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贪心算法不能用来解决离散物品问题的原因是我们无法将“ 半台电视” 放入背包。 规则是按照物品价值高低顺序放入背包。
function ksack(values, weights, capacity) {
var load = 0;
var i = 0;
var v = 0;
while (load < capacity && i < weights.length) {
if (weights[i] <= (capacity - load)) {
v += values[i];
load += weights[i];
} else {
var r = (capacity - load) / weights[i];
v += r * values[i];
load += weights[i];
}
++i;
}
return v;
}
var items = [ "A", "B", "C", "D" ];
var values = [ 50, 140, 60, 60 ];
var weights = [ 5, 20, 10, 12 ];
var capacity = 30;
document.write(ksack(values, weights, capacity)); // 显示 220