Problem 3042. Fill-a-pix - Solution Checker

Created by goc3

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.gif"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId2","target":"/media/image2.gif"}],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:hyperlink w:docLocation=\"http://www.conceptispuzzles.com/index.aspx?uri=puzzle/fill-a-pix/rules\"><w:r><w:t>Fill-a-pix</w:t></w:r></w:hyperlink><w:r><w:t> is a logic puzzle game similar to Pic-a-Pix (aka Logic art) and Minesweeper. An example starting board is shown below on the left with the completed board shown to its right. Each number in the board indicates how many surrounding cells, including itself, are to be filled in. There are (up to) nine total cells associated with each number: four immediately adjacent (up, down, left, and right), four diagonally adjacent (one touching each corner), and the central cell (where the number is located).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Based on this logic, all 0's and 9's are determinant, as all nine cells are either empty or filled, respectively, for these numbers. Also, all 6's on the board edges and 4's in the corners should be completely filled in, as they only involve 6 or 4 cells, respectively.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId2\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For this problem, you will be provided with various boards and solutions to each board. Write a function to determine if the solution is correct for the given board. The board will be filled with NaN's where there are no number clues; these cells should not be checked. The solution board will be filled with 1's (filled) and 0's (empty).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A related problem is</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/3043-fill-a-pix-solver-basic\"><w:r><w:t>Fill-a-pix - Solver (basic)</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"},{"partUri":"/media/image1.gif","contentType":"image/gif","content":"data:image/gif;base64,R0lGODlhlACUAPcAAP///5KSkvz8/N3d3RISErS0tISEhOrq6u3t7UJCQqqqqsLCwszMzOfn55CQkP39/X5+fvn5+eHh4d7e3rKystra2hAQEL+/v1NTU2dnZxMTE5WVlZmZmZycnNvb24eHh0tLS8vLy3JycvT09A0NDfj4+M3NzYiIiPHx8ezs7O7u7uXl5ZaWloqKikVFRby8vPX19fLy8srKyrq6uqioqPPz8/7+/peXl11dXSMjI3V1dW9vb/r6+kFBQevr60RERBEREQ8PD7e3t+Tk5N/f35iYmImJidDQ0IKCgq2trTk5OQ4ODicnJygoKJOTkwkJCYaGhqenp8TExAoKCiIiIjIyMhsbG39/f7GxsbCwsHNzc/Dw8NXV1RYWFiYmJuPj44ODgxUVFQAAAKOjo+/v77u7u5ubm9fX16WlpcfHx3R0dMjIyLm5uTExMcDAwM/PzxwcHG1tbUNDQzg4OHFxcSQkJCUlJWFhYRoaGuDg4AwMDAgICHZ2dltbWwICAtbW1s7Ozubm5oWFhRQUFDU1NTc3N3h4eL6+vqmpqXx8fFhYWC8vL/f39wsLC2BgYCsrK9nZ2WlpaXt7ey4uLioqKq+vr0ZGRh4eHuLi4vv7+8bGxlJSUh0dHZ6enikpKVxcXCwsLGpqamRkZNPT0yEhIcPDw6GhoZ+fn8XFxZSUlHl5eTMzM/b29tTU1KysrFdXV6ampj09PXp6eri4uDs7O0dHR0xMTGxsbGtrayAgINjY2IyMjG5ubrW1tR8fH8nJyRgYGL29vT8/Py0tLTo6OlpaWtHR0TAwMEhISBkZGQYGBmhoaHd3d0pKSqKioo6OjlBQUBcXF9LS0tzc3AEBAUBAQGVlZY+Pj7a2tsHBwVZWVpGRkU9PT1FRUWJiYp2dnaCgoIGBgbOzs2ZmZk1NTU5OTklJSVVVVV5eXjQ0NH19fY2NjT4+PmNjY+jo6K6urllZWQUFBTw8PAQEBJqamjY2NnBwcICAgKurq1RUVAcHB19fXwAAAAAAAAAAAAAAACH5BAAAAAAALAAAAACUAJQAAAj/AAEIHEiwoMGDCBMqXMiwocOHECNKnEixosWLGDNq3MixI8McBEKKHEmypMmTKFOqXMmypcuXI3MYJEENyMopFlY+YblTpYUpK3+uJEFi5ZIlN3Oq1GNTZTwSBgkAmYagqtWrVU+YwMr1gKQDXLF6BRvWqokTZa+eTWs1ShS2VQscgotAK91OkOjGIhCVQAyGGyQw/NCQ8EIJGxgiZihECENNRwALXphEBUM5fAuGRMAwwICFAgwIAC164YAADE8zLFCA4QIGnT8TTDN5oIIDDBNkJrg5NunRCkMDT6jaNOqFrF3DXuiZ4C0LVhYQvJ1798DezGUnFP7beOrjCpMv/3ztW+C0RqN4QZuOe6Huvpyzdw9eWmFx++ATildIXr5AGlQAYEoh7FUHX3nb1ZfgcAjdR1x+CO2XUH8KNSfQKZQAAMswBbpnnUDYVagdQtzRx+BBDjYI4UESIkRhQhYCAA4TAIxRRYcKvacZAfGJON+C3gUZXmvjLeejQGkswcguLuCYkI688YggiQpSeaJBKaK4okEtHvQiQjE+0MMjXRThJEJQXielf0CaKOSDqxHJn5EwjpiCEVgURJ2HB7Jp5Y8qfhenclMitGeOHwJAgAYlMMRBAwy10JCkCzXAAUOWMvTCCwyFwIWjkC5EAQwMuZAoAVN8EMCqrLa6KgYQuP8qqwMgOCCrq7TaeiurEGCwa6u9/spqBhkIu+oOahgbAKzK3gGFsl6caoEJA1Rr7bXVQnABttxWIEIF3GLrLbjhWnsBBOVee2661nbQAbvV0pAFvANoS68TMtCrxKl+STZYYYoldpjACjX2WGQLBcZQZZfx22OdBEWwBhkElShQCr/YUHGVWhYECcIDZcmlnAKZMEFBXx4UY0KHPukwgikQAwQTZwxksQl1ANFMDTZzjGV+zpAwjxYaCyRyQRLSQYIGsxCUskErG9oeon0eKSAeKCRwS8/DebMJGUBUwrWQMOjhgBtPTBPylkjLWUEjb4Axh9N0gjmi1Abu+LDdA63/0QQaxEQxtkAssDPGJDULZHGgArHyzQhbNPKp0WwTtF8SdQAghR08DPR0QVEf1DKaL7PpQxNdEACyxQxYEAYhKQwOJ0E2/EAII2sPKhAij2ieAyue163y3aJP7XLVEAukwxwwfNKN7OVEUkMOicjOuEA82DLJCgQdbbmciNAoRR0RBF9o8XlHuffwA1nTJC/kyP6DLABMwof1HQ9ERxit+JBJ7siRkwwagYJTcMh8fsIbn/SGoDQAoQoaEIfsOhGENuTAA/j72UBUoAw/TGEKfwDgkAZiA2iQQgNmoNv5DDK6g6QJRGuyGgCM8YE0bIxBZTDCF24oJEZcoAxsmAHP/yinO4HUYBuuQJnwoEY8FhqPdH2xDHNOppAHGOABC7EiFhUygcoNpItFnJAJOkNFhSjAB+lT0wEEwMY2upGNDvDAG+cYATBEYI5vrOMd8dhGDziAj270IyDbSAEKDJKNbpDBIQUQx0XSoAGL7MGpniALA1jykpi0JAhEkMlOIuEHSOhkJj8ZSlFeUgQgMCUmUanKS+IAB620pCgiEUsDbLKWilBFLanArzUespGD1OMhhTlIQR7SmIMs5CITuUhgDvKRkeSXFCtURoRoMYtXXAgYtelFgXTJIAsY4xQZcsY0wvBhLNCBDmZAkNAVZHHZaAEmeIgfQQWQUAlE3wLVN/8QBGigCZQgGADcSU8AJMECkyAF9xTns4J4T4T6IZmLlgi6JurpiS4sHQC40CQm/qgP7QBAFxCRQYd2EwAP9aZEvUTRdlr0TBmtWjC6YAlHjMClP6LAIjJAi1ABYHH5q+c9i7TCi5pTUTGUAjICAIz7DYSgsksCHH7AhFGUtHsnTSkAvqnEosLUIC9Eao/+BwB1eAKnbhKIHMIBgDbE4aoQvV5E8SlDBVKNgQIZQy0aIIdioLVNAACBI1bgC0HAlYhvitBKwdnSp77UNhgFq0YHcIww2KGaUGXocNhgBQL0oEdA1WBiWbTYrubTiUcNEQBKkAYUVBRQ7ljDFjU7WtH/jpCopzXqPtU0TRhV8yDXrGI2uXjSbd6WP+KkJjnRuFsY+nKQzuQjMQE5XT4iE5DX5aMyD8nMX8rxkNA8pCSjQsla3rKVpIxlelvJyli2t5WvrOUszcvJWOZyl71s5nepa8dh9reYfzxmgJNpSO4q0ruOhKR4pUlGbM7WmsNNiHElfFKuOi25vl1uamOYPMD+Sagg/qkZilC+gVgYgXXVp0DeAAVAFCSsquVbWj0c1NkJZAd66IILSrzV0qowtziCBAlysYRgEATGHJYxjQ0SWpPaEwAoGEQ2ziCGEKqUrh1m2dSuUAgb1EILR9Zolg/S5ILK9Xo8aAUA3OAHIpjY/8coHrOKMTEEABADAmFGnpI/vGQnJ1YXeghF0XqM5T3bVSC40EMF8ozXFL+zoWausVwnQAo6tK3Q7FtIy+JABRczmp9Apu2MzxzUB7jgErMQx1+ujFtH6xYAhxBDImaROIEgeX0eHTWZIR3XoPoADhp4AgmsTOhWyxm1AkkEEIKwBwN8Wk24fq2umcxrxIL4AVVJAQKGc2KBfO6vWh5IDRCQghQAbyBIXrVCFLYQw7Q7YPBeiMEWAhl/Uaa3CMFMVKZFL3uxa1zwAji71gUvgrPLXfSSV7+3BS986etUqVIWs4SVK2NVXFjBMlbGhUUsZSFL4rEylrOgdSpGgSpSk//C1KUqtXKFbKpTk1PIoxgyqlKJ2dDUvtKjdY7VJ8/V2DhH9l1BPRAOwELafY60bQXyAD5QoOcDmcEcqtAD17JaILrAwGB/7OqvvlijgbiCGHSAdD6bXdKIEINTrQ0ALSiBDjq46dVZAQptVAMDXD/2q4/X6DdsYgnVA/eueX5YlOZHAC5ogiGgLpB9KGBkA2EDHB4AA58C4NuOJWdkv67nVYBZ8DkHVI3HcIVPfJ7thbACHAz7ZtsMIh11YEPeg753KDZaIG1QQ9kHL3rbxmARXMjHLWbrIBb0ohN+mOfVEfGEMjCjCbPFvEAyK5AWSlbPud996KftZwAQwQKU0AP/AWp9nwjkAQCBUAbI9uMKUADgCJxolLcbO/3HVn/zzz5nQZjAC+3vvPfdxwN/AAhzcA6kYm01gAcQcAVAME37EQjAwAI4MAeDJn0DZX8AYH2cd3sAMA5mAnr/x32MNxBX0HKGRxC9UAeUUAbfQxCwcAnpYFVxRntel39i5VWilnS9tnQAkAkn0iI8NoOZZkb4h278om4JwW4K4W5LGG8KsRjy5hj0BjJJWBsJwTALoW+awW/w4m/pInBf+C0Fhy5jSC8IBy8K14UMxy4OBy/7EhURZywT9ysXR4e1onG+gofK0nHG8nFyGHLCMnLGEi1RYXILMXMLQSmJqHKMuBAv/7cQnnJyonKACmEqejaEZ7d9NraJioVpuUaEGxZt4HYKlvABg1ZmhadV95EHUzcHwqALrRd5lhAKcjd/OHh/BDEGlpAIVmdrNzeEb7AHz0EDhYeKbHc9gRAHcUAOYoBBVzcBS6AIlLB2l0d/F6h5A9EKe8AMcDAGNhhjQygL1QAAvPAJxVhtJzhar8CE+zEGTQAAqPAIFWiN1JeBU6MFtjACX9CLAHBrCGINjgAASBA/OZiJ3ceJqHAJnROLAFAJGtAAZhB/QviJ4SYQ6EAKudAG52eEl/iJ4xCQSGAL50h4xyhpfeANl2ZEwqABcMAE8leNt2iPA/EKTVABVSAJ3/+YZEMYByAAAHzwCiNZWwe5BWFwCCn5UyogDUkwDNFHjxh4KN6wDABgDaKQk6KYeQLxAiTgCjkAHsb4U+ioivnxBiTwRPsxAJ6QBS4glRPpf68mBINQCaSQH/7oJ5KQDI7wkl/5lWJJEKPQBy95dQ/wDFaADFswe5h4aHSAB+1Qi/34ixQJAJRYkLwXYqQGeQQxmbYYarhIEI7pi4WIOwtRBJaHEIqoEKeJEA3wgQqxmprCKZAYcwlBmgyBBZ95EJaoGSQQBazRm77ZmxnQAb85nBSAAxQwnL9ZnMeJnL3ZARnAnL7pnNDZm1dwBdPJGkbgANdZAMG5nYaABtu5CKf/spvb2Z3TqZzXiZ7TKZ3XyZ7TWZ3bmZ3lKZzX+Z3hWXKiqRC0uYgoVymsmRCu6YiwqRCROJqleRC2aXMd6ZZBSRBDtIMH2YmZyVgxOTq3WZddR5maOAIYkAwZUIt9OVQCcQ1hUAg71JYguHfMYAXNoHygyYGJqYl8lgjHsAC0sAYQOoISCgAh8ARmoAhAiaJYCYoCMQNBcAibQFIcCaORKaOVCQCrYATYsFAlyYOkNRAGBACAwATDYYH1eCgZsAmHoGZWeYt7qSCEgAfAUAeBkKNuenUz8ARpAAFWkJ9e+pRTgwNBwAlBgKNLSnR616AA4An3AAN2wAJvmo7HZQO4/wAHlPAIL3mn2CgQ59ADrFAL9lCmnHmmw1EIpgAAtLAOiapV+xEDR8AD73AMiNmkQrcDfQAAOMCWLwqoNKihIQgA3xANcWABnqaonHilAoEJ0RAKubALq8qgkDUQxqAHcaABSfSn0Gam6Lg4J1ALLDiqFUYypWAOSGBaGdqZu2MJKaSp38qpQqmjwDonFVqEs3odGqCZB3EDVJoQRtAQ9boQK3ADDJGvDDED7LQQvyCDCiGvDJEFSIgQP3AqS1AAC9CwDvuwDbsDNACxFHsBonABFAuxFouxGeuwNLADHfuwHxuyDmsERkCyDesEZoCyCyCxLBsOFMCyVaCwh8AANv97szhrszqABTnbszIQCjLQszn7s0ErtDeLBTpgtDiLtEp7sw7gAE1rs2YwBlHLADtbtSdQBlVLCCV3mwbBAnW2ECfQEGO7EEOAqGaLtgrBBrK3EGsgDQwBtgxRCfyIsJCJrGB5Ip8JVA96jA8QhIqKbeWGAGRVbAMRmJsJABEwuPz4pcazBeUWmBgaqDmIAptgBX3woBaDAs2AB5kLUQvwCL4ADowHCUuwB0GwBG/AkAN1CccgA1zXAnvwBEAQCymKIyPgCXuwB58Krfq3qQqiDoWACsIgHTm4PGlQDZoAUYvAB6egAdN0HzHQC0KwA3gQO1f3BUGgABkgD1wHCeL/MAOxAA+3m6wCQQSLcAjBcKLt+rvlqiDloAW9MK8WswonUADz6iC0wAKowAQUU5JKkAUtKBBD4AvGcAIiOYNE4AkbWX+TCgC/IAxJQGzte4PAOxzcMAhNkANuloOEwAkbXBsO0gFiQA2hoKNJ8I4DLBCK4AdicHQzGAk4gLcyKRDv4Af1QAJSQK6Um7cD8QM6YAN2QD852AQGYANMkAoihAKX0AJYYAHO6Kv9iJMrnAaDUAaJAApdSidkgAcD6sCaNjUpABsJQHa+a8HvOxzQQBiFcHoWQwsdAABKcA0i9AV+sGhdEAIQ5Q6qc5SwYAU8agU89iJYwAmA67hR1zTc/3B6j7mg5evDAgEOwBAJQWAkFtMJYRAHQbC61lYCq0AM2kAF/+ura0ACo3x1posObYB3cSYIN0LDh2IKYiACFkAyk1urkCwQ22AO11qQ1frFDuIDjtANUeyrErANC8m6qGALt+CYL5INaMCqe3cDyCA4PIzL5mqZkpauE+KUD8x3vGGIMnegBpGaptmIrWmCCPGIBCqbCIGIClFzC5GbvBGHwjKHu1KH+XyHGJeH/byHxdKHyfKHzfIsgygt1KKGASeG/8bQ6WJwD02GB/cuaDgvCt1w+eKGR2hvTfgvA+OECTFvClFvCWOFCIGFCqGFtJqYjEAEs5XNAkEGUhCEKf8iAXqsowNw06w7UQUBCIv2yDU8EDHg0tecmDtAAtME00RgB2GwCGHrq2zQBUFQDIXrIAWgARbwCYXbbTA5EBBgARZggohMEH2A1EVNkSGAB13AXLnMZ5/wCiUgCcYgQhFgBzfQAGrQi/dRAl7QAV9AB+rG1RSiCxYACTOgttcYxgQRAo8QDWzdyExadjiwAzkwNTC9CnSACzssQkNAAIZgD21ax1YABSLw2IJtJGNgBx8gCA821gIBAldQ2WeNdFKQAZiQDOoG021ABZ/QCDq9ivrADpZQB4dpbXnwBD3wAzlQ3IbbzQNBD9RQDFQQCUB9KKUgChKQDPx4y0M4Dsj/oAqNEM22WlCe0AkAUA/Gam0SsAchNAjJtYoWEAgHMA+c3Nw8LRD0QAoA4AzuN6QVCavaYAiNIDZnDI6fiAbFkADK4G4w7QKG9QhqK71dEAxbYAFkqqhMzAAT4AfEdtoDUQrxxwKvDMZECgAcAA8KjtjcHZlnEATMDdNuEARVwATs6yDPEAa50A3J7CAnQAB1gAHJ7OECYQPcwNROUN1P1OKnvOK7VwOlkMwwvWYnkL8QogBOkMxS7Aws8GBCLhAjcA0CjOQF4eRYzuSPHOXbbKWYqa6cGdTg7K5eWxA38NQJUbZiyxBDoK9mq+cK4a8M8bYMMedzW7cHkbBRoQed/6AAir7ojK7od+AEjR7pUaAIURDpjT7plW7pi+4Ed6DpjM7pnr7ohmAIoa7o4XACpa4Aj57qdGAGqQ4KpwIEFXAAtF7rtk7rUBACt77rDaAKDbDrt97rvw7stR4CUEDstm7syF7raIAGy07rFFAGz34AuT7tHXAG074XfcHcCZEKHawQrLcQ4Z4QRKDEC1HuDIEN2MAQUtCr3f7tCeEKV6lWd3vm0xqWWZWttCMDDZy4PezmtrfS0iyolxmh6coDmzAIGpAnQkri//3m7tvDaK7mBr/mUpADPoALbXCsYt5caCzx906SUpzmR1kDDdAALqB7DZ/YJQ7xH4/NIX+uif/aIjogBt/A8f59aAEfrRcMgOhK8SsMAykQAbtABVu8rqEorSLPl/leRLPgCxkIB0ff5ho42/a+9PjucztKBoTABEAgqivv2i5v4Hg78RV/9isMAAjwDPjgrf9e9QVOAPimMr9lEMGVEHePEBOm9/o+HhgGJnXPQo+98yDyroE+rwhxrwuh+AnBr/jK5wnh5wArsAlBsAthsAxh6AVBAvEQCwnw+aAf+p/vBUog+qbfA1TQA6Yv+qiv+qsP+krgBa8f+rE/+6A/CZNg+59fBYSg+wlA+r4PCvLg+0AAFQUBEjCR/Mq//Mzf/M0vEx4R/dI//dRf/dZ//dif/dq//RQCERAAOw=="},{"partUri":"/media/image2.gif","contentType":"image/gif","content":"data:image/gif;base64,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"}]}

<a href = "http://www.conceptispuzzles.com/index.aspx?uri=puzzle/fill-a-pix/rules">Fill-a-pix</a> is a logic puzzle game similar to Pic-a-Pix (aka Logic art) and Minesweeper. An example starting board is shown below on the left with the completed board shown to its right. Each number in the board indicates how many surrounding cells, including itself, are to be filled in. There are (up to) nine total cells associated with each number: four immediately adjacent (up, down, left, and right), four diagonally adjacent (one touching each corner), and the central cell (where the number is located).Based on this logic, all 0's and 9's are determinant, as all nine cells are either empty or filled, respectively, for these numbers. Also, all 6's on the board edges and 4's in the corners should be completely filled in, as they only involve 6 or 4 cells, respectively.<img src = "http://www.conceptispuzzles.com/picture/11/1418.gif"><img src = "http://www.conceptispuzzles.com/picture/11/1420.gif">For this problem, you will be provided with various boards and solutions to each board. Write a function to determine if the solution is correct for the given board. The board will be filled with NaN's where there are no number clues; these cells should not be checked. The solution board will be filled with 1's (filled) and 0's (empty).A related problem is <a href = "https://www.mathworks.com/matlabcentral/cody/problems/3043-fill-a-pix-solver-basic">Fill-a-pix - Solver (basic)</a>.

Solve

Solution Stats

26 Solutions
15 Solvers

Last Solution submitted on Apr 03, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Problem Tags

check fill-a-pix game logic mosaic puzzle solution

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 3042. Fill-a-pix - Solution Checker

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 3042. Fill-a-pix - Solution Checker

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers15

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players