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【HDOJ】3727 Jewel

2016-02-15 01:30 381 查看
静态区间第K大值。主席树和划分树都可解。

/* 3727 */
#include <iostream>
#include <sstream>
#include <string>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <vector>
#include <deque>
#include <algorithm>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstring>
#include <climits>
#include <cctype>
#include <cassert>
#include <functional>
#include <iterator>
#include <iomanip>
using namespace std;
//#pragma comment(linker,"/STACK:102400000,1024000")

#define sti                set<int>
#define stpii            set<pair<int, int> >
#define mpii            map<int,int>
#define vi                vector<int>
#define pii                pair<int,int>
#define vpii            vector<pair<int,int> >
#define rep(i, a, n)     for (int i=a;i<n;++i)
#define per(i, a, n)     for (int i=n-1;i>=a;--i)
#define clr                clear
#define pb                 push_back
#define mp                 make_pair
#define fir                first
#define sec                second
#define all(x)             (x).begin(),(x).end()
#define SZ(x)             ((int)(x).size())
// #define lson            l, mid, rt<<1
// #define rson            mid+1, r, rt<<1|1

typedef struct {
int q;
int l, r, k;
} Ques_t;

const int maxq = 210000;
const int maxn = 1e5+5;
const int maxm = maxn * 20;
int a[maxn], m;
Ques_t Q[maxq];
int T[maxn];
int lson[maxm], rson[maxm], c[maxm];
int tot, cur, q;

void init() {
tot = cur = m = 0;
}

int Build(int l, int r) {
int rt = tot++;

c[rt] = 0;
if (l == r)
return rt;

int mid = (l + r) >> 1;

lson[rt] = Build(l, mid);
rson[rt] = Build(mid+1, r);

return rt;
}

int Insert(int rt, int x, int delta) {
int nrt = tot++, ret = nrt;
int l = 0, r = m - 1, mid;

c[nrt] = c[rt] + delta;
while (l < r) {
mid = (l + r) >> 1;
if (x <= mid) {
lson[nrt] = tot++;
rson[nrt] = rson[rt];
nrt = lson[nrt];
rt = lson[rt];
r = mid;
} else {
lson[nrt] = lson[rt];
rson[nrt] = tot++;
nrt = rson[nrt];
rt = rson[rt];
l = mid + 1;
}
c[nrt] = c[rt] + delta;
}

return ret;
}

int Query_kth(int lrt, int rrt, int k) {
int l = 0, r = m - 1, mid;
int tmp;

while (l < r) {
mid = (l + r) >> 1;
tmp = c[lson[rrt]] - c[lson[lrt]];
if (tmp >= k) {
lrt = lson[lrt];
rrt = lson[rrt];
r = mid;
} else {
k -= tmp;
lrt = rson[lrt];
rrt = rson[rrt];
l = mid + 1;
}
}

return l;
}

int Query_Rank(int rt, int L, int R, int l, int r) {
if (L==l && R==r)
return c[rt];

int mid = (l + r) >> 1;

if (R <= mid)
return Query_Rank(lson[rt], L, R, l, mid);
else if (L > mid)
return Query_Rank(rson[rt], L, R, mid+1, r);
else
return Query_Rank(lson[rt], L, mid, l, mid) + Query_Rank(rson[rt], mid+1, R, mid+1, r);
}

void solve() {
__int64 ans1 = 0, ans2 = 0, ans3 = 0;
int tmp, id;

sort(a, a+m);
m = unique(a, a+m) - a;
T[cur] = Build(0, m-1);

rep(i, 0, q) {
if (Q[i].q == 0) {
id = lower_bound(a, a+m, Q[i].k) - a;
T[cur+1] = Insert(T[cur], id, 1);
++cur;
continue;
}

if (Q[i].q == 1) {
id = Query_kth(T[Q[i].l-1], T[Q[i].r], Q[i].k);
tmp = a[id];
ans1 += tmp;
} else if (Q[i].q == 2) {
id = lower_bound(a, a+m, Q[i].k) - a;
tmp = Query_Rank(T[cur], 0, id, 0, m-1);
ans2 += tmp;
} else {
id = Query_kth(T[0], T[cur], Q[i].k);
tmp = a[id];
ans3 += tmp;
}

#ifndef ONLINE_JUDGE
// printf("tmp = %d\n", tmp);
#endif
}

printf("%I64d\n%I64d\n%I64d\n", ans1, ans2, ans3);
}

int main() {
ios::sync_with_stdio(false);
#ifndef ONLINE_JUDGE
freopen("data.in", "r", stdin);
freopen("data.out", "w", stdout);
#endif

int t = 0;
char op[16];

while (scanf("%d", &q)!=EOF) {
init();
rep(i, 0, q) {
scanf("%s", op);
if (op[0] == 'I') {
scanf("%d", &Q[i].k);
a[m++] = Q[i].k;
Q[i].q = 0;
} else if (op[6] == '1') {
scanf("%d %d %d", &Q[i].l, &Q[i].r, &Q[i].k);
Q[i].q = 1;
} else if (op[6] == '2') {
scanf("%d", &Q[i].k);
Q[i].q = 2;
} else {
scanf("%d", &Q[i].k);
Q[i].q = 3;
}
}
printf("Case %d:\n", ++t);
solve();
}

#ifndef ONLINE_JUDGE
printf("time = %d.\n", (int)clock());
#endif

return 0;
}


数据发生器。

from copy import deepcopy
from random import randint, shuffle
import shutil
import string

def GenDataIn():
with open("data.in", "w") as fout:
t = 10
bound = 10**5
for tt in xrange(t):
n = randint(200, 300)
fout.write("%d\n" % (n))
L = range(1, n+1)
shuffle(L)
cur = 0
has = []
for i in xrange(n):
op = randint(0, 3)
if cur==0:
op=0
if op==0:
idx = randint(0, len(L)-1)
x = L[idx]
L.remove(x)
has.append(x)
cur += 1
fout.write("Insert %d\n" % x)
elif op==1:
l = randint(1, cur)
r = randint(l, cur)
k = randint(1, r-l+1)
fout.write("Query_1 %d %d %d\n" % (l, r, k))
elif op==2:
idx = randint(0, len(has)-1)
x = has[idx]
fout.write("Query_2 %d\n" % x)
else:
x = randint(1, cur)
fout.write("Query_3 %d\n" % x)

def MovDataIn():
desFileName = "F:\eclipse_prj\workspace\hdoj\data.in"
shutil.copyfile("data.in", desFileName)

if __name__ == "__main__":
GenDataIn()
MovDataIn()
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