用matlab写一个输入已知100个节点和输入以知的节点间173个连接顺序，生成173个路线，在已知的一百个节点里选择三个节点，在 173个路线里挑选路线使其他节点到这三个节点其中之一的距离总和最短并用不同颜色标记其他节点到这三个不同节点的路线并做图的代码

以下是用MATLAB实现上述要求的代码：

% 输入节点和连接顺序
nodes = 100; % 已知的节点数
connections = 173; % 连接顺序数
connection_order = randperm(nodes, connections); % 随机生成连接顺序

% 生成路线
routes = zeros(connections, 2);
for i = 1:connections
    if connection_order(i) == 1
        routes(i, :) = [1, randperm(nodes-1, 1)+1];
    elseif connection_order(i) == nodes
        routes(i, :) = [randperm(nodes-1, 1)+1, nodes];
    else
        routes(i, :) = [randperm(nodes-2, 1)+1, randperm(setdiff(2:nodes-1, routes(i, 1)), 1)+1];
    end
end

% 选择三个节点
selected_nodes = randperm(nodes, 3);

% 计算其他节点到三个节点的距离
distances = zeros(nodes, 3);
for i = 1:nodes
    for j = 1:3
        distances(i, j) = min([abs(routes(:,1)-selected_nodes(j)==0 & routes(:,2)-i==0), ...
            abs(routes(:,2)-selected_nodes(j)==0 & routes(:,1)-i==0)])*...
            abs(i-selected_nodes(j));
    end
end

% 挑选距离总和最短的路线
[~, selected_route_idx] = min(sum(distances, 2));
selected_route = routes(selected_route_idx, :);

% 绘制图形
figure
hold on
for i = 1:nodes
    if i == selected_nodes(1)
        plot(i, 0, 'ro', 'MarkerSize', 7, 'MarkerFaceColor', 'r')
    elseif i == selected_nodes(2)
        plot(i, 0, 'go', 'MarkerSize', 7, 'MarkerFaceColor', 'g')
    elseif i == selected_nodes(3)
        plot(i, 0, 'bo', 'MarkerSize', 7, 'MarkerFaceColor', 'b')
    else
        [~, route_idx] = min([abs(routes(:,1)-selected_nodes(1)==0 & routes(:,2)-i==0), ...
            abs(routes(:,2)-selected_nodes(1)==0 & routes(:,1)-i==0)])*...
            abs(i-selected_nodes(1));
        if route_idx == selected_route_idx
            plot(i, 0, 'ko', 'MarkerSize', 5, 'MarkerFaceColor', 'k')
        elseif distances(i,1) < distances(i,2) && distances(i,1) < distances(i,3)
            plot(i, 0, 'ro', 'MarkerSize', 5)
        elseif distances(i,2) < distances(i,1) && distances(i,2) < distances(i,3)
            plot(i, 0, 'go', 'MarkerSize', 5)
        else
            plot(i, 0, 'bo', 'MarkerSize', 5)
        end
    end
end
for i = 1:connections
    if ismember(routes(i,:), selected_route, 'rows')
        plot(routes(i,:), [0,0], 'r', 'LineWidth', 1.5)
    else
        plot(routes(i,:), [0,0], 'k', 'LineWidth', 0.5)
    end
end
xlim([0, nodes+1])
ylim([-1, 1])
xlabel('Node Number')
title('Routes and Distances')
legend('Selected Node 1', 'Selected Node 2', 'Selected Node 3', ...
    'Distance to Node 1 Shortest', 'Distance to Node 2 Shortest', 'Distance to Node 3 Shortest', ...
    'Other Nodes on Selected Route', 'Other Nodes on Other Routes')
hold off

这段代码生成100个节点和173个连接顺序，然后生成173个路线。然后从这100个节点中选择3个节点，并计算其他节点到这三个节点的距离。接下来，该代码选择了使其他节点到这三个节点其中之一的距离总和最短的路线，并用不同颜色标记其他节点到这三个不同节点的路线，并绘制图形。