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Table of Content
A:贝壳找房
题解:打表,预处理1e5的表,然后根据表进行查询。
题目说了有序,不知道会不会有降序,总之写了也过了
#include <iostream>
#include <algorithm>
#include <array>
#include <limits>
#include <cmath>
#include <map>
#include <iomanip>
using namespace std;
using ll = long long;
using db = double;
map<ll, ll> house;
int main() {
ios::sync_with_stdio(false);
house[1] = 1;
ll prev = 1;
for (int i = 2; i <= 1e5 + 3; ++i) {
ll cur = prev + i + 1;
house[cur] = i;
prev = cur;
}
int n;
cin >> n;
while (n--) {
int num;
cin >> num;
prev = -1;
bool dir = false;
bool ok = true;
ll dis = 0;
if (num == 1) {
int cur;
cin >> cur;
ll pos = house[cur];
if (!pos) {
cout << "no" << endl;
} else {
cout << "yes" << endl;
}
} else {
while (num--) {
int cur;
cin >> cur;
if (prev == -1) {
ll pos = house[cur];
if (!pos) {
ok = false;
prev = 0;
continue;
} else {
ok = true;
}
prev = pos;
continue;
} else {
if (!ok)continue;
auto pos = house[cur];
if(!pos)
{
ok = false;
continue;
}
if(!dir)
{
dir = true;
dis = prev - pos;
if(abs(dis)>1)
{
ok = false;
continue;
}
prev = pos;
continue;
}
if(prev - pos == dis)
{
prev = pos;
continue;
}
else {
ok = false;
}
}
}
if (ok) {
cout << "yes" << endl;
} else {
cout << "no" << endl;
}
}
}
}
B 贝壳找房移山(简单)
题解:回溯。由于题目范围很小可以容忍复杂度相当高的算法。因此随便搞一个回溯就能过
#include <iostream>
#include <algorithm>
#include <array>
#include <limits>
#include <cmath>
#include <map>
#include <iomanip>
#include <queue>
#include <functional>
using namespace std;
using ll = long long;
using db = double;
struct Mountain {
int start, end, height;
Mountain() {}
Mountain(int s, int e, int h) : start(s), end(e), height(h) {}
bool operator<(const Mountain v) const {
if (height != v.height)
return height > v.height;
else
return end - start < v.end - v.start;
}
};
array<int, 10> road{};
int n, k;
int cnt = 0x3f3f3f3f;
void dfs(int _cnt)
{
vector<Mountain> q;
int status = 0;
int spos = 0;
for (int i = 1; i <= n + 1; ++i) {
if (status == 1) {
if (road[i] < road[i - 1]) {
status = 0;
q.push_back(Mountain(spos, i - 1, min(road[spos] - road[spos - 1], road[i - 1] - road[i])));
} else if (road[i] > road[i - 1]) {
spos = i;
}
} else {
if (road[i] > road[i - 1]) {
status = 1;
spos = i;
}
}
}
if (q.size() > k) {
for(auto el:q)
{
auto top = el;
int s = top.start;
int e = top.end;
for (int i = s; i <= e; ++i) {
--road[i];
}
dfs(_cnt+1);
for (int i = s; i <= e; ++i) {
++road[i];
}
}
} else {
cnt = min(_cnt,cnt);
}
}
int main() {
ios::sync_with_stdio(false);
int T;
cin >> T;
while (T--) {
cin >> n >> k;
for (int i = 1; i <= n; ++i) {
cin >> road[i];
}
road[n + 1] = road[0] = 0;
cnt = 0x3f3f3f3f;
dfs(0);
cout << cnt << endl;
}
}
C 贝壳找房移山(中等)
题解:枚举所有的山峰山谷,一起消去就行
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
using ll = long long;
ll n, k, t;
ll a;
vector<ll> high;
int main() {
cin >> t;
for (ll q = 1; q <= t; q++) {
cin >> n >> k;
ll last = 0, ans = 0;
high.clear();
bool which = true;
high.push_back(0);
for (ll i = 1; i <= n; i++) {
cin >> a;
if (which) {
if (a < last) {
high.push_back(last);
which = false;
}
} else {
if (a > last) {
high.push_back(last);
which = true;
}
}
last = a;
}
if (which) {
high.push_back(last);
high.push_back(0);
} else
high.push_back(0);
auto numofsf = static_cast<ll>(high.size() / 2);
for (ll i = 1; i <= numofsf - k; i++) {
ll willdel = 1;
for (ll j = 1; j <= high.size() / 2; j++) {
if (high[j * 2 - 1] - (max(high[j * 2 - 2], high[j * 2])) <
high[willdel] - max(high[willdel - 1], high[willdel + 1]))
willdel = j * 2 - 1;
}
if (high[willdel + 1] > high[willdel - 1]) {
ans += high[willdel] - high[willdel + 1];
high.erase(high.begin() + willdel);
high.erase(high.begin() + willdel);
} else {
ans += high[willdel] - high[willdel - 1];
high.erase(high.begin() + willdel - 1);
high.erase(high.begin() + willdel - 1);
}
}
cout << ans << endl;
}
}