版权声明：布呗之路的守望者 https://blog.csdn.net/hypHuangYanPing/article/details/82314554
/**
A.An Olympian Math Problem
链接:https://nanti.jisuanke.com/t/30990
签到题 打表规律输出n-1即可;
*/
#include<bits/stdc++.h>
#define ll long long
using namespace std;
int main (){
int t;cin>>t;
while(t--){
ll n;cin>>n;
cout<<n-1<<endl;
}
return 0;
}/**
B. The writing on the wall
链接：https://nanti.jisuanke.com/t/30991
题意:给出n*m矩阵,中间有些是黑色，问里面存在多少个没有黑色矩阵的子矩阵;
分析:对于一个长为L, 高为H的无黑点矩阵中包含的高为H的子矩阵个数为L+(L-1)+(L-2)+...+1个；
这是直接算的一种方法；如何程序表示该计算呢？其中h是固定值
for(int i=1; i<=L; i++){
for(int j=i; j>0; j--){
cnt+=h;
}
}
这样的一个双层循环就表示了上式；那么所有子矩阵个数就是三层循环，高由1->H：
for(int h=1; h<=H; h++){
for(int i=1; i<=L; i++){
for(int j=i; j>0; j--){
cnt+=h;
}
}
}
这是其中没有黑点的；如果在某处加了个黑点又如何计算呢？
我们固定一个右下得点让他往上往左看，如果当前小是不是再往右就更小了呢？
for(int i=1; i<=H; i++){
for(int j=1; j<=L; j++){
h=i;
for(int k=j; k>0; k--){
h=min(h, i-p[k]);
cnt+=h;
}
}
}
p[k]表示第k列中在i行上边的第一个黑点的位置，
那么我们现在用n代替H,m代替L这样就是一个复杂度为O(n*m*m)得算法;
看题后我们应该吧100当作m另一个当作n这样就时间刚好，我们用标记黑点得位置去维护h即可
*/
#include<bits/stdc++.h>
#define ll long long
using namespace std;
int a[100010][110],up[110];
int main(){
int T,cas=1;
scanf("%d",&T);
int n,m,k,x,y;
ll minn;
while(T--){
scanf("%d%d%d",&n,&m,&k);
memset(a,0,sizeof a);
memset(up,0,sizeof up);
for(int i=0;i<k;i++){
scanf("%d%d",&x,&y);
a[x][y]=1;
}
ll ans=0;
for(int i=1;i<=n;i++){
for(int j=1;j<=m;j++)
if(a[i][j])up[j]=i;
for(int j=1;j<=m;j++){
minn=0x7f7f7f7f7f7f7f7f;
for(int k=j;k>0;k--){
minn=min(minn,(ll)(i-up[k]));
ans+=minn;
}
}
}
printf("Case #%d: %lld\n",cas++,ans);
}
return 0;
}/**
E. AC Challenge
链接：https://nanti.jisuanke.com/t/30994
题意：n个题要去做,给出每个题的分数且给出解每道题目之前必须要解决的一些题目,求做多可以获得的分数。
思路：状压DP
dp[i]:i的二进制表示 确定做了那些题，dp[i]表示做这些题获得最大的分数;
看当前i是否满足心意,若满足直接将其更新即可
状态转移方程：dp[i+(1<<j)]=max(dp[i+(1<<j)],dp[i]+做j题的分数);
*/
#include<bits/stdc++.h>
#define maxn 1<<20
#define ll long long
using namespace std;
ll dp[maxn];
int a[25],b[25],d[25];
int su(int x){
int cnt=0;
while(x){
x-=x&-x;
cnt++;
}
return cnt+1;
}
int main(){
int n,x,y;
scanf("%d",&n);
for(int i=0;i<n;i++){
scanf("%d %d %d",&a[i],&b[i],&x);
while(x--){
scanf("%d",&y);
d[i]+=1<<(y-1);
}
}
ll now=(1<<n)-1;
for(int i=0;i<=now;i++){
if(dp[i]==0&&i!=0)continue;
for(int j=0;j<n;j++){
if((i&(1<<j))==0&&(i&d[j])==d[j]) dp[i+(1<<j)]=max(dp[i+(1<<j)],dp[i]+su(i)*a[j]+b[j]);
}
}
ll ans=0;
for(int i=0;i<=now;i++) ans=max(dp[i],ans);
printf("%lld\n",ans);
return 0;
}/**
G. Lpl and Energy-saving Lamps
链接：https://nanti.jisuanke.com/t/30996
题意:n个房间每个房间ki个灯泡,每个月买m个灯泡;
对于当前不足以将当前房间完整换完的,看后面房间是否满足条件能够完整换下,直到当前剩余灯泡换不出完整房间为止;
灯泡未用完下个月接着用;保证排在前面的房间的灯泡能够换完就一定得换 可通过样例进行斟酌;
分析:维护一个区间最小值,暴力找到小于等于当前存在灯泡数量的第一个数的位置;
利用两个数组 不断更新出当前数是否被用过 和用过之后的下一个数的位置即可;
具体细节可看代码标注;
*/
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int maxn=1e5+7;
const int Max=10000000000;
struct node{
ll x,id;
}a[maxn];
int cmp(node &a,node &b){ return ((a.x<b.x)||(a.x==b.x&&a.id<b.id)); }
ll b[maxn][4],ans1[maxn],ans2[maxn];
int n,m,k,tmp2,Minn,tmp1,x,id,Maxn;
int main(){
scanf("%d %d",&n,&m);
for (int i=1;i<=n;i++) scanf("%d",&a[i].x),a[i].id=i;
sort(a+1,a+1+n,cmp);
for(int i=1;i<=n;i++){
int tmp=a[i].x;
if (b[tmp][1]==0) b[tmp][1]=b[tmp][3]=i;//tmp是否存在,tmp是否被用过且下一个数比它大的数在第几个位置
b[tmp][2]=i;//tmp在原序列的位置
}
tmp1=0;tmp2=0;//可以换的当前房间数,剩余灯泡数;
Maxn=a[n].x;
Minn=a[1].x;//维护区间最左边小于某数的数
for (int i=1;i<maxn;i++){
if (Minn==Max){//如果当前月份能够将所有的灯泡换完的话,则没必要进行下面的步骤;
ans1[i]=tmp1;//第i个月可换完整房间数,剩余房间数;
ans2[i]=tmp2;
continue;
}
tmp2+=m;//当前剩余灯泡数;
if(tmp2<Minn){//不足以换出最小灯泡房间数
ans1[i]=tmp1;
ans2[i]=tmp2;
continue;
}
while(true){
x=Minn;
id=a[b[Minn][3]].id;
for(int j=Minn+1;j<=tmp2;j++){//暴力查询最左边的数的位置;
if(j>Maxn) break;
if(b[j][1]==0||b[j][3]>b[j][2]) continue;
if(a[b[j][3]].id<id){
id=a[b[j][3]].id;
x=j;
}
}
tmp1++;
tmp2-=x;
b[x][3]++;
if(x==Minn&&b[Minn][3]>b[Minn][2]){//minn数值已经用过了,暴力到下一个没用过的最小数字;
Minn++;
while(Minn<=Maxn){
if(b[Minn][1]==0||b[Minn][3]>b[Minn][2]) Minn++;
else break;
}
if(Minn>Maxn) Minn=Max;
}
if(tmp2<Minn) break;
}
ans1[i]=tmp1;
ans2[i]=tmp2;
}
int t;scanf("%d",&t);
while(t--){
int x;scanf("%d",&x);
printf("%lld %lld\n",ans1[x],ans2[x]);
}
return 0;
}
/**
J. Sum
链接:https://nanti.jisuanke.com/t/30999
题意:a=b*c; 问多少个组合(b,c)满足a=b*c且b c不能存在平方项;
example：12 可分解为(1,12),(3,4),(2,6);由于4和12存在2^2项,因此前两个不满足条件 12:ans=2;
分析:对于某数质因数分解存在幂次大于等于3 必定ans = 0;
存在平方项的 当前值对结果无贡献;其余就是2^cnt
直接暴力分块打表(对于完整块直接进行查询即可,非完整块的遍历sqrt(n)即可完成)
思想类似于求解大数(1e9)阶乘;
*/
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int maxn=2e7+7;
int solve(int n){
int ans = 0;
for(int i=2;i*i<=n;i++){
int cnt=0;
while(n%i==0) cnt++,n/=i;
if(cnt>=3) return 0;
if(cnt==1) ans++;
}
if(n>1) ans++;
return (1<<ans);
}
int blo=4473;
ll rp[100000]={0,17925,38149,59187,80870,102902,125290,147978,170819,193896,217296,240729,264388,288108,311957,335934,360007,384205,408458,432935,457437,482079,506638,531480,556213,581031,605963,630882,655976,681157,706324,731533,756858,782090,807495,832896,858326,883925,909431,935070,960680,986422,1012112,1037952,1063695,1089504,1115543,1141381,1167326,1193315,1219370,1245368,1271460,1297614,1323697,1349837,1376090,1402437,1428668,1455012,1481302,1507618,1534106,1560486,1587019,1613425,1639850,1666359,1692980,1719535,1746117,1772734,1799368,1826029,1852687,1879327,1906066,1932795,1959606,1986318,2013193,2040009,2066760,2093713,2120455,2147422,2174375,2201279,2228249,2255210,2282121,2309256,2336324,2363316,2390369,2417455,2444564,2471705,2498850,2525976,2553237,2580392,2607626,2634828,2662097,2689413,2716718,2744017,2771193,2798519,2825811,2853196,2880611,2908037,2935431,2962803,2990183,3017601,3045139,3072580,3100040,3127580,3155127,3182589,3210161,3237719,3265268,3292862,3320480,3348071,3375669,3403194,3430878,3458455,3486126,3513813,3541595,3569397,3597108,3624800,3652565,3680275,3708118,3735883,3763672,3791452,3819348,3847057,3874801,3902671,3930589,3958440,3986306,4014198,4042097,4069921,4097891,4125866,4153729,4181779,4209735,4237699,4265645,4293590,4321503,4349408,4377587,4405581,4433539,4461602,4489684,4517731,4545762,4573958,4601995,4630116,4658221,4686376,4714509,4742693,4770763,4798953,4827097,4855168,4883365,4911581,4939797,4967993,4996261,5024422,5052777,5080959,5109260,5137505,5165824,5194079,5222339,5250681,5279023,5307403,5335697,5363969,5392378,5420761,5449067,5477586,5505902,5534255,5562631,5591057,5619533,5647927,5676320,5704721,5733271,5761630,5790061,5818455,5846949,5875510,5903893,5932447,5960912,5989396,6018036,6046549,6075086,6103594,6132203,6160789,6189316,6217849,6246378,6274895,6303580,6332240,6360765,6389399,6417913,6446556,6475251,6503941,6532476,6561248,6589921,6618457,6647126,6675830,6704474,6733188,6761983,6790560,6819211,6847950,6876637,6905361,6934029,6962797,6991591,7020427,7049096,7077857,7106607,7135447,7164225,7193038,7221761,7250670,7279384,7308155,7336920,7365785,7394710,7423619,7452508,7481295,7510249,7539080,7567928,7596757,7625689,7654588,7683406,7712348,7741291,7770270,7799130,7827961,7856941,7885940,7914858,7943903,7972821,8001713,8030571,8059688,8088449,8117590,8146584,8175631,8204577,8233666,8262647,8291582,8320572,8349693,8378736,8407849,8436826,8465823,8494904,8523969,8553044,8582141,8611218,8640352,8669412,8698580,8727739,8756801,8785890,8815097,8844106,8873139,8902315,8931432,8960537,8989752,9018819,9047954,9077083,9106283,9135435,9164372,9193764,9222927,9252177,9281359,9310506,9339770,9368946,9398112,9427322,9456540,9485743,9515020,9544331,9573558,9602758,9632119,9661353,9690608,9719951,9749212,9778510,9807703,9836956,9866224,9895623,9924907,9954227,9983520,10012925,10042056,10071488,10100749,10130064,10159361,10188542,10218031,10247427,10276771,10306018,10335434,10364765,10394067,10423573,10452945,10482386,10511726,10541155,10570545,10599843,10629239,10658745,10688114,10717681,10746974,10776489,10805849,10835277,10864815,10894107,10923559,10952981,10982394,11011911,11041445,11070855,11100362,11129851,11159255,11188767,11218404,11247813,11277288,11306808,11336285,11365739,11395254,11424870,11454363,11483946,11513383,11543019,11572579,11602070,11631713,11661181,11690621,11720256,11749765,11779328,11808853,11838507,11868068,11897645,11927315,11956930,11986459,12016131,12045678,12075298,12104775,12134408,12164123,12193701,12223357,12253056,12282533,12312234,12341903,12371567,12401122,12430703,12460476,12490017,12519720,12549433,12579126,12608797,12638406,12668110,12697865,12727601,12757260,12786945,12816622,12846427,12876021,12905767,12935352,12965105,12994743,13024519,13054213,13083840,13113602,13143393,13173068,13202960,13232695,13262310,13292251,13321890,13351567,13381328,13411080,13440868,13470637,13500514,13530315,13559997,13589864,13619525,13649375,13679239,13708881,13738686,13768625,13798350,13828149,13858001,13887815,13917578,13947367,13977274,14007096,14037012,14066723,14096640,14126468,14156360,14186139,14215994,14245801,14275765,14305618,14335428,14365152,14395086,14425011,14454778,14484703,14514518,14544397,14574364,14604266,14634323,14664126,14694024,14723931,14753906,14783923,14813867,14843660,14873759,14903619,14933571,14963579,14993493,15023396,15053397,15083260,15113319,15143292,15173131,15203046,15233063,15263055,15293063,15323086,15352924,15382887,15412978,15442953,15472980,15502971,15532946,15562885,15592863,15622924,15652930,15682882,15713057,15742947,15772954,15802889,15832936,15863079,15893154,15923031,15953124,15983193,16013213,16043206,16073208,16103248,16133270,16163370,16193520,16223560,16253555,16283619,16313742,16343695,16373842,16403909,16434096,16464257,16494270,16524490,16554501,16584548,16614611,16644625,16674793,16704919,16734910,16765166,16795308,16825384,16855506,16885610,16915817,16945998,16976124,17006300,17036475,17066495,1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int main(){
int t;scanf("%d",&t);
while(t--){
int n;scanf("%d" ,&n);
ll ans=rp[n/blo];
for(int i=n/blo*blo+1;i<=n;i++) ans+=solve(i);
printf("%lld\n", ans);
}
return 0;
}/**
L.Magical Girl Haze
链接:https://nanti.jisuanke.com/t/31001
题意:n个点,m带权有向边,在使K条边权值为0的情况下,求1-->N的最短路。
分析:dis[i][j]:1-->i免费j条边的最小花费;
对于每一个点,存在两种松弛,第一是对普通的边进行松弛,第二是多免费一条边下的松弛;
dijkstra + 堆优化 即可
*/
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const int maxn=4e5+7;
struct node{
ll a, b, c;
bool operator > (const node &tmp) const{
return a>tmp.a;
}
};
ll n, m, k, cnt,nnn;
ll head[maxn],to[maxn<<1],nxt[maxn<<1],val[maxn<<1],dis[maxn][21];
void add(ll u, ll v, ll w){ to[cnt]=v;val[cnt]=w;nxt[cnt]=head[u];head[u]=cnt++;}
bool vis[maxn][21];
priority_queue <node,vector<node>,greater <node> > q;
void dijkstra(){
ll u,v,x;
memset(dis, 127, sizeof(dis));
nnn=dis[0][0];
q.push((node){0,1,0});
dis[1][0]=0;
while(!q.empty()){
u=q.top().b,x=q.top().c,q.pop();
if(vis[u][x]) continue;
vis[u][x]=1;
for(int i=head[u];i^-1;i=nxt[i]){
v=to[i];
if(dis[v][x]>dis[u][x]+val[i]){
dis[v][x]=dis[u][x] + val[i];
q.push((node){dis[v][x], v, x});
}
if(x+1<=k&&dis[v][x+1]>dis[u][x]){
dis[v][x+1]=dis[u][x];
q.push((node){dis[v][x + 1], v, x + 1});
}
}
}
}
int main(){
ll x,y,z,t;
scanf("%lld",&t);
while(t--){
memset(dis,0,sizeof dis);
memset(to,0,sizeof to);
memset(nxt,0,sizeof nxt);
memset(vis,false,sizeof vis);
scanf("%lld %lld %lld",&n,&m,&k);
memset(head, -1, sizeof(head));
for(int i=1;i<=m;i++){
scanf("%lld %lld %lld",&x,&y,&z);
add(x, y, z);
}
dijkstra();
printf("%lld\n",dis[n][k]==nnn?0:dis[n][k]);
}
return 0;
}/**
I. Skr
链接:https://nanti.jisuanke.com/t/30998
题意:计算字符串中所有回文字串的和.
回文自动机处理出回文串的大小,最后正向反向搜索出本质不同的回文子串进行相加即可。
*/
#include<bits/stdc++.h>
#define ll long long
using namespace std;
const ll mod=1e9+7;
const int maxn=2e6+7;
ll Pow(ll a,ll b){
ll ans=1;
while(b){
if(b&1) ans=ans*a%mod;
b>>=1;
a=a*a%mod;
}
return ans;
}
namespace PalindromicTree{
int nxt[maxn][10],fa[maxn],len[maxn],rs[maxn],num[maxn],cnt[maxn],mp[maxn];
int sz,n,last;
int newnode(int l){
memset(nxt[sz],0,sizeof nxt[0]);
len[sz]=l;
return sz++;
}
void init(){
rs[n=sz=0]=-1;
last=newnode(0);
fa[last]=newnode(-1);
}
int get_fa(int x){
while(rs[n-1-len[x]]!=rs[n]) x=fa[x];
return x;
}
void Insert(int ch){
rs[++n]=ch;
int p=get_fa(last);
if(!nxt[p][ch]){
int np=newnode(len[p]+2);
fa[np]=nxt[get_fa(fa[p])][ch];
nxt[p][ch]=np;
}
last=nxt[p][ch];
mp[last]=ch;
}
}
char s[maxn];
using namespace PalindromicTree;
ll ans;
const ll inv10=Pow(10,mod-2);
ll l[maxn],r[maxn],pp[maxn]={1};
void dfs(int u,int fa){
for(int i=0;i<10;i++) if(nxt[u][i]) dfs(nxt[u][i],u);
if(u==0||u==1) return ;
r[u]+=1;l[u]+=pp[len[u]-1];
if(len[u]==1) r[u]=0;
l[u]%=mod,r[u]%=mod;
ans=(ans+mp[u]*(l[u]+r[u]))%mod;
l[fa]+=l[u]*inv10%mod;
r[fa]+=r[u]*10%mod;
}
int main (){
for(int i=1;i<maxn;i++) pp[i]=pp[i-1]*10%mod;
PalindromicTree::init();
scanf("%s",s);int len=strlen(s);
for(int i=0;i<len;i++) Insert(s[i]-'0');
dfs(0,-1);
dfs(1,-1);
printf("%lld\n",ans);
return 0;
}