); // If arr[i] used less segment then update // minimum segment and minimum number. if ( temp < minseg ) { minseg = temp ; minindex = i ; } } return arr [ minindex ]; } static public void Main () { int [] arr = { 489 206 745 123 756 }; int n = arr . Length ; Console . WriteLine ( elementMinSegment ( arr n )); } }
JavaScript // Precomputed values of segment // used by digit 0 to 9. let seg = [ 6 2 5 5 4 5 6 3 7 6 ]; // Return the number of segments used by x. function computeSegment ( x ) { if ( x == 0 ) return seg [ 0 ]; let count = 0 ; // Finding sum of the segment used by // each digit of a number. while ( x > 0 ) { count += seg [ x % 10 ]; x = parseInt ( x / 10 10 ); } return count ; } function elementMinSegment ( arr n ) { // Initialising the minimum segment // and minimum number index. let minseg = computeSegment ( arr [ 0 ]); let minindex = 0 ; // Finding and comparing segment used // by each number arr[i]. for ( let i = 1 ; i < n ; i ++ ) { let temp = computeSegment ( arr [ i ]); // If arr[i] used less segment then update // minimum segment and minimum number. if ( temp < minseg ) { minseg = temp ; minindex = i ; } } return arr [ minindex ]; } // Driver code let arr = [ 489 206 745 123 756 ]; let n = arr . length ; console . log ( elementMinSegment ( arr n ));
תְפוּקָה
745
מורכבות זמן: O(n * log 10 נ)
מרחב עזר: O(10)
