有n個(gè)格子,從左到右放成一排,編號(hào)為1-n。
共有m次操作,有3種操作類型:
1.修改一個(gè)格子的權(quán)值,
2.求連續(xù)一段格子權(quán)值和,
3.求連續(xù)一段格子的最大值。
對(duì)于每個(gè)2、3操作輸出你所求出的結(jié)果。
輸入格式第一行2個(gè)整數(shù)n,m。
接下來(lái)一行n個(gè)整數(shù)表示n個(gè)格子的初始權(quán)值。
接下來(lái)m行,每行3個(gè)整數(shù)p,x,y,p表示操作類型,p=1時(shí)表示修改格子x的權(quán)值為y,p=2時(shí)表示求區(qū)間[x,y]內(nèi)格子權(quán)值和,p=3時(shí)表示求區(qū)間[x,y]內(nèi)格子最大的權(quán)值。
輸出格式有若干行,行數(shù)等于p=2或3的操作總數(shù)。
每行1個(gè)整數(shù),對(duì)應(yīng)了每個(gè)p=2或3操作的結(jié)果。
樣例輸入4 31 2 3 42 1 31 4 33 1 4 樣例輸出63 數(shù)據(jù)規(guī)模與約定對(duì)于20%的數(shù)據(jù)n <= 100,m <= 200。
對(duì)于50%的數(shù)據(jù)n <= 5000,m <= 5000。
對(duì)于100%的數(shù)據(jù)1 <= n <= 100000,m <= 100000,0 <= 格子權(quán)值 <= 10000。
直接貼上代碼:
#include<iostream>#define MAX 100000using namespace std;struct seg_TreeNode{ int low, high;//區(qū)間左右端點(diǎn) int value, max;//value在葉子節(jié)點(diǎn)表示權(quán)值,非葉子節(jié)點(diǎn)表示區(qū)間權(quán)值和,max表示區(qū)間內(nèi)最大值}tree[4*MAX];void initTree(int num,int low, int high){ if(low==high) { tree[num].low = tree[num].high = low; cin >> tree[num].value; tree[num].max =tree[num].value; return; } tree[num].low = low; tree[num].high = high; int mid = (low + high) >> 1; initTree(2 * num, low, mid); initTree(2 * num+1, mid+1,high); tree[num].max = tree[num * 2].max > tree[num * 2 + 1].max ? tree[num * 2].max : tree[num * 2 + 1].max; tree[num].value = tree[num * 2].value + tree[num * 2 + 1].value;//此處線段樹建立采用后續(xù)遍歷,因?yàn)閰^(qū)間的權(quán)值和需要知道左區(qū)間和右區(qū)間的權(quán)值和。}void update(int num, int x, int y){ if (tree[num].low == tree[num].high) { tree[num].value = y; tree[num].max = y; return; } int mid = tree[num * 2].high; if (mid >= x) update(num * 2, x, y); if (mid < x) update(num * 2 + 1, x, y); tree[num].value = tree[num * 2].value + tree[num * 2 + 1].value; tree[num].max = tree[num*2].max < tree[num*2+1].max ? tree[num*2+1].max: tree[num*2].max; return;}int query1(int num, int low, int high)//最大值{ if (tree[num].low == low&&tree[num].high == high) return tree[num].max; int mid = tree[num * 2].high; if (mid >= high) return query1(num * 2, low, high); if (mid < low) return query1(num * 2 + 1, low, high); int le=query1(num * 2, low, mid); int ri=query1(num * 2 + 1, mid + 1, high); return le > ri?le:ri;}int query2(int num, int low, int high)//區(qū)間和{ if (tree[num].low == low&&tree[num].high == high) return tree[num].value; int mid = tree[num * 2].high; if (mid >= high) return query2(num * 2, low, high); if (mid < low) return query2(num * 2 + 1, low, high); int le = query2(num * 2, low, mid); int ri = query2(num * 2 + 1, mid + 1, high); return le+ri;}int main(){ int a, b, c; int m, n; cin >> m >> n; initTree(1, 1, m); for (int i = 0;i < n;i++) { cin >> a >> b >> c; switch (a) { case 1:update(1, b, c);break; case 2:cout<<query2(1, b, c)<<endl;break; case 3:cout<<query1(1, b, c)<<endl;break; } } return 0;}
新聞熱點(diǎn)
疑難解答
圖片精選
網(wǎng)友關(guān)注