【GCJ2016】 round 1A

本文介绍两种算法挑战题目解决方案:一种是构造字典序最大的字符串重组方法;另一种是从一系列递增矩阵中找出缺失的一行。通过具体代码实现,展示了如何高效解决问题。

A:The Last Word

题意是给一个字符串,依次取出一个字母,然后将这些字母组成新串,组合的规则,只能放在当前串的串首或者串尾。求字典序最大的新串。
好简单,直接每次判断新取出的字母与当前组成的串的首字母比,比首字母大加到首部,否则加到尾部。

#include <iostream>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <cstdio>
#include <string>

using namespace std;

int main()
{
    //freopen("A-large.in", "r", stdin);
    //freopen("outAL.txt", "w", stdout);
    int T;
    string str;
    cin >> T;
    for(int i = 1; i <= T; ++ i) {
        cin >> str;
        string ans = "";
        ans += str[0];
        int len = str.size();

        for(int j = 1; j < len; ++ j) {
            if(str[j] >= ans[0]) {
                ans = str[j] + ans;
            }
            else ans = ans + str[j];
        }
        cout << "Case #" << i << ": " << ans << endl;
    }
    //fclose(stdin);
    //fclose(stdout);
    return 0;
}

B. Rank and File

提议是给出一个2 * n - 1行数,其中这些数矩阵中从左往右递增,从上到下依次递增的的矩阵中的行列。
如 :
1 2 3
2 3 5
3 4 6
这样的一个矩阵,那么给出
1 2 3
2 3 5
3 4 6
1 2 3
2 3 4
求出其中没有列出的那一行或那一列数。
细心的人会发现,矩阵中按照这种规则写出的2 * n行数每个数字出现必为偶数。所以只需要对着2 * n - 1用map保存一下,然后找到个数是奇数的数,最后排序下就得到结果了。

#include <iostream>
#include <cstdio>
#include <cmath>
#include <algorithm>
#include <vector>
#include <climits>
#include <unordered_map>

using namespace std;

int main()
{
    //freopen("B-large.in", "r", stdin);
    //freopen("outBL.txt", "w", stdout);
    int n, t;
    cin >> t;
    for(int i = 1; i <= t; ++ i) {
        cin >> n;
        int num;
        unordered_map<int, int> umap;
        for(int j = 0; j < 2*n-1; ++ j)
            for(int k = 0; k < n; ++ k)
            {
                cin >> num;
                umap[num] ++;
            }
        unordered_map<int, int>::iterator itr;
        vector<int> ans;
        for(itr = umap.begin(); itr != umap.end(); ++ itr) {
            if(itr->second & 1) ans.push_back(itr->first);
        }
        sort(ans.begin(), ans.end());
        cout << "Case #" << i << ": " << ans[0];
        for(int j = 1; j < ans.size(); ++ j)
            cout << " " << ans[j];
        cout << endl;
    }
    //fclose(stdin);
    //fclose(stdout);
    return 0;
}
<!DOCTYPE html> <html> <head> <meta charset="utf-8"> <title>百度地图路线规划</title> <style> html, body { height: 100%; margin: 0; font-family: "Microsoft YaHei", sans-serif; } #container { width: 100%; height: 100%; } #routeInfo { position: absolute; top: 10px; right: 10px; background: rgba(255, 255, 255, 0.9); padding: 15px; border-radius: 8px; box-shadow: 0 4px 12px rgba(0,0,0,0.15); z-index: 1000; max-width: 300px; font-size: 14px; line-height: 1.6; } .info-title { font-weight: bold; color: #1a6dca; margin-bottom: 8px; font-size: 16px; } .info-item { margin: 5px 0; padding-left: 15px; position: relative; } .info-item:before { content: "•"; position: absolute; left: 0; color: #e74c3c; } .error-message { color: #e74c3c; font-weight: bold; padding: 8px; background: #ffeeee; border-radius: 4px; margin-top: 8px; } </style> <script src="https://api.map.baidu.com/api?type=webgl&v=1.0&ak=fCmLBx9P4R0Kwcuv4harkGYVnn1iYrwY"></script> <script src="qrc:///qtwebchannel/qwebchannel.js"></script> </head> <body> <div id="container"></div> <div id="routeInfo">路线信息将显示在这里</div> <script> // 百度地图状态常量 const BMAP_STATUS_SUCCESS = 0; var map, geocoder; var transit, driving, walking; var routePolylines = []; // 存储路线覆盖物 var routeMarkers = []; // 存储起点和终点标记 function initMap() { map = new BMapGL.Map("container"); map.centerAndZoom(new BMapGL.Point(116.404, 39.915), 12); map.enableScrollWheelZoom(true); map.setMapType(BMAP_EARTH_MAP); // 使用地球模式 // 添加地图控件 map.addControl(new BMapGL.NavigationControl()); map.addControl(new BMapGL.ScaleControl()); map.addControl(new BMapGL.MapTypeControl()); // 初始化地理编码器和路线规划服务 geocoder = new BMapGL.Geocoder(); initRouteServices(); // 添加地图点击事件 map.addEventListener("click", function(e) { geocoder.getLocation(e.latlng, function(rs) { if (rs && window.qtObject) { const address = rs.address || "未知位置"; addMarker(e.latlng, address); } }); }); } function initRouteServices() { // 公交路线规划 transit = new BMapGL.TransitRoute(map, { renderOptions: { map: map, panel: null }, onSearchComplete: handleTransitComplete, onSearchError: function(error) { handleRouteError(error, '公交'); } }); // 驾车路线规划 driving = new BMapGL.DrivingRoute(map, { renderOptions: { map: map, panel: null }, onSearchComplete: handleDrivingComplete, onSearchError: function(error) { handleRouteError(error, '驾车'); } }); // 步行路线规划 walking = new BMapGL.WalkingRoute(map, { renderOptions: { map: map, panel: null }, onSearchComplete: handleWalkingComplete, onSearchError: function(error) { handleRouteError(error, '步行'); } }); } // 处理公交路线结果 function handleTransitComplete(results) { clearRouteOverlays(); try { // 检查结果状态 if (!results || results.status !== BMAP_STATUS_SUCCESS) { throw new Error("公交路线规划失败"); } const plan = results.getPlan(0); if (!plan) { throw new Error("未找到有效公交路线"); } // 获取路线信息 const distance = plan.getDistance(); // 距离(米) const duration = plan.getDuration(); // 时间(分钟) const transferCount = plan.getNumTransits ? plan.getNumTransits() : 0; // 格式化信息 const info = ` <div class="info-title">公交路线信息</div> <div class="info-item">距离: ${formatDistance(distance)}</div> <div class="info-item">时间: ${formatDuration(duration)}</div> <div class="info-item">换乘: ${transferCount}次</div> `; // 显示信息 document.getElementById('routeInfo').innerHTML = info; if (window.qtObject) qtObject.showRouteInfoSlot(info); // 绘制路线 drawTransitRoute(plan); } catch (error) { handleRouteError(error.message, '公交'); } } // 处理驾车路线结果 function handleDrivingComplete(results) { clearRouteOverlays(); try { if (!results || results.status !== BMAP_STATUS_SUCCESS) { throw new Error("驾车路线规划失败"); } const plan = results.getPlan(0); if (!plan) { throw new Error("未找到有效驾车路线"); } const distance = plan.getDistance(); const duration = plan.getDuration(); const info = ` <div class="info-title">驾车路线信息</div> <div class="info-item">距离: ${formatDistance(distance)}</div> <div class="info-item">时间: ${formatDuration(duration)}</div> <div class="info-item">实时路况: ${plan.traffic ? '已考虑' : '未考虑'}</div> `; document.getElementById('routeInfo').innerHTML = info; if (window.qtObject) qtObject.showRouteInfoSlot(info); drawDrivingRoute(plan); } catch (error) { handleRouteError(error.message, '驾车'); } } // 处理步行路线结果 function handleWalkingComplete(results) { clearRouteOverlays(); try { if (!results || results.status !== BMAP_STATUS_SUCCESS) { throw new Error("步行路线规划失败"); } const plan = results.getPlan(0); if (!plan) { throw new Error("未找到有效步行路线"); } const distance = plan.getDistance(); const duration = plan.getDuration(); const info = ` <div class="info-title">步行路线信息</div> <div class="info-item">距离: ${formatDistance(distance)}</div> <div class="info-item">时间: ${formatDuration(duration)}</div> <div class="info-item">步数: 约${Math.round(distance/0.7)}步</div> `; document.getElementById('routeInfo').innerHTML = info; if (window.qtObject) qtObject.showRouteInfoSlot(info); drawWalkingRoute(plan); } catch (error) { handleRouteError(error.message, '步行'); } } // 绘制公交路线 function drawTransitRoute(plan) { try { // 起点和终点 const startPoint = plan.getStart(); const endPoint = plan.getEnd(); if (startPoint) addMarker(startPoint, "起点"); if (endPoint) addMarker(endPoint, "终点"); if (startPoint && endPoint) { map.setViewport([startPoint, endPoint]); } // 绘制路线 const routes = plan.getRoutes(); for (let i = 0; i < routes.length; i++) { const route = routes[i]; const steps = route.getSteps(); for (let j = 0; j < steps.length; j++) { const step = steps[j]; const path = step.getPath(); if (path && path.length > 0) { const polyline = new BMapGL.Polyline(path, { strokeColor: "#18a45b", strokeWeight: 5, strokeOpacity: 0.8 }); map.addOverlay(polyline); routePolylines.push(polyline); } } } } catch (error) { console.error("绘制公交路线时出错:", error); } } // 绘制驾车路线 function drawDrivingRoute(plan) { try { const startPoint = plan.getStart(); const endPoint = plan.getEnd(); if (startPoint) addMarker(startPoint, "起点"); if (endPoint) addMarker(endPoint, "终点"); if (startPoint && endPoint) { map.setViewport([startPoint, endPoint]); } // 绘制路线 const routes = plan.getRoutes(); for (let i = 0; i < routes.length; i++) { const route = routes[i]; const path = route.getPath(); if (path && path.length > 0) { const polyline = new BMapGL.Polyline(path, { strokeColor: "#1a6dca", strokeWeight: 6, strokeOpacity: 0.9 }); map.addOverlay(polyline); routePolylines.push(polyline); } } } catch (error) { console.error("绘制驾车路线时出错:", error); } } // 绘制步行路线 function drawWalkingRoute(plan) { try { const startPoint = plan.getStart(); const endPoint = plan.getEnd(); if (startPoint) addMarker(startPoint, "起点"); if (endPoint) addMarker(endPoint, "终点"); if (startPoint && endPoint) { map.setViewport([startPoint, endPoint]); } // 绘制路线 const routes = plan.getRoutes(); for (let i = 0; i < routes.length; i++) { const route = routes[i]; const path = route.getPath(); if (path && path.length > 0) { const polyline = new BMapGL.Polyline(path, { strokeColor: "#e74c3c", strokeWeight: 4, strokeOpacity: 0.8 }); map.addOverlay(polyline); routePolylines.push(polyline); } } } catch (error) { console.error("绘制步行路线时出错:", error); } } // 添加标记点 function addMarker(point, title) { if (!point) return; const marker = new BMapGL.Marker(point); map.addOverlay(marker); routeMarkers.push(marker); if (title) { const label = new BMapGL.Label(title, { offset: new BMapGL.Size(20, -10), position: point }); marker.setLabel(label); } } // 清除所有路线覆盖物 function clearRouteOverlays() { // 清除折线 for (let polyline of routePolylines) { map.removeOverlay(polyline); } routePolylines = []; // 清除标记 for (let marker of routeMarkers) { map.removeOverlay(marker); } routeMarkers = []; } // 格式化距离 function formatDistance(meters) { if (!meters || meters <= 0) return "未知"; if (meters < 1000) { return meters + "米"; } else { return (meters / 1000).toFixed(1) + "公里"; } } // 格式化时间 function formatDuration(minutes) { if (!minutes || minutes <= 0) return "未知"; if (minutes < 60) { return minutes + "分钟"; } else { const hours = Math.floor(minutes / 60); const mins = minutes % 60; return hours + "小时" + (mins > 0 ? mins + "分钟" : ""); } } // 处理路线规划错误 function handleRouteError(errorMsg, routeType) { const message = `<div class="error-message">${routeType}路线规划失败: ${errorMsg}</div>`; document.getElementById('routeInfo').innerHTML = message; if (window.qtObject) { qtObject.showRouteErrorSlot(message); } } function geocodeAddress(address) { try { geocoder.getPoint(address, function(point) { if (point && window.qtObject) { qtObject.onLocationFound(point.lng, point.lat); addMarker(point, address); map.panTo(point); } else if (window.qtObject) { qtObject.onLocationNotFound(); } }); } catch (error) { console.error("地理编码时出错:", error); if (window.qtObject) { qtObject.onLocationNotFound(); } } } function routePlanning(start, end, type) { try { if (!start || !end) { handleRouteError("请输入起点和终点地址", "路线规划"); return; } // 地理编码起点和终点 geocoder.getPoint(start, function(startPoint) { if (!startPoint) { handleRouteError(`起点"${start}"解析失败`, "地址解析"); return; } geocoder.getPoint(end, function(endPoint) { if (!endPoint) { handleRouteError(`终点"${end}"解析失败`, "地址解析"); return; } // 清除之前的路线 clearRouteOverlays(); // 添加起点和终点标记 addMarker(startPoint, "起点"); addMarker(endPoint, "终点"); // 坐标转换 const convertor = new BMapGL.Convertor(); const points = [startPoint, endPoint]; convertor.translate(points, 1, 5, function(data) { if (data.status === 0) { const baiduStart = data.points[0]; const baiduEnd = data.points[1]; // 根据类型进行路线规划 switch (type) { case 'transit': transit.search(baiduStart, baiduEnd); break; case 'driving': driving.search(baiduStart, baiduEnd); break; case 'walking': walking.search(baiduStart, baiduEnd); break; } } else { handleRouteError("坐标转换失败", "路线规划"); } }); }); }); } catch (error) { console.error("路线规划请求时出错:", error); handleRouteError("路线规划请求失败: " + error.message, "系统错误"); } } // 初始化QWebChannel document.addEventListener("DOMContentLoaded", function() { try { initMap(); new QWebChannel(qt.webChannelTransport, function(channel) { window.qtObject = channel.objects.qtObject; console.log("Qt WebChannel 初始化成功"); }); } catch (error) { console.error("DOM加载时出错:", error); document.getElementById('routeInfo').innerHTML = `<div class="error-message">地图初始化失败: ${error.message}</div>`; } }); </script> </body> </html> 显示公交路线规划失败: 公交路线规划失败 驾车路线规划失败: 驾车路线规划失败 步行路线规划失败: 步行路线规划失败 怎么修改
06-18
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