2017 Chinese Multi-University Training, BeihangU Contest

Add More Zero

思路：log10(2^m) = m*log10(2)

代码：

#pragma GCC optimize(2)

#pragma GCC optimize(3)

#pragma GCC optimize(4)

#include<bits/stdc++.h>

using namespace std;

#define y1 y11

#define fi first

#define se second

#define pi acos(-1.0)

#define LL long long

//#define mp make_pair

#define pb emplace_back

#define ls rt<<1, l, m

#define rs rt<<1|1, m+1, r

#define ULL unsigned LL

#define pll pair<LL, LL>

#define pli pair<LL, int>

#define pii pair<int, int>

#define piii pair<int, pii>

#define puu pair<ULL, ULL>

#define pdd pair<long double, long double>

#define mem(a, b) memset(a, b, sizeof(a))

#define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

#define fopen freopen("in.txt", "r", stdin);freopen("out.txt", "w", stout);

//head

int n, cs = ;

int main() {

    while(~scanf("%d", &n)) {

        printf("Case #%d: %d\n", ++cs, (int)(n*log10(2.0)));

    }

    return ;

}

Balala Power!

思路：大数比较大小

代码：

#include <cstdio>

#include <vector>

#include <cstring>

#include <algorithm>

#include <iostream>

#include <queue>

using namespace std;

#define pb push_back

#define fi first

#define se second

#define debug(x) cerr<<#x << " := " << x << endl;

#define bug cerr<<"-----------------------"<<endl;

#define FOR(a, b, c) for(int a = b; a <= c; ++ a)

typedef long long ll;

typedef long double ld;

typedef pair<int, int> pii;

typedef pair<ll, ll> pll;

const int inf = 0x3f3f3f3f;

const int mod = 1e9+;

/**********showtime************/

            const int maxn = 1e5+;

            char str[maxn];

            string ss[maxn];

            vector<pii>vec[];

            int a[][maxn], mx[];

            int id[], vis[];

            bool cmp(int &x, int &y) {

                if(mx[x] < mx[y]) return true;

                else if(mx[x] > mx[y]) return false;

                else {

                    for (int i = mx[x]-; i >= ; --i) {

                        if(a[x][i] > a[y][i]) return false;

                        else if(a[x][i] < a[y][i]) return true;

                    }

                }

                return false;

            }

int main(){

            int n, cas = ;

            while(~scanf("%d", &n)) {

                for(int i=; i<; i++) vec[i].clear(), vis[i] = , mx[i] = ;

                for(int i=; i<; i++) for(int j=; j<maxn; j++) a[i][j]  = ;

                for(int i=; i<=n; i++) {

                    scanf("%s", str);

                    ss[i] = string(str);

                    vis[str[] - 'a'] = ;

                }

                for(int i=; i<=n; i++) {

                    int len = ss[i].length();

                    for(int j=; j<len; j++) {

                        a[ss[i][j] - 'a'][len - j - ] ++;

                    }

                }

                for(int i=; i<; i++) {

                    int jin = ;

                    for(int j=; j<maxn-; j++) {

                        a[i][j] += jin;

                        jin = a[i][j] / ;

                        a[i][j] = a[i][j] % ;

                        if(a[i][j] > ) {

                            mx[i] = j+;

                        }

                    }

                }

                for(int i=; i<; i++) id[i] = i;

                sort(id, id+, cmp);

                int pos = ;

                while(vis[id[pos]]) pos++;

                int pt = id[pos];

                for(int i=pos; i>=; i--) id[i] = id[i-];

                id[] = pt;

                ll ans = ;

                for(int i=; i<; i++) {

                    ll base = ;

                    for(int j=; j<maxn; j++) {

                        ans = (ans + 1ll*i * base *a[id[i]][j] % mod)%mod;

                        base = 1ll * base *  % mod;

                    }

                }

                ++cas;

                printf("Case #%d: %lld\n",cas,  ans);

            }

            return ;

}

Colorful Tree

思路：容斥，考虑对于每种颜色删去后，分成的块中的点两两之间对于这种颜色没有贡献

代码：

#pragma GCC optimize(2)

#pragma GCC optimize(3)

#pragma GCC optimize(4)

#include<bits/stdc++.h>

using namespace std;

#define y1 y11

#define fi first

#define se second

#define pi acos(-1.0)

#define LL long long

//#define mp make_pair

#define pb push_back

#define ls rt<<1, l, m

#define rs rt<<1|1, m+1, r

#define ULL unsigned LL

#define pll pair<LL, LL>

#define pli pair<LL, int>

#define pii pair<int, int>

#define piii pair<pii, int>

#define pdd pair<double, double>

#define mem(a, b) memset(a, b, sizeof(a))

#define debug(x) cerr << #x << " = " << x << "\n";

#define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

//head

const int N = 2e5 + ;

vector<int> g[N], stk[N];

int n, u, v, c[N], sz[N], blo[N], top[N];

bool vis[N];

void dfs(int u, int o) {

    sz[u] = ;

    for (int v : g[u]) {

        if(v != o) {

            dfs(v, u);

            sz[u] += sz[v];

        }

    }

    blo[u] = sz[u];

}

void DFS(int u, int o) {

    if(stk[c[u]].empty()) top[c[u]] -= sz[u];

    else blo[stk[c[u]].back()] -= sz[u];

    for (int v : g[u]){

        if(v != o) {

            stk[c[u]].pb(v);

            DFS(v, u);

            stk[c[u]].pop_back();

        }

    }

}

int cs = ;

int main() {

    while(~scanf("%d", &n)) {

        for (int i = ; i <= n; ++i) scanf("%d", &c[i]), vis[c[i]] = true;

        for (int i = ; i < n; ++i) scanf("%d %d", &u, &v), g[u].pb(v), g[v].pb(u);

        dfs(, );

        int cc = ;

        for (int i = ; i <= n; ++i) if(vis[i]) top[i] = n, ++cc; else top[i] = ;

        DFS(, );

        LL ans = n*1LL*(n-)/*cc;

        for (int i = ; i <= n; ++i) ans -= blo[i]*1LL*(blo[i]-)/;

        for (int i = ; i <= n; ++i) ans -= top[i]*1LL*(top[i]-)/;

        printf("Case #%d: %lld\n", ++cs, ans);

        for (int i = ; i <= n; ++i) g[i].clear(), vis[i] = false;

    }

    return ;

}

Division Game

Expectation of Division

Function

思路：a的某个长度为x环可以和b中长度为x因子的环构成函数

代码：

#pragma GCC optimize(2)

#pragma GCC optimize(3)

#pragma GCC optimize(4)

#include<bits/stdc++.h>

using namespace std;

#define y1 y11

#define fi first

#define se second

#define pi acos(-1.0)

#define LL long long

//#define mp make_pair

#define pb push_back

#define ls rt<<1, l, m

#define rs rt<<1|1, m+1, r

#define ULL unsigned LL

#define pll pair<LL, LL>

#define pli pair<LL, int>

#define pii pair<int, int>

#define piii pair<pii, int>

#define pdd pair<double, double>

#define mem(a, b) memset(a, b, sizeof(a))

#define debug(x) cerr << #x << " = " << x << "\n";

#define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

//head

const int N = 1e5 + ;

const int MOD = 1e9 + ;

int n, m, a[N], b[N], ca[N], cb[N];

LL ans[N];

bool vis[N], vv[N];

LL q_pow(LL n, LL k) {

    LL res = ;

    while(k) {

        if(k&) res = (res * n) % MOD;

        n = (n * n) % MOD;

        k >>= ;

    }

    return res;

}

int main() {

    int cs = ;

    while(~scanf("%d %d", &n, &m)) {

        for (int i = ; i < n; ++i) vis[i] = false, ca[i+] = , ans[i+] = ;

        for (int i = ; i < m; ++i) vv[i] = false, cb[i+] = ;

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

        for (int i = ; i < m; ++i) scanf("%d", &b[i]);

        for (int i = ; i < n; ++i) {

            if(!vis[i]) {

                int now = i, cc = ;

                while(!vis[now]) {

                    vis[now] = true;

                    now = a[now];

                    ++cc;

                }

                ca[cc]++;

            }

        }

        for (int i = ; i < m; ++i) {

            if(!vv[i]) {

                int now = i, cc = ;

                while(!vv[now]) {

                    vv[now] = true;

                    now = b[now];

                    ++cc;

                }

                cb[cc] ++;

            }

        }

        LL res = ;

        for (int i = ; i <= m; ++i) {

            cb[i] = (cb[i]*1LL*i)%MOD;

            for (int j = i; j <= n; j += i) {

                ans[j] = (ans[j] + cb[i]) % MOD;

            }

        }

        for (int j = ; j <= n; ++j) {

            if(ca[j]) {

                res = (res * q_pow(ans[j], ca[j])) % MOD;

            }

        }

        printf("Case #%d: %lld\n", ++cs, res);

    }

    return ;

}

Gear Up

Hints of sd0061

思路：nth_element

代码：

#pragma GCC optimize(2)

#pragma GCC optimize(3)

#pragma GCC optimize(4)

#include<bits/stdc++.h>

using namespace std;

#define y1 y11

#define fi first

#define se second

#define pi acos(-1.0)

#define LL long long

//#define mp make_pair

#define pb push_back

#define ls rt<<1, l, m

#define rs rt<<1|1, m+1, r

#define ULL unsigned LL

#define pll pair<LL, LL>

#define pli pair<LL, int>

#define pii pair<int, int>

#define piii pair<pii, int>

#define pdd pair<double, double>

#define mem(a, b) memset(a, b, sizeof(a))

#define debug(x) cerr << #x << " = " << x << "\n";

#define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

//head

 

const int N = 1e7 + ;

unsigned x, A, y, B, z, C;

int n, m, b[], id[];

unsigned a[N], ans[N];

inline unsigned rng61() {

    unsigned t;

    x = x ^ (x << );

    x = x ^ (x >> );

    x = x ^ (x << );

    t = x;

    x = y;

    y = z;

    z = (t ^ x) ^ y;

    return z;

}

int cs = ;

int main() {

    while(~scanf("%d %d %u %u %u", &n, &m, &A, &B, &C)) {

        for (int i = ; i <= m; ++i) scanf("%d", &b[i]);

        x = A, y = B, z = C;

        for (int i = ; i <= n; ++i) a[i] = rng61();

        printf("Case #%d: ", ++cs);

        for (int i = ; i <= m; ++i) id[i] = i;

        sort(id+, id++m, [](int x, int y){

                return b[x] < b[y];

             });

        nth_element(a+, a+b[id[m]]+, a+n+);

        ans[id[m]] = a[b[id[m]]+];

        for (int i = m-; i >= ; --i) {

            nth_element(a+, a+b[id[i]]+, a+b[id[i+]]+);

            ans[id[i]] = a[b[id[i]]+];

        }

        for (int i = ; i <= m; ++i) printf("%u%c", ans[i], " \n"[i==m]);

    }

    return ;

}

I Curse Myself

Journey with Knapsack

KazaQ's Socks

思路：打表找规律

代码：

#pragma GCC optimize(2)

#pragma GCC optimize(3)

#pragma GCC optimize(4)

#include<bits/stdc++.h>

using namespace std;

#define y1 y11

#define fi first

#define se second

#define pi acos(-1.0)

#define LL long long

//#define mp make_pair

#define pb emplace_back

#define ls rt<<1, l, m

#define rs rt<<1|1, m+1, r

#define ULL unsigned LL

#define pll pair<LL, LL>

#define pli pair<LL, int>

#define pii pair<int, int>

#define piii pair<int, pii>

#define puu pair<ULL, ULL>

#define pdd pair<long double, long double>

#define mem(a, b) memset(a, b, sizeof(a))

#define fio ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);

#define fopen freopen("in.txt", "r", stdin);freopen("out.txt", "w", stout);

//head

 

LL n, k;

int main() {

    int cs = ;

    while(~scanf("%lld %lld", &n, &k)) {

        LL res;

        if(n == ) res = k% == ?  : ;

        else if(k <= n-) res = k;

        else {

            if(k%(n-) == ) {

                --k;

                if((k/(n-))%) res = n;

                else res = n-;

            }

            else {

                res = k%(n-);

                if(res == ) res = n-;

                --res;

            }

        }

        printf("Case #%d: %lld\n", ++cs, res);

    }

    return ;

}

Limited Permutation

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