// 计算土地的总面积
int calculateTotalArea(int lands[], int start, int end) {
int totalArea = 0;
for (int i = start; i <= end; i++) {
totalArea += lands[i];
}
return totalArea;
}
// 分治算法实现土地分割
int divideLand(int lands[], int start, int end, int numFarmers) {
// 基准情况:剩下一个农民或只剩下一个土地,直接返回剩下的土地的面积
if (numFarmers == 1 |
| start == end) {
return calculateTotalArea(lands, start, end);
}
int minLandArea = INT_MAX;
int minAreaIndex = 0;
// 尝试不同的分割位置,找到总面积最小的分割点
for (int i = start + 1; i <= end; i++) {
int leftArea = calculateTotalArea(lands, start, i - 1);
int rightArea = divideLand(lands, i, end, numFarmers - 1);
int totalArea = (leftArea > rightArea) ? leftArea : rightArea;
if (totalArea < minLandArea) {
minLandArea = totalArea;
minAreaIndex = i;
}
}
return calculateTotalArea(lands, start, minAreaIndex - 1);
}
int main() {
int numFarmers;
printf("请输入农民的数量:");
scanf("%d", &numFarmers);
int numLands;
printf("请输入土地的数量:");
scanf("%d", &numLands);
int lands[numLands];
printf("请输入每块土地的面积:");
for (int i = 0; i < numLands; i++) {
scanf("%d", &lands[i]);
}
int minLandArea = divideLand(lands, 0, numLands - 1, numFarmers);
printf("每个农民得到的最小土地面积为:%d
", minLandArea);
return 0;
}