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static RGBImage scaleDownUsingIntegralImage(IIntegralImage img, int w) {
ret scaleDownUsingIntegralImage(img, w, heightForWidth(img.getWidth(), img.getHeight(), w));
}
static RGBImage scaleDownUsingIntegralImage(IIntegralImage img, int w, int h) {
int w1 = img.w, h1 = img.h;
RGBImage out = new(w, h);
for y to h:
for x to w: {
int x1 = x*w1/w, x2 = max(x1+1, (x+1)*w1/w);
int y1 = y*h1/h, y2 = max(y1+1, (y+1)*h1/h);
int area = (x2-x1)*(y2-y1);
int r = roundedRatio(img.rectSum(x1, y1, x2, y2, 0), area);
int g = roundedRatio(img.rectSum(x1, y1, x2, y2, 1), area);
int b = roundedRatio(img.rectSum(x1, y1, x2, y2, 2), area);
out.setPixel(x, y, r, g, b);
}
ret out;
}