2017蓝桥杯省赛A组部分题题解

方块分割：#include<iostream>
#include<algorithm>
#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<map>
#include<stack>
#include<cmath>
#include<string>
using namespace std;
typedef long long ll;

int dx[4] = { 0,0,1,-1 }, dy[4] = { 1,-1,0,0 };
int vis[10][10];
int ans = 0;

void dfs(int x, int y)
{
if (x == 0 || y == 6 || x == 6 || y == 0)
{
ans++;
return;
}
for (int i = 0; i < 4; i++)
{
int xx = x + dx[i];
int yy = y + dy[i];
if (xx < 0 || xx>6 || yy < 0 || yy>6)
continue;
if (!vis[xx][yy])
{
vis[xx][yy] = 1;
vis[6 - xx][6 - yy] = 1;
dfs(xx, yy);
vis[xx][yy] = 0;
vis[6 - xx][6 - yy] = 0;
}
}
}

int main()
{
vis[3][3] = 1;
dfs(3, 3);
printf("%d\n", ans / 4);
return 0;
}包子凑数：#include<iostream>
#include<algorithm>
#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<map>
#include<stack>
#include<cmath>
#include<string>
using namespace std;
typedef long long ll;
const int maxn = 10010;
int dx[4] = { 0,0,1,-1 }, dy[4] = { 1,-1,0,0 };

int n, g, a[105], dp[maxn];

int gcd(int a, int b)
{
return b == 0 ? a : gcd(b, a%b);
}

int main()
{
scanf("%d", &n);
for (int i = 1; i <= n; i++)
scanf("%d", &a[i]);
g = a[1];
for (int i = 2; i <= n; i++)
g = gcd(g, a[i]);
if (g != 1)
{
printf("INF\n");
return 0;
}

dp[0] = 1;
for (int i = 1; i <= n; i++)
for (int j = 0; j + a[i] < maxn; j++)
if (dp[j])
dp[j + a[i]] = 1;
int cnt = 0;
for (int i = maxn - 1; i >= 0; i--)
if (dp[i] == 0)
cnt++;
printf("%d\n", cnt);
return 0;
}分巧克力：#include<iostream>
#include<algorithm>
#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<map>
#include<stack>
#include<cmath>
#include<string>
using namespace std;
typedef long long ll;
const int maxn = 1e5 + 5;
int dx[4] = { 0,0,1,-1 }, dy[4] = { 1,-1,0,0 };

int n, k, h[maxn], w[maxn];

bool check(int x)
{
int cnt = 0;
for (int i = 1; i <= n; i++)
cnt += (h[i] / x)*(w[i] / x);
return cnt >= k;
}

int main()
{
scanf("%d%d", &n, &k);
for (int i = 1; i <= n; i++) scanf("%d", &h[i]);
for (int i = 1; i <= n; i++) scanf("%d", &w[i]);

int l = 1, r = maxn, mid;
while (l <= r)
{
mid = (l + r) / 2;
if (check(mid))
l = mid + 1;
else
r = mid - 1;
}
printf("%d\n", l - 1);
return 0;
}油漆面积：#include<iostream>
#include<algorithm>
#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<map>
#include<stack>
#include<cmath>
#include<string>
using namespace std;
typedef long long ll;
const int maxn = 1e4 + 10;
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1

double x[maxn];

struct seg
{
double l, r, h;
int cnt;
seg(){}
seg(double a, double b, double c, int d):l(a),r(b),h(c),cnt(d){}
}edge[maxn];

bool cmp(seg a, seg b)
{
return a.h < b.h;
}

struct Node
{
double len;
int cnt;
}node[maxn * 4];

void pushdown(int l, int r, int rt)
{
if (node[rt].cnt)
node[rt].len = x[r + 1] - x[l];
else if (l == r)
node[rt].len = 0;
else
node[rt].len = node[rt << 1].len + node[rt << 1 | 1].len;
}

void update(int L, int R, int l, int r, int rt, int v)
{
if (L <= l&&R >= r)
{
node[rt].cnt += v;
pushdown(l, r, rt);
return;
}
int m = (l + r) >> 1;
if (L <= m)
update(L, R, lson, v);
if (R > m)
update(L, R, rson, v);
pushdown(l, r, rt);
}

int main()
{
double a, b, c, d;
int tot, n, cas = 1;
scanf("%d", &n);
tot = 0;
double ans = 0;
memset(node, 0, sizeof(node));
for (int i = 1; i <= n; i++)
{
scanf("%lf%lf%lf%lf", &a, &b, &c, &d);
x[tot] = a;
edge[tot++] = seg(a, c, b, 1);
x[tot] = c;
edge[tot++] = seg(a, c, d, -1);
}
sort(x, x + tot);
sort(edge, edge + tot, cmp);
int maxlen = unique(x, x + tot) - x;

for (int i = 0; i < tot; i++)
{
int l = lower_bound(x, x + maxlen, edge[i].l) - x;
int r = lower_bound(x, x + maxlen, edge[i].r) - x - 1;
update(l, r, 0, maxlen, 1, edge[i].cnt);
ans += node[1].len*(edge[i + 1].h - edge[i].h);
}
printf("%f\n", ans);//自行修改类型精度
return 0;
}