EOJ Monthly 2019.2


3676. 解题


官方题解:

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#include <bits/stdc++.h>
#include <ext/rope>
#include <algorithm>
using namespace __gnu_cxx;
using namespace std;
#define mst(a,b) memset(a,b,sizeof(a))
#define ALL(x) x.begin(),x.end()
#define pii pair<int, int>
#define debug(a) cout << #a": " << a << endl;
#define eularMod(a, b) a < b ? a : a % b + b
#define X first
#define Y second
inline int lowbit(int x){ return x & -x; }
typedef long long LL;
typedef unsigned long long ULL;
const int N = 1e6 + 10;
const int M = 5e7 + 10;
const int mod = (int) 1e9 + 7;
const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3fLL;
const double PI = acos(-1.0);
const double eps = 1e-6;

char s[N];
int a[N];
int pos[M];

int main() {
#ifdef purple_bro
freopen("in.txt", "r", stdin);
// freopen("out.txt","w",stdout);
#endif
scanf("%s", s + 1);

int q;
int len = strlen(s + 1);

scanf("%d", &q);

for (;q--;) {
int m;
int i;
int sys = 1;
int ans = -1;

scanf("%d", &m);

pos[0] = len + 1;

for (i = len; i >= 1; i--, sys = (sys * 10) % m) {
a[i] = (a[i + 1] + (s[i] - '0') * sys) % m;
if (pos[a[i]]) {
ans = pos[a[i]] - i - 1;
break;
}
pos[a[i]] = i;
}

if (~ans)
printf("%d %d\n", i, i + ans);
else
printf("%d\n", ans);

for (; i <= len; i++) {
pos[a[i]] = 0;
a[i] = 0;
}
}

return 0;
}

3681. 中位数


官方题解:

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#include <bits/stdc++.h>
#include <ext/rope>
#include <algorithm>
using namespace __gnu_cxx;
using namespace std;
#define mst(a,b) memset(a,b,sizeof(a))
#define ALL(x) x.begin(),x.end()
#define pii pair<int, int>
#define debug(a) cout << #a": " << a << endl;
#define eularMod(a, b) a < b ? a : a % b + b
#define X first
#define Y second
inline int lowbit(int x){ return x & -x; }
typedef long long LL;
typedef unsigned long long ULL;
const int N = 1e6 + 10;
const int mod = (int) 1e9 + 7;
const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3fLL;
const double PI = acos(-1.0);
const double eps = 1e-6;

vector<int> G[N];
int w[N];
int wt[N];
int dp[N];
int n, m;

int getAns(int u) {
if (u == n)
return wt[n];
int &res = dp[u];
if (res != INF)
return res;
res = -INF;
for (int v : G[u])
res = max(res, wt[u] + getAns(v));
return res;
}
bool check(int val) {
for (int i = 1; i <= n; i++) {
if (w[i] >= val)
wt[i] = 1;
else if (w[i] < val)
wt[i] = -1;
}
mst(dp, 0x3f);
return getAns(1) >= 0;
}

int main() {
#ifdef purple_bro
freopen("in.txt", "r", stdin);
// freopen("out.txt","w",stdout);
#endif
scanf("%d%d", &n, &m);

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

for (int i = 1; i <= m; i++) {
int u, v;
scanf("%d%d", &u, &v);
G[u].emplace_back(v);
}

int L = 0, R = 1000000001;
int ans = -1;

for (;L <= R;) {
int mid = L + R >> 1;
if (check(mid)) {
ans = mid;
L = mid + 1;
} else
R = mid - 1;
}

printf("%d\n", ans);

return 0;
}

这两道都是巧妙的思维题,马住。