2018 南京网络赛 J. Sum【离线打表】

J. Sum；
题意：f[x] = { x=a∗b的个数|a,b不能有平方因子 x = a ∗ b 的 个 数 | a , b 不 能 有 平 方 因 子 }，求： ∑ni=1f[i] ∑ i = 1 n f [ i ] .
分析：
离线分段打表，然后暴力查询。

#pragma GCC optimize ("O3")
#pragma GCC optimize ("O2")
#include 
using namespace std;
#define met(s) memset(s, 0, sizeof(s))
#define rep(i, a, b) for(int i = a; i <= b; ++i)
template <class T> inline void scan_d(T &ret) {
char c; ret = 0;
while ((c = getchar()) < '0' || c > '9');
while (c >= '0' && c <= '9') { 
ret = ret * 10 + (c - '0'), c = getchar();}}
typedef long long LL;
typedef unsigned long long ull;
typedef pairint> pii;
const int INF = 0x3f3f3f3f;
const int mod = 1e9 + 7;
const int MAXN = 2e7 + 10;
bool a[MAXN]; int b[MAXN];
int f[] = {0,43051,91191,141273,192584,244959,297950,351568,405683,460399,515459,570900,626633,682779,739045,795692,852483,909587,966912,1024390,1082052,1140025,1198114,1256322,1314718,1373276,1432028,1490835,1549817,1608989,1668193,1727545,1787135,1846643,1906390,1966195,2026146,2086096,2146136,2206431,2266667,2327135,2387549,2448152,2508871,2569601,2630462,2691445,2752371,2813462,2874639,2935915,2997158,3058528,3120032,3181515,3243119,3304757,3366520,3428094,3489932,3552044,3613936,3675992,3738181,3800237,3862490,3924649,3986994,4049282,4111735,4174216,4236737,4299181,4361698,4424465,4487066,4549842,4612686,4675533,4738511,4801405,4864289,4927289,4990388,5053627,5116664,5179914,5243229,5306643,5369867,5433318,5496754,5560189,5623791,5687265,5750870,5814434,5878078,5941713,6005474,6069335,6133203,6196958,6260885,6324796,6388725,6452693,6516762,6580831,6644824,6708952,6773127,6837116,6901373,6965625,7029992,7094214,7158539,7222889,7287263,7351801,7416284,7480799,7545416,7609896,7674449,7739107,7803782,7868350,7933207,7997841,8062722,8127413,8192274,8257084,8321906,8386908,8451805,8516711,8581801,8646872,8712055,8776972,8842096,8907197,8972275,9037389,9102547,9167660,9232961,9298285,9363554,9428838,9494157,9559561,9625004,9690447,9755938,9821311,9886950,9952341,10017983,10083336,10148844,10214511,10280203,10345820,10411389,10477188,10542883,10608523,10674240,10740072,10805861,10871705,10937504,11003239,11069223,11135127,11201007,11266950,11332921,11398800,11464883,11531043,11597052,11663081,11729193,11795095,11861262,11927525,11993705,12059801,12126025,12192161,12258400,12324765,12391040,12457206,12523516,12589800,12656166,12722647,12789067,12855435,12921848,12988106,13054579,13120976,13187504,13253953,13320508,13387020,13453602,13520191,13586774,13653326,13719869,13786622,13853247,13919860,13986514,14053203,14120008,14186683,14253309,14320169,14386885,14453540,14520392,14587304,14654166,14721013,14788025,14854944,14921887,14988913,15055781,15122815,15189684,15256723,15323818,15390837,15457662,15524804,15591829,15658940,15726171,15793160,15860307,15927503,15994523,16061729,16128806,16196180,16263185,16330499,16397659,16465173,16532492,16599543,16666832,16734026,16801580,16868992,16936281,17003734,17071064,17138487,17205892,17273262,17340555,17408234,17475663,17543179,17610633,17678073,17745712,17813338,17880846,17948260,18015903,18083659,18151158,18218758,18286380,18354109,18421709,18489411,18557022,18624730,18692444,18760128,18827784,18895625,18963400,19031065,19098848,19166686,19234290,19302333,19370154,19437952,19505801,19573738,19641642,19709539,19777519,19845360,19913314,19981311,20049275,20117231,20185285,20253372,20321385,20389349,20457277,20525251,20593338,20661406,20729330,20797638,20865650,20933626,21001835,21070039,21138111,21206251,21274436,21342628,21410818,21478897,21547076,21615240,21683484,21751910,21820144,21888218,21956598,22024813,22093104,22161473,22229668,22298010,22366325,22434698,22503073,22571473,22639973,22708167,22776638,22844856,22913339,22981813,23050191,23118657,23187142,23255760,23324126,23392633,23461131,23529723,23598181,23666695,23735094,23803842,23872307,23940890,24009642,24078082,24146811,24215412,24283975,24352612,24421331,24489922,24558490,24627264,24695920,24764581,24833370,24902012,24970658,25039591,25108380,25177023,25245874,25314713,25383395,25452216,25520950,25589640,25658587,25727356,25796374,25864892,25933934,26002836,26071797,26140573,26209372,26278284,26347174,26416220,26485076,26553898,26622902,26691832,26760824,26829736,26898791,26967661,27036594,27105540,27174566,27243596,27312740,27381584,27450706,27519815,27588857,27658008,27726961,27796263,27865373,27934401,28003600,28072720,28141911,28211044,28280152,28349278,28418433,28487556,28556760,28625858,28695275,28764526,28833776,28902816,28972150,29041283,29110608,29179991,29249091,29318181,29387803,29457005,29526153,29595505,29664850,29734247,29803499,29872852,29942284,30011625,30080989,30150288,30219657,30289056,30358441,30427851,30497293,30566596,30636082,30705538,30775130,30844631,30914174,30983865,31053104,31122720,31192185,31261708,31331179,31400665,31470167,31539629,31609415,31678905,31748423,31818049,31887517,31957195,32026828,32096363,32165782,32235458,32305187,32374684,32444202,32514025,32583567,32653329,32723079,32792672,32862322,32931981,33001587,33071461,33141122,33210831,33280440,33350201,33420074,33489755,33559362,33629179,33698999,33768791,33838507,33908292,33978065,34047766,34117622,34187483,34257522,34327221,34397226,34466780,34536661,34606560,34676502,34746324,34816149,34886244,34956127,35025894,35095848,35165726,35235542,35305473,35375439,35445390,35515410,35585385,35655575,35725400,35795501,35865375,35935339,36005327,36075391,36145351,36215350,36285340,36355393,36425210,36495439,36565467,36635633,36705664,36775711,36845959,36916012,36986127,37056227,37126284,37196391,37266373,37336429,37406632,37476732,37546854,37617135,37687066,37757288,37827432,37897612,37967807,38038091,38108260,38178409,38248734,383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inline void pm() {
    int p = 0;
    for(int i = 2; i * i < MAXN; ++i) {
        if(a[i]) continue;
        b[p++] = i;
        for(int j = i + i; j < MAXN; j += i) {
            a[j] = 1;
        }
    }
}

inline int so(int x) {
    int cnt = 0;
    for(int i = 0; a[x]; ++i) {
        int res = 0;
        while(x % b[i] == 0) {
            x /= b[i];
            res++;
        }
        if(res > 2) return 0;
        if(res == 1) cnt++;
    }
    if(x > 1) cnt++;
    return (1 << cnt);
}

inline void init(int L, int R) {
    pm();int ans = 0;
    for(int i = L; i < R; ++i) {
        ans += so(i);
//      if(i == MAXN - 10) printf("%lld\n", ans);
        if(i % 10000) continue;
        printf("%d,", ans);
    }
}

int main() {
    int T; pm();
    scanf("%d", &T);
    while(T--) {
        int n;
        scanf("%d", &n);
        int ans = f[n / 10000];
        for(int i = n / 10000 * 10000 + 1; i <= n; ++i) {
            ans += so(i);
        }
        printf("%d\n", ans);
    }
    return 0;
}