This paper proposes a deep learning architecture based on Residual Network that dynamically adjusts the number of executed layers for the regions of the image. This architecture is end-to-end trainable, deterministic and problem-agnostic. It is therefore applicable without any modifications to a wide range of computer vision problems such as image classification, object detection and image segmentation. We present experimental results showing that this model improves the computational efficiency of ResNet on the challenging ImageNet classification and COCO object detection datasets. Additionally, we evaluate the computation time maps on the image saliency dataset cat2000 and find that they correlate surprisingly well with human eye fixation positions.