how to fill color in white spaces using touch event?

want to fill all white spaces with different color using touch events

Right now i able to fill circles picking colors from picker but how to fill the intigrated part with different color......

-(void) touchesBegan:(NSSet *)touches withEvent:(UIEvent *)event{
    UIColor *cl=[UIColor clearColor];
    UITouch *tuch=[touches anyObject];
    if ([clr isEqualToString:@"Red"]) {
        cl=[UIColor redColor];
    }
    else if ([clr isEqualToString:@"Blue"]) {
        cl=[UIColor blueColor] ;
    }
    else if ([clr isEqualToString:@"Green"]) {
        cl=[UIColor greenColor];
    }


    CGPoint p = [tuch locationInView:self];
    float xsq1=p.x -50;
    xsq1=xsq1*xsq1;
    float ysq1=p.y-110;
    ysq1=ysq1*ysq1;
    float h1 = ABS(sqrt(xsq1 + ysq1));

    float xsq2=p.x -100;
    xsq2=xsq2*xsq2;
    float ysq2=p.y-110;
    ysq2=ysq2*ysq2;
    float h2 = ABS(sqrt(xsq2 + ysq2));

    float xsq3=p.x -50;
    xsq3=xsq3*xsq3;
    float ysq3=p.y-190;
    ysq3=ysq3*ysq3;
    float h3 = ABS(sqrt(xsq3 + ysq3));

    if (h1<=40) {
        NSLog(@"touches inside of first circle");
        CGContextSetFillColorWithColor(context, cl.CGColor);
        CGRect cir1 = CGRectMake(10,266,80,80);
        CGContextFillEllipseInRect(context, cir1);
        [self setNeedsDisplayInRect:cir1];
    }
    else if (h2<=40) {
        NSLog(@"touches inside of second circle");
        CGContextSetFillColorWithColor(context, cl.CGColor);
        CGRect cir2 = CGRectMake(60,266,80,80);
        CGContextFillEllipseInRect(context, cir2);
        [self setNeedsDisplayInRect:cir2];
    }
}