Created
April 25, 2011 09:41
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#include<stdio.h> | |
#include<stdlib.h> | |
int deap[1000005]; | |
int length = 1; | |
int isMaxHeap( int position ) | |
{ | |
while( position > 3 ) | |
position /= 2; | |
return (position == 3); | |
} | |
int maxPartner( int position ) | |
{ | |
/* maxPartner = position + 2^([lg(position)] - 1) */ | |
if( position == 2 ) | |
return 2; | |
int result = position, temp = 1; | |
while( position > 3 ) | |
{ | |
position /= 2; | |
temp *= 2; | |
} | |
result += temp; | |
if( result > length ) return result / 2; | |
return result; | |
} | |
int minPartner( int position ) | |
{ | |
/* minPartner = position - 2^([lg(position)] - 1) */ | |
int result = position, temp = 1; | |
while( position > 3 ) | |
{ | |
position /= 2; | |
temp *= 2; | |
} | |
result -= temp; | |
return result; | |
} | |
void maxInsert( int position, int value ) | |
{ | |
int up = position/2, down = position; | |
while( down > 3 && deap[up] < value ) | |
{ | |
deap[down] = deap[up]; | |
down = up; | |
up = down/2; | |
} | |
deap[down] = value; | |
} | |
void minInsert( int position, int value ) | |
{ | |
int up = position/2, down = position; | |
while( down > 2 && deap[up] > value ) | |
{ | |
deap[down] = deap[up]; | |
down = up; | |
up = down/2; | |
} | |
deap[down] = value; | |
} | |
void insert( int value ) | |
{ | |
length++; | |
if( length == 2 ) | |
{ | |
deap[length] = value; | |
return; | |
} | |
else | |
{ | |
int partner; | |
if( isMaxHeap(length) ) | |
{ | |
partner = minPartner( length ); | |
if( value < deap[partner] ) | |
{ | |
deap[length] = deap[partner]; | |
minInsert( partner, value ); | |
} | |
else | |
maxInsert( length, value ); | |
} | |
else | |
{ | |
partner = maxPartner( length ); | |
if( value > deap[partner] ) | |
{ | |
deap[length] = deap[partner]; | |
maxInsert( partner, value ); | |
} | |
else | |
minInsert( length, value ); | |
} | |
} | |
} | |
int maxDelete() | |
{ | |
int deap_max = deap[3]; | |
int deap_last = deap[length--]; | |
int i, j; | |
for( i = 3, j ; 2*i <= length ; i = j ) | |
{ | |
if( 2*i+1 <= length ) | |
j = ( deap[2*i] > deap[2*i+1] )? 2*i : 2*i+1; | |
else | |
j = 2*i; | |
deap[i] = deap[j]; | |
} | |
int partner = minPartner(i); | |
if( 2*partner <= length ) | |
{ | |
if( 2*partner+1 <= length && deap[2*partner] < deap[2*partner+1] ) | |
partner = 2*partner+1; | |
else | |
partner = 2*partner; | |
} | |
if( deap_last < deap[partner] ) | |
{ | |
deap[i] = deap[partner]; | |
minInsert( partner, deap_last ); | |
} | |
else | |
maxInsert( i, deap_last ); | |
return deap_max; | |
} | |
int minDelete() | |
{ | |
int deap_min = deap[2]; | |
int deap_last = deap[length--]; | |
int i, j; | |
for( i = 2, j ; 2*i <= length ; i = j ) | |
{ | |
if( 2*i+1 <= length ) | |
j = ( deap[2*i] < deap[2*i+1] )? 2*i : 2*i+1; | |
else | |
j = 2*i; | |
deap[i] = deap[j]; | |
} | |
int partner = maxPartner(i); | |
if( deap_last > deap[partner] ) | |
{ | |
deap[i] = deap[partner]; | |
maxInsert( partner, deap_last ); | |
} | |
else | |
minInsert( i, deap_last ); | |
return deap_min; | |
} | |
int main() | |
{ | |
int control, value; | |
while( scanf( "%d", &control ) != EOF ) | |
{ | |
switch( control ) | |
{ | |
case 1: | |
scanf( "%d", &value ); | |
insert(value); | |
break; | |
case 2: | |
if( length == 2 ) | |
printf( "%d\n", minDelete() ); | |
else | |
printf( "%d\n", maxDelete() ); | |
break; | |
case 3: | |
printf( "%d\n", minDelete() ); | |
break; | |
} | |
} | |
return 0; | |
} |
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